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1

Manufactured solutions and the verification of three-dimensional Stokes ice-sheet models

by Leng, W., Ju, L., Gunzburger, M., Price, S.
Published in The Cryosphere (2013)
“... with kinematic boundary conditions and is mainly based on the solution of a first-order partial differential...”

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2

Manufactured solutions and the verification of three-dimensional Stokes ice-sheet models

by W. Leng, L. Ju, M. Gunzburger, S. Price
Published in The Cryosphere (2013)
“... with kinematic boundary conditions and is mainly based on the solution of a first-order partial differential...”

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3

Manufactured solutions and the verification of three-dimensional Stokes ice-sheet models

by W. Leng, L. Ju, M. Gunzburger, S. Price
Published in The Cryosphere (2013)
“... with kinematic boundary conditions and is mainly based on the solution of a first-order partial differential...”

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4

A Bayesian hierarchical model for glacial dynamics based on the shallow ice approximation and its evaluation using analytical solutions

by G. Gopalan, B. Hrafnkelsson, G. Aðalgeirsdóttir, A. H. Jarosch, F. Pálsson
Published in The Cryosphere (2018)
“... for solving the SIA partial differential equation (PDE). An additional novelty of this work is the correction...”

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5

A Bayesian hierarchical model for glacial dynamics based on the shallow ice approximation and its evaluation using analytical solutions

by G. Gopalan, B. Hrafnkelsson, G. Aðalgeirsdóttir, A. H. Jarosch, F. Pálsson
Published in The Cryosphere (2018)
“... for solving the SIA partial differential equation (PDE). An additional novelty of this work is the correction...”

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6

A Bayesian hierarchical model for glacial dynamics based on the shallow ice approximation and its evaluation using analytical solutions

by Gopalan, Giridhar Raja, Hrafnkelsson, Birgir, Adalgeirsdottir, Gudfinna, Jarosch, Alexander H., Pálsson, Finnur
Published in The Cryosphere (2018)
“... for solving the SIA partial differential equation (PDE). An additional novelty of this work is the correction...”

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7

A Bayesian hierarchical model for glacial dynamics based on the shallow ice approximation and its evaluation using analytical solutions

by Gopalan, Giri, Hrafnkelsson, Birgir, Aðalgeirsdóttir, Guðfinna, Jarosch, Alexander H., Pálsson, Finnur
Published in The Cryosphere (2018)
“... for solving the SIA partial differential equation (PDE). An additional novelty of this work is the correction...”

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8

Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model

by H. Zhu, N. Petra, G. Stadler, T. Isaac, T. J. R. Hughes, O. Ghattas
Published in The Cryosphere (2016)
“... and Hessian expressions for the resulting partial differential equation (PDE)-constrained optimization problem...”

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9

Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model

by H. Zhu, N. Petra, G. Stadler, T. Isaac, T. J. R. Hughes, O. Ghattas
Published in The Cryosphere (2016)
“... and Hessian expressions for the resulting partial differential equation (PDE)-constrained optimization problem...”

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10

The contribution of Humboldt Glacier, northern Greenland, to sea-level rise through 2100 constrained by recent observations of speedup and retreat

by Hillebrand, Trevor R., Hoffman, Matthew J., Perego, Mauro, Price, Stephen F., Howat, Ian M.
Published in The Cryosphere (2022)
“...-constrained (partial differential equation) optimization. Next, we impose calving rates to match mean observed...”

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11

The contribution of Humboldt Glacier, northern Greenland, to sea-level rise through 2100 constrained by recent observations of speedup and retreat

by T. R. Hillebrand, M. J. Hoffman, M. Perego, S. F. Price, I. M. Howat
Published in The Cryosphere (2022)
“...-constrained (partial differential equation) optimization. Next, we impose calving rates to match mean observed...”

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12

Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model

by Zhu, Hongyu, Petra, Noemi, Stadler, Georg, Isaac, Tobin, Hughes, Thomas J. R., Ghattas, Omar
Published in The Cryosphere (2016)
“... and Hessian expressions for the resulting partial differential equation (PDE)-constrained optimization problem...”

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13

The contribution of Humboldt Glacier, northern Greenland, to sea-level rise through 2100 constrained by recent observations of speedup and retreat

by T. R. Hillebrand, M. J. Hoffman, M. Perego, S. F. Price, I. M. Howat
Published in The Cryosphere (2022)
“...-constrained (partial differential equation) optimization. Next, we impose calving rates to match mean observed...”

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14

Elements of future snowpack modeling – Part 1: A physical instability arising from the nonlinear coupling of transport and phase changes

by Schürholt, Konstantin, Kowalski, Julia, Löwe, Henning
Published in The Cryosphere (2022)
“... not designed to cope with mathematical particularities of arbitrary, nonlinear partial differential equations...”

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15

Elements of future snowpack modeling – Part 1: A physical instability arising from the nonlinear coupling of transport and phase changes

by K. Schürholt, J. Kowalski, H. Löwe
Published in The Cryosphere (2022)
“... not designed to cope with mathematical particularities of arbitrary, nonlinear partial differential equations...”

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16

Elements of future snowpack modeling – Part 1: A physical instability arising from the nonlinear coupling of transport and phase changes

by K. Schürholt, J. Kowalski, H. Löwe
Published in The Cryosphere (2022)
“... not designed to cope with mathematical particularities of arbitrary, nonlinear partial differential equations...”

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17

Reformulating the full-Stokes ice sheet model for a more efficient computational solution

by J. K. Dukowicz
Published in The Cryosphere (2012)
“... action principle as well as a novel set of Euler-Lagrange partial differential equations and boundary...”

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18

Reformulating the full-Stokes ice sheet model for a more efficient computational solution

by Dukowicz, J. K.
Published in The Cryