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              <doi provider="crossref">10.1007/s00158-005-0582-5</doi>
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            </citation>
            <citation key="9439_CR2">
              <unstructured_citation>Adalgeirsdottir, G.: Flow dynamics of Vatnajökull ice cap, Iceland. Mitteilung 181, Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie der ETH Zürich (2003)</unstructured_citation>
            </citation>
            <citation key="9439_CR3">
              <journal_title>J. Comput. Phys.</journal_title>
              <author>G Allaire</author>
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            </citation>
            <citation key="9439_CR4">
              <journal_title>J. Glaciol.</journal_title>
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              <doi provider="crossref">10.3189/002214310792447699</doi>
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              <journal_title>Journal of inverse and ill-posed problems</journal_title>
              <author>S Avdonin</author>
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              <doi provider="crossref">10.1515/JIIP.2009.018</doi>
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            </citation>
            <citation key="9439_CR6">
              <journal_title>SIAM J. Control. Optim.</journal_title>
              <author>R Becker</author>
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              <issue>1</issue>
              <first_page>113</first_page>
              <cYear>2000</cYear>
              <doi provider="crossref">10.1137/S0363012999351097</doi>
              <unstructured_citation>Becker, R., Kapp, H., Rannacher, R.: Adaptive finite element methods for optimal control of partial differential equations: basic concept. SIAM J. Control. Optim. 39 (1), 113–132 (2000). doi: 10.1137/S0363012999351097</unstructured_citation>
            </citation>
            <citation key="9439_CR7">
              <journal_title>J. Appl. Math.</journal_title>
              <author>CG Broyden</author>
              <volume>6</volume>
              <issue>1</issue>
              <first_page>76</first_page>
              <cYear>1970</cYear>
              <unstructured_citation>Broyden, C.G.: The convergence of a class of double-rank minimization algorithms 1. general considerations. J. Appl. Math. 6(1), 76–90 (1970)</unstructured_citation>
            </citation>
            <citation key="9439_CR8">
              <journal_title>J. Glaciol.</journal_title>
              <author>WF Budd</author>
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              <first_page>374</first_page>
              <cYear>2013</cYear>
              <doi provider="crossref">10.3189/2013JoG12J106</doi>
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              <journal_title>J. Glaciol.</journal_title>
              <author>E Bueler</author>
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            <citation key="9439_CR11">
              <journal_title>J. Comput. Appl. Math.</journal_title>
              <author>D Calvetti</author>
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              <first_page>423</first_page>
              <cYear>2000</cYear>
              <doi provider="crossref">10.1016/S0377-0427(00)00414-3</doi>
              <unstructured_citation>Calvetti, D., Morigi, S., Reichel, L., Sgallari, F.: Tikhonov regularization and the L-curve for large discrete ill-posed problems. J. Comput. Appl. Math. 123(12), 423–446 (2000). doi: 10.1016/S0377-0427(00)00414-3 . Numerical Analysis 2000. Vol. III: Linear Algebra</unstructured_citation>
            </citation>
            <citation key="9439_CR12">
              <journal_title>J. Glaciol.</journal_title>
              <author>EL Christensen</author>
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              <issue>154</issue>
              <first_page>531</first_page>
              <cYear>2000</cYear>
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              <unstructured_citation>Christensen, E.L., Reeh, N., Forsberg, R., Jorgensen, J.H., Skou, N., Woelders, K.: A low-cost glacier-mapping system. J. Glaciol. 46(154), 531–537 (2000). doi: 10.3189/172756500781833142</unstructured_citation>
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            <citation key="9439_CR13">
              <journal_title>J. Clim.</journal_title>
              <author>GKC Clarke</author>
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              <first_page>4282</first_page>
              <cYear>2013</cYear>
              <doi provider="crossref">10.1175/JCLI-D-12-00513.1</doi>
              <unstructured_citation>Clarke, G.K.C., Anslow, F.S., Jarosch, A.H., Radic, V., Menounos, B., Bolch, T., Berthier, E.: Ice volume and subglacial topography for western Canadian glaciers from mass balance fields thinning rates, and a bed stress model. J. Clim. 26, 4282–4303 (2013). doi: 10.1175/JCLI-D-12-00513.1</unstructured_citation>
            </citation>
            <citation key="9439_CR14">
              <journal_title>Int. J. Numer. Methods Fluids</journal_title>
              <author>Y Deng</author>
              <volume>71</volume>
              <issue>12</issue>
              <first_page>1475</first_page>
              <cYear>2013</cYear>
              <doi provider="crossref">10.1002/fld.3721</doi>
              <unstructured_citation>Deng, Y., Zhang, P., Liu, Y., Wu, Y., Liu, Z.: Optimization of unsteady incompressible Navier Stokes flows using variational level set method. Int. J. Numer. Methods Fluids 71(12), 1475–1493 (2013). doi: 10.1002/fld.3721</unstructured_citation>
            </citation>
            <citation key="9439_CR15">
              <journal_title>Ann. Glaciol.</journal_title>
              <author>D Farinotti</author>
              <volume>54</volume>
              <issue>63</issue>
              <first_page>18</first_page>
              <cYear>2012</cYear>
              <doi provider="crossref">10.3189/2013AoG63A603</doi>
              <unstructured_citation>Farinotti, D., Corr, H., Gudmundsson, G.H.: The ice thickness distribution of Flask Glacier, Antarctic Peninsula, determined by combining radio-echo soundings, surface velocity data, and flow modelling. Ann. Glaciol. 54(63), 18–24 (2012). doi: 10.3189/2013AoG63A603</unstructured_citation>
            </citation>
            <citation key="9439_CR16">
              <journal_title>Glob. Planet. Chang.</journal_title>
              <author>D Farinotti</author>
              <volume>68</volume>
              <issue>3</issue>
              <first_page>225</first_page>
              <cYear>2009</cYear>
              <doi provider="crossref">10.1016/j.gloplacha.2009.05.004</doi>
              <unstructured_citation>Farinotti, D., Huss, M., Bauder, A., Funk, M.: An estimate of the glacier ice volume in the Swiss Alps. Glob. Planet. Chang. 68(3), 225–231 (2009)</unstructured_citation>
            </citation>
            <citation key="9439_CR17">
              <journal_title>J. Glaciol.</journal_title>
              <author>D Farinotti</author>
              <volume>55</volume>
              <issue>191</issue>
              <first_page>422</first_page>
              <cYear>2009</cYear>
              <doi provider="crossref">10.3189/002214309788816759</doi>
              <unstructured_citation>Farinotti, D., Huss, M., Bauder, A., Funk, M., Truffer, M.: A method to estimate the ice volume and ice-thickness distribution of alpine glaciers. J. Glaciol. 55(191), 422–430 (2009)</unstructured_citation>
            </citation>
            <citation key="9439_CR18">
              <journal_title>The Computer Journal</journal_title>
              <author>R Fletcher</author>
              <volume>13</volume>
              <issue>3</issue>
              <first_page>317</first_page>
              <cYear>1970</cYear>
              <doi provider="crossref">10.1093/comjnl/13.3.317</doi>
              <unstructured_citation>Fletcher, R.: A new approach to variable metric algorithms. The Computer Journal 13(3), 317–322 (1970)</unstructured_citation>
            </citation>
            <citation key="9439_CR19">
              <journal_title>Turbulence and Combustion Bulletin</journal_title>
              <author>F Gallaire</author>
              <volume>73</volume>
              <first_page>27</first_page>
              <cYear>2007</cYear>
              <unstructured_citation>Gallaire, F.: Adjoint methods for flow control. European Research Community on Flow. Turbulence and Combustion Bulletin 73, 27–32 (2007)</unstructured_citation>
            </citation>
            <citation key="9439_CR20">
              <journal_title>IUGG/IAHS Symposium of Chamonix IAHS Publication</journal_title>
              <author>JW Glen</author>
              <volume>47</volume>
              <first_page>171</first_page>
              <cYear>1958</cYear>
              <unstructured_citation>Glen, J.W.: The flow law of ice. IUGG/IAHS Symposium of Chamonix IAHS Publication 47, 171–183 (1958)</unstructured_citation>
            </citation>
            <citation key="9439_CR21">
              <journal_title>Cryosphere</journal_title>
              <author>DN Goldberg</author>
              <volume>5</volume>
              <issue>2</issue>
              <first_page>315</first_page>
              <cYear>2011</cYear>
              <doi provider="crossref">10.5194/tc-5-315-2011</doi>
              <unstructured_citation>Goldberg, D.N., Sergienko, O.V.: Data assimilation using a hybrid ice flow model. Cryosphere 5(2), 315–327 (2011). doi: 10.5194/tc-5-315-2011</unstructured_citation>
            </citation>
            <citation key="9439_CR22">
              <journal_title>Math. Comput.</journal_title>
              <author>D Goldfarb</author>
              <volume>24</volume>
              <first_page>23</first_page>
              <cYear>1970</cYear>
              <doi provider="crossref">10.1090/S0025-5718-1970-0258249-6</doi>
              <unstructured_citation>Goldfarb, D.: A family of variable-metric methods derived by variational means. Math. Comput. 24, 23–26 (1970)</unstructured_citation>
            </citation>
            <citation key="9439_CR23">
              <doi provider="crossref">10.1007/978-3-642-03415-2</doi>
              <unstructured_citation>Greve, R., Blatter, H., 1st ed.: Dynamics of ice sheets and glaciers. Springer (2009)</unstructured_citation>
            </citation>
            <citation key="9439_CR24">
              <journal_title>J. Glaciol.</journal_title>
              <author>GH Gudmundsson</author>
              <volume>45</volume>
              <issue>150</issue>
              <first_page>219</first_page>
              <cYear>1999</cYear>
              <doi provider="crossref">10.3189/002214399793377086</doi>
              <unstructured_citation>Gudmundsson, G.H.: A three-dimensional numerical model of the confluence area of Unteraargletscher, Bernese Alps, Switzerland. J. Glaciol. 45(150), 219–230 (1999). doi: 10.3189/002214399793377086</unstructured_citation>
            </citation>
            <citation key="9439_CR25">
              <unstructured_citation>Gudmundsson, G.H., Thorsteinsson, T., Raymond, C.: Inferring bed topography and stickiness from surface data on ice streams. American Geophysical Union Fall Meeting Abstracts. Abstract number IP21A-0678 (2001)</unstructured_citation>
            </citation>
            <citation key="9439_CR26">
              <journal_title>J. Fluid Mech.</journal_title>
              <author>A Guégan</author>
              <volume>566</volume>
              <first_page>11</first_page>
              <cYear>2006</cYear>
              <doi provider="crossref">10.1017/S0022112006001303</doi>
              <unstructured_citation>Guégan, A., Schmid, P.J., Huerre, P.: Optimal energy growth and optimal control in swept Hiemenz flow. J. Fluid Mech. 566, 11–45 (2006). doi: 10.1017/S0022112006001303</unstructured_citation>
            </citation>
            <citation key="9439_CR27">
              <journal_title>J. Glaciol.</journal_title>
              <author>M Habermann</author>
              <volume>58</volume>
              <issue>210</issue>
              <first_page>795</first_page>
              <cYear>2012</cYear>
              <doi provider="crossref">10.3189/2012JoG11J168</doi>
              <unstructured_citation>Habermann, M., Maxwell, D., Truffer, M.: Reconstruction of basal properties in ice sheets using iterative inverse methods. J. Glaciol. 58(210), 795–807 (2012). doi: 10.3189/2012JoG11J168</unstructured_citation>
            </citation>
            <citation key="9439_CR28">
              <journal_title>Ann. Glaciol.</journal_title>
              <author>W Haeberli</author>
              <volume>21</volume>
              <first_page>206</first_page>
              <cYear>1995</cYear>
              <doi provider="crossref">10.3189/S0260305500015834</doi>
              <unstructured_citation>Haeberli, W., Hoelzle, M.: Application of inventory data for estimating characteristics of and regional climate-change effects on mountain glaciers: a pilot study with the European Alps. Ann. Glaciol. 21, 206–212 (1995)</unstructured_citation>
            </citation>
            <citation key="9439_CR29">
              <journal_title>Journal of Geophysical Research: Oceans</journal_title>
              <author>P Halfar</author>
              <volume>86</volume>
              <first_page>11,065</first_page>
              <cYear>1981</cYear>
              <doi provider="crossref">10.1029/JC086iC11p11065</doi>
              <unstructured_citation>Halfar, P.: On the dynamics of the ice sheets. Journal of Geophysical Research: Oceans 86, 11,065–11,072 (1981). doi: 10.1029/JC086iC11p11065</unstructured_citation>
            </citation>
            <citation key="9439_CR30">
              <journal_title>Journal of Geophysical Research: Oceans</journal_title>
              <author>P Halfar</author>
              <volume>88</volume>
              <first_page>6043</first_page>
              <cYear>1983</cYear>
              <doi provider="crossref">10.1029/JC088iC10p06043</doi>
              <unstructured_citation>Halfar, P.: On the dynamics of the ice sheets 2. Journal of Geophysical Research: Oceans 88, 6043–6051 (1983). doi: 10.1029/JC088iC10p06043</unstructured_citation>
            </citation>
            <citation key="9439_CR31">
              <journal_title>Ann. Glaciol.</journal_title>
              <author>P Heimbach</author>
              <volume>50</volume>
              <issue>52</issue>
              <first_page>67</first_page>
              <cYear>2009</cYear>
              <doi provider="crossref">10.3189/172756409789624256</doi>
              <unstructured_citation>Heimbach, P., Bugnion, V.: Greenland ice-sheet volume sensitivity to basal, surface and initial conditions derived from an adjoint model. Ann. Glaciol. 50(52), 67–80 (2009). doi: 10.3189/172756409789624256</unstructured_citation>
            </citation>
            <citation key="9439_CR32">
              <journal_title>Phys. Fluids</journal_title>
              <author>C Heining</author>
              <volume>23</volume>
              <issue>3</issue>
              <first_page>032,101</first_page>
              <cYear>2011</cYear>
              <doi provider="crossref">10.1063/1.3559144</doi>
              <unstructured_citation>Heining, C.: Velocity field reconstruction in gravity-driven flow over unknown topography. Phys. Fluids 23(3), 032,101 (2011). doi: 10.1063/1.3559144</unstructured_citation>
            </citation>
            <citation key="9439_CR33">
              <unstructured_citation>Hinze, M., Pinnau, R., Ulbrich, M., Ulbrich, S.: Optimization with PDE Constraints. Springer (2009)</unstructured_citation>
            </citation>
            <citation key="9439_CR34">
              <unstructured_citation>Hofer, T.: Numerical simulation and optimization of the alumina distribution in an aluminium electrolysis pot. doi: 10.5075/epfl-thesis-5023 . EPFL PhD thesis no. 5023 (2011)</unstructured_citation>
            </citation>
            <citation key="9439_CR35">
              <journal_title>J. Geophys. Res.</journal_title>
              <author>M Huss</author>
              <volume>113</volume>
              <first_page>F01,015</first_page>
              <cYear>2008</cYear>
              <doi provider="crossref">10.1029/2007JF000803</doi>
              <unstructured_citation>Huss, M., Bauder, A., Funk, M., Hock, R.: Determination of the seasonal mass balance of four Alpine glaciers since 1865. J. Geophys. Res. 113, F01,015 (2008). doi: 10.1029/2007JF000803</unstructured_citation>
            </citation>
            <citation key="9439_CR36">
              <doi provider="crossref">10.1029/2012JF002523</doi>
              <unstructured_citation>Huss, M., Farinotti, D.: Distributed ice thickness and volume of all glaciers around the globe. Journal of Geophysical Research: Earth Surface 117(F4) (2012). doi: 10.1029/2012JF002523</unstructured_citation>
            </citation>
            <citation key="9439_CR37">
              <doi provider="crossref">10.1029/2010GL042616</doi>
              <unstructured_citation>Huss, M., Hock, R., Bauder, A., Funk, M.: 100-year mass changes in the swiss alps linked to the atlantic multidecadal oscillation. Geophys. Res. Lett. 37 (2010). doi: 10.1029/2010GL042616</unstructured_citation>
            </citation>
            <citation key="9439_CR38">
              <journal_title>J. Hydrol.</journal_title>
              <author>MF Hutchinson</author>
              <volume>106</volume>
              <first_page>211</first_page>
              <cYear>1989</cYear>
              <doi provider="crossref">10.1016/0022-1694(89)90073-5</doi>
              <unstructured_citation>Hutchinson, M.F.: A new procedure for gridding elevation and stream line data with automatic removal of spurious pits. J. Hydrol. 106, 211–232 (1989)</unstructured_citation>
            </citation>
            <citation key="9439_CR39">
              <doi provider="crossref">10.1007/978-94-015-1167-4</doi>
              <unstructured_citation>Hutter, K.: Theoretical Glaciology. Reidel (1983)</unstructured_citation>
            </citation>
            <citation key="9439_CR40">
              <unstructured_citation>Jouvet, G.: Modélisation, analyse mathématique et simulation numérique de la dynamique des glaciers. doi: 10.5075/epfl-thesis-4677 . EPFL PhD thesis no. 4677 (2010)</unstructured_citation>
            </citation>
            <citation key="9439_CR41">
              <journal_title>J. Comp. Phys.</journal_title>
              <author>G Jouvet</author>
              <volume>228</volume>
              <first_page>6426</first_page>
              <cYear>2009</cYear>
              <doi provider="crossref">10.1016/j.jcp.2009.05.033</doi>
              <unstructured_citation>Jouvet, G., Huss, M., Blatter, H., Picasso, M., Rappaz, J.: Numerical simulation of Rhonegletscher from 1874 to 2100. J. Comp. Phys. 228, 6426–6439 (2009)</unstructured_citation>
            </citation>
            <citation key="9439_CR42">
              <journal_title>J. Glaciol.</journal_title>
              <author>G Jouvet</author>
              <volume>57</volume>
              <issue>206</issue>
              <first_page>1033</first_page>
              <cYear>2011</cYear>
              <doi provider="crossref">10.3189/002214311798843359</doi>
              <unstructured_citation>Jouvet, G., Huss, M., Funk, M., Blatter, H.: Modelling the retreat of Grosser Aletschgletscher, Switzerland, in a changing climate. J. Glaciol. 57(206), 1033–1045 (2011). doi: 10.3189/002214311798843359</unstructured_citation>
            </citation>
            <citation key="9439_CR43">
              <journal_title>IEEE International Conference on Neural Networks</journal_title>
              <author>J Kennedy</author>
              <volume>4</volume>
              <first_page>1942</first_page>
              <cYear>1995</cYear>
              <doi provider="crossref">10.1109/ICNN.1995.488968</doi>
              <unstructured_citation>Kennedy, J., Eberhart, R.: Particle swarm optimization. IEEE International Conference on Neural Networks 4, 1942–1948 (1995). doi: 10.1109/ICNN.1995.488968</unstructured_citation>
            </citation>
            <citation key="9439_CR44">
              <doi provider="crossref">10.1029/2007GL030980</doi>
              <unstructured_citation>Khazendar, A., Rignot, E., Larour, E.: Larsen B Ice Shelf rheology preceding its disintegration inferred by a control method. Geophys. Res. Lett. 34 (2007). doi: 10.1029/2007GL030980</unstructured_citation>
            </citation>
            <citation key="9439_CR45">
              <unstructured_citation>Kirner, P.: Modélisation mathématique et simulation numérique des phénomènes dynamiques et thermiques apparaissant dans un glacier. doi: 10.5075/epfl-thesis-3840 . EPFL PhD thesis no. 3840 (2007)</unstructured_citation>
            </citation>
            <citation key="9439_CR46">
              <unstructured_citation>Kuzmin, D.: A guide to numerical methods for transport equations. Free CFD Books. University of Nürnberg (2010)</unstructured_citation>
            </citation>
            <citation key="9439_CR47">
              <doi provider="crossref">10.1029/2004GL021693</doi>
              <unstructured_citation>Larour, E., Rignot, E., Joughin, I., Aubry, D.: Rheology of the Ronne Ice Shelf, Antarctica, inferred from satellite radar interferometry data using an inverse control method. Geophys. Res. Lett. 32(5) (2005). doi: 10.1029/2004GL021693</unstructured_citation>
            </citation>
            <citation key="9439_CR48">
              <journal_title>Geophys. Res. Lett.</journal_title>
              <author>HL Li</author>
              <volume>117</volume>
              <first_page>F01020</first_page>
              <cYear>2012</cYear>
              <unstructured_citation>Li, H.L., Ng, F., Li, Z.Q., Qin, D.H., Cheng, G.D.: An extended “perfect-plasticity” method for estimating ice thickness along the flow line of mountain glaciers. Geophys. Res. Lett. 117, F01020 (2012). doi: 10.1029/2011JF002104</unstructured_citation>
            </citation>
            <citation key="9439_CR49">
              <journal_title>J. Geophys. Res. - Oceans Atmos.</journal_title>
              <author>MW Mahaffy</author>
              <volume>81</volume>
              <issue>6</issue>
              <first_page>1059</first_page>
              <cYear>1976</cYear>
              <doi provider="crossref">10.1029/JC081i006p01059</doi>
              <unstructured_citation>Mahaffy, M.W.: 3-dimensional numerical model of ice sheets - tests on barnes ice cap. J. Geophys. Res. - Oceans Atmos. 81(6), 1059–1066 (1976). doi: 10.1029/JC081i006p01059</unstructured_citation>
            </citation>
            <citation key="9439_CR50">
              <unstructured_citation>Martin, N.: Modélisations directes et inverses d’écoulements géophysiques par méthodes variationnelles - application à la glaciologie. Ph.D. thesis, Université de Toulouse (2013)</unstructured_citation>
            </citation>
            <citation key="9439_CR51">
              <journal_title>J. Glaciol.</journal_title>
              <author>D Maxwell</author>
              <volume>54</volume>
              <first_page>888</first_page>
              <cYear>2008</cYear>
              <doi provider="crossref">10.3189/002214308787779889</doi>
              <unstructured_citation>Maxwell, D., Truffer, M., Avdonin, S., Stuefer, M.: An iterative scheme for determining glacier velocities and stresses. J. Glaciol. 54, 888–898 (2008)</unstructured_citation>
            </citation>
            <citation key="9439_CR52">
              <journal_title>J. Glaciol.</journal_title>
              <author>RW McNabb</author>
              <volume>58</volume>
              <issue>212</issue>
              <first_page>1151</first_page>
              <cYear>2012</cYear>
              <doi provider="crossref">10.3189/2012JoG11J249</doi>
              <unstructured_citation>McNabb, R.W., Hock, R., O’Neel, S., Rasmussen, L.A., Ahn, Y., Braun, M., Conway, H.B., Herreid, S., Joughin, I.R., Pfeffer, W.T., Smith, B.E., Truffer, M.: Using surface velocities to calculate ice thickness and bed topography: a case study at Columbia Glacier, Alaska, USA. J. Glaciol. 58(212), 1151–1164 (2012). doi: 10.3189/2012JoG11J249</unstructured_citation>
            </citation>
            <citation key="9439_CR53">
              <journal_title>Kybernetes</journal_title>
              <author>RE Mercer</author>
              <volume>7</volume>
              <issue>3</issue>
              <first_page>215</first_page>
              <cYear>1978</cYear>
              <doi provider="crossref">10.1108/eb005486</doi>
              <unstructured_citation>Mercer, R.E., Sampson, J.R.: Adaptive search using a reproductive meta-plan. Kybernetes 7(3), 215–228 (1978). doi: 10.1108/eb005486</unstructured_citation>
            </citation>
            <citation key="9439_CR54">
              <unstructured_citation>Michel, L.: Estimating the ice thickness of mountain glaciers from surface topography and mass-balance data. doi: 10.5075/epfl-thesis-5940 . EPFL PhD thesis no. 5940 (2013)</unstructured_citation>
            </citation>
            <citation key="9439_CR55">
              <journal_title>Inverse Problems</journal_title>
              <author>L Michel</author>
              <volume>29</volume>
              <issue>3</issue>
              <first_page>035,002</first_page>
              <cYear>2013</cYear>
              <doi provider="crossref">10.1088/0266-5611/29/3/035002</doi>
              <unstructured_citation>Michel, L., Picasso, M., Farinotti, D., Bauder, A., Funk, M., Blatter, H.: Estimating the ice thickness of mountain glaciers with an inverse approach using surface topography and mass-balance. Inverse Problems 29(3), 035,002 (2013). doi: 10.1088/0266-5611/29/3/035002</unstructured_citation>
            </citation>
            <citation key="9439_CR56">
              <doi provider="crossref">10.1515/jip-2013-0016</doi>
              <unstructured_citation>Michel, L., Picasso, M., Farinotti, D., Bauder, A., Funk, M., Blatter, H.: Estimating the ice thickness of mountain glaciers with a shape optimization algorithm using surface topography and mass-balance. Journal of Inverse and Ill-Posed Problems (2014). doi: 10.1515/jip-2013-0016 . In press</unstructured_citation>
            </citation>
            <citation key="9439_CR57">
              <journal_title>Comput. Geosci.</journal_title>
              <author>L Michel</author>
              <volume>66</volume>
              <first_page>182</first_page>
              <cYear>2014</cYear>
              <doi provider="crossref">10.1016/j.cageo.2014.01.012</doi>
              <unstructured_citation>Michel, L., Picasso, M., Farinotti, D., Funk, M., Blatter, H.: Estimating the ice thickness of shallow glaciers from surface topography and mass-balance data with a shape optimization algorithm. Comput. Geosci. 66, 182–199 (2014)</unstructured_citation>
            </citation>
            <citation key="9439_CR58">
              <journal_title>Geophysical &amp; Astrophysical Fluid Dynamics</journal_title>
              <author>LW Morland</author>
              <volume>29</volume>
              <issue>1-4</issue>
              <first_page>237</first_page>
              <cYear>1984</cYear>
              <doi provider="crossref">10.1080/03091928408248191</doi>
              <unstructured_citation>Morland, L.W.: Thermomechanical balances of ice sheet flows. Geophysical &amp; Astrophysical Fluid Dynamics 29(1-4), 237–266 (1984). doi: 10.1080/03091928408248191</unstructured_citation>
            </citation>
            <citation key="9439_CR59">
              <journal_title>J. Glaciol.</journal_title>
              <author>LW Morland</author>
              <volume>28</volume>
              <issue>98</issue>
              <first_page>71</first_page>
              <cYear>1982</cYear>
              <doi provider="crossref">10.1017/S0022143000011801</doi>
              <unstructured_citation>Morland, L.W., Johnson, I.R.: Effects of bed inclination and topography on steady isothermal ice sheets. J. Glaciol. 28(98), 71–90 (1982)</unstructured_citation>
            </citation>
            <citation key="9439_CR60">
              <journal_title>Geophys. Res. Lett.</journal_title>
              <author>M Morlighem</author>
              <volume>38</volume>
              <first_page>L19,503</first_page>
              <cYear>2011</cYear>
              <doi provider="crossref">10.1029/2011GL048659</doi>
              <unstructured_citation>Morlighem, M., Rignot, E., Seroussi, H., Larour, E., Dhia, H.B., Aubry, D.: A mass conservation approach for mapping glacier ice thickness. Geophys. Res. Lett. 38, L19,503 (2011). doi: 10.1029/2011GL048659</unstructured_citation>
            </citation>
            <citation key="9439_CR61">
              <unstructured_citation>Munson, T., Sarich, J., Wild, S., Benson, S., McInnes, L.C.: Tao 2.0 users manual. Tech. rep.rep., Mathematics and Computer Science Division, Argonne National Laboratory (2012). http://www.mcs.anl.gov/tao</unstructured_citation>
            </citation>
            <citation key="9439_CR62">
              <unstructured_citation>Nocedal, J., Wright, S.: Numerical optimization, 2nd edn. Springer Series in Operations Research and Financial Engineering. Springer (2006)</unstructured_citation>
            </citation>
            <citation key="9439_CR63">
              <journal_title>J. Glaciol.</journal_title>
              <author>JF Nye</author>
              <volume>2</volume>
              <issue>12</issue>
              <first_page>82</first_page>
              <cYear>1952</cYear>
              <doi provider="crossref">10.1017/S0022143000033967</doi>
              <unstructured_citation>Nye, J.F.: The mechanics of glacier flow. J. Glaciol. 2(12), 82–93 (1952)</unstructured_citation>
            </citation>
            <citation key="9439_CR64">
              <journal_title>Int. J. Geogr. Inf. Sci.</journal_title>
              <author>F Paul</author>
              <volume>26</volume>
              <issue>7</issue>
              <first_page>1173</first_page>
              <cYear>2012</cYear>
              <doi provider="crossref">10.1080/13658816.2011.627859</doi>
              <unstructured_citation>Paul, F., Linsbauer, A.: Modeling of glacier bed topography from glacier outlines, central branch lines, and a DEM. Int. J. Geogr. Inf. Sci. 26(7), 1173–1190 (2012). doi: 10.1080/13658816.2011.627859</unstructured_citation>
            </citation>
            <citation key="9439_CR65">
              <journal_title>Cryosphere</journal_title>
              <author>WJJ van Pelt</author>
              <volume>7</volume>
              <issue>3</issue>
              <first_page>987</first_page>
              <cYear>2013</cYear>
              <doi provider="crossref">10.5194/tc-7-987-2013</doi>
              <unstructured_citation>van Pelt, W.J.J., Oerlemans, J., Reijmer, C.H., Pettersson, R., Pohjola, V.A., Isaksson, E., Divine, D.: An iterative inverse method to estimate basal topography and initialize ice flow models. Cryosphere 7(3), 987–1006 (2013). doi: 10.5194/tc-7-987-2013</unstructured_citation>
            </citation>
            <citation key="9439_CR66">
              <journal_title>J. Glaciol.</journal_title>
              <author>N Petra</author>
              <volume>58</volume>
              <issue>211</issue>
              <first_page>889</first_page>
              <cYear>2012</cYear>
              <doi provider="crossref">10.3189/2012JoG11J182</doi>
              <unstructured_citation>Petra, N., Zhu, H., Stadler, G., Hughes, T.J.R., Ghattas, O.: An inexact Gauss Newton method for inversion of basal sliding and rheology parameters in a nonlinear Stokes ice sheet model. J. Glaciol. 58(211), 889–903 (2012). doi: 10.3189/2012JoG11J182</unstructured_citation>
            </citation>
            <citation key="9439_CR67">
              <journal_title>J. Geophys. Res. - Solid Earth</journal_title>
              <author>MJ Raymond</author>
              <volume>110</volume>
              <first_page>B08,411</first_page>
              <cYear>2005</cYear>
              <doi provider="crossref">10.1029/2005JB003681</doi>
              <unstructured_citation>Raymond, M.J., Gudmundsson, G.H.: On the relationship between surface and basal properties on glaciers, ice sheets, and ice streams. J. Geophys. Res. - Solid Earth 110, B08,411 (2005). doi: 10.1029/2005JB003681</unstructured_citation>
            </citation>
            <citation key="9439_CR68">
              <journal_title>Cryosphere Discuss.</journal_title>
              <author>MJ Raymond</author>
              <volume>3</volume>
              <issue>1</issue>
              <first_page>181</first_page>
              <cYear>2009</cYear>
              <doi provider="crossref">10.5194/tcd-3-181-2009</doi>
              <unstructured_citation>Raymond, M.J., Gudmundsson, G.H.: Estimating basal properties of glaciers from surface measurements: a non-linear Bayesian inversion approach. Cryosphere Discuss. 3(1), 181–222 (2009). doi: 10.5194/tcd-3-181-2009</unstructured_citation>
            </citation>
            <citation key="9439_CR69">
              <journal_title>J. Glaciol.</journal_title>
              <author>M Raymond-Pralong</author>
              <volume>57</volume>
              <issue>202</issue>
              <first_page>315</first_page>
              <cYear>2011</cYear>
              <doi provider="crossref">10.3189/002214311796406004</doi>
              <unstructured_citation>Raymond-Pralong, M., Gudmundsson, G.H.: Bayesian estimation of basal conditions on Rutford Ice Stream, West Antarctica, from surface data. J. Glaciol. 57(202), 315–324 (2011)</unstructured_citation>
            </citation>
            <citation key="9439_CR70">
              <journal_title>Flow, Turbulence and Combustion</journal_title>
              <author>R Roth</author>
              <volume>90</volume>
              <issue>4</issue>
              <first_page>763</first_page>
              <cYear>2013</cYear>
              <doi provider="crossref">10.1007/s10494-012-9439-3</doi>
              <unstructured_citation>Roth, R., Ulbrich, S.: A discrete adjoint approach for the optimization of unsteady turbulent flows. Flow, Turbulence and Combustion 90(4), 763–783 (2013). doi: 10.1007/s10494-012-9439-3</unstructured_citation>
            </citation>
            <citation key="9439_CR71">
              <journal_title>J. Glaciol.</journal_title>
              <author>M Schafer</author>
              <volume>53</volume>
              <issue>183</issue>
              <first_page>713</first_page>
              <cYear>2007</cYear>
              <doi provider="crossref">10.3189/002214307784409234</doi>
              <unstructured_citation>Schafer, M., Meur, E.L.: Improvement of a 2-D SIA ice-flow model: application to Glacier de Saint-Sorlin, France. J. Glaciol. 53(183), 713–722 (2007). doi: 10.3189/002214307784409234</unstructured_citation>
            </citation>
            <citation key="9439_CR72">
              <journal_title>Math. Comput.</journal_title>
              <author>DF Shanno</author>
              <volume>24</volume>
              <first_page>647</first_page>
              <cYear>1970</cYear>
              <doi provider="crossref">10.1090/S0025-5718-1970-0274029-X</doi>
              <unstructured_citation>Shanno, D.F.: Conditioning of quasi-Newton methods for function minimization. Math. Comput. 24, 647–656 (1970)</unstructured_citation>
            </citation>
            <citation key="9439_CR73">
              <journal_title>J. Glaciol.</journal_title>
              <author>T Thorsteinsson</author>
              <volume>49</volume>
              <issue>167</issue>
              <first_page>481</first_page>
              <cYear>2003</cYear>
              <doi provider="crossref">10.3189/172756503781830502</doi>
              <unstructured_citation>Thorsteinsson, T., Raymond, C.F., Gudmundsson, G.H., Bindschadler, R.A., Vornberger, P., Joughin, I.: Bed topography and lubrication inferred from surface measurements on fast-flowing ice streams. J. Glaciol. 49(167), 481–490 (2003). doi: 10.3189/172756503781830502</unstructured_citation>
            </citation>
            <citation key="9439_CR74">
              <journal_title>Soviet Math. Doklady</journal_title>
              <author>A Tikhonov</author>
              <volume>4</volume>
              <first_page>1035</first_page>
              <cYear>1963</cYear>
              <unstructured_citation>Tikhonov, A.: Solution of incorrectly formulated problems and the regularization method. Soviet Math. Doklady 4, 1035–1038 (1963)</unstructured_citation>
            </citation>
            <citation key="9439_CR75">
              <journal_title>Ann. Glaciol.</journal_title>
              <author>A Vieli</author>
              <volume>36</volume>
              <issue>1</issue>
              <first_page>197</first_page>
              <cYear>2003</cYear>
              <doi provider="crossref">10.3189/172756403781816338</doi>
              <unstructured_citation>Vieli, A., Payne, A.J.: Application of control methods for modelling the flow of Pine Island Glacier, West Antarctica. Ann. Glaciol. 36(1), 197–204 (2003). doi: 10.3189/172756403781816338</unstructured_citation>
            </citation>
            <citation key="9439_CR76">
              <journal_title>J. Glaciol.</journal_title>
              <author>J Weertman</author>
              <volume>3</volume>
              <issue>21</issue>
              <first_page>33</first_page>
              <cYear>1957</cYear>
              <doi provider="crossref">10.1017/S0022143000024709</doi>
              <unstructured_citation>Weertman, J.: On the sliding of glaciers. J. Glaciol. 3(21), 33–38 (1957)</unstructured_citation>
            </citation>
            <citation key="9439_CR77">
              <journal_title>Comput. Methods Appl. Mech. Eng.</journal_title>
              <author>T Yamada</author>
              <volume>199</volume>
              <issue>4548</issue>
              <first_page>2876</first_page>
              <cYear>2010</cYear>
              <doi provider="crossref">10.1016/j.cma.2010.05.013</doi>
              <unstructured_citation>Yamada, T., Izui, K., Nishiwaki, S., Takezawa, A.: A topology optimization method based on the level set method incorporating a fictitious interface energy. Comput. Methods Appl. Mech. Eng. 199(4548), 2876–2891 (2010). doi: 10.1016/j.cma.2010.05.013</unstructured_citation>
            </citation>
            <citation key="9439_CR78">
              <doi provider="crossref">10.2514/6.2008-5857</doi>
              <unstructured_citation>Yamaleev, N., Diskin, B., Nielsen, E.: Adjoint-based methodology for time-dependent optimization. 12th The American Institute of Aeronautics and Astronautics/International Society for Structural and Multidisciplinary Optimization (AIAA/ISSMO) Multidisciplinary Analysis and Optimization Conference MAO-10 (2008)</unstructured_citation>
            </citation>
            <citation key="9439_CR79">
              <journal_title>J. Comput. Phys.</journal_title>
              <author>S Zhou</author>
              <volume>227</volume>
              <issue>24</issue>
              <first_page>10,178</first_page>
              <cYear>2008</cYear>
              <doi provider="crossref">10.1016/j.jcp.2008.08.022</doi>
              <unstructured_citation>Zhou, S., Li, Q.: A variational level set method for the topology optimization of steady-state NavierStokes flow. J. Comput. Phys. 227(24), 10,178–10,195 (2008). doi: 10.1016/j.jcp.2008.08.022 . http://www.sciencedirect.com/science/article/pii/S002199910800449X</unstructured_citation>
            </citation>
            <citation key="9439_CR80">
              <journal_title>Ann. Glaciol.</journal_title>
              <author>T Zwinger</author>
              <volume>45</volume>
              <first_page>29</first_page>
              <cYear>2007</cYear>
              <doi provider="crossref">10.3189/172756407782282543</doi>
              <unstructured_citation>Zwinger, T., Greve, R., Gagliardini, O., Shiraiwa, T., Lyly, M.: A full Stokes-flow thermo-mechanical model for firn and ice applied to the Gorshkov crater glacier, Kamchatka. Ann. Glaciol. 45, 29–37 (2007)</unstructured_citation>
            </citation>
          </citation_list>
        </journal_article>
      </journal>
    </crossref>
  </doi_record>
</doi_records>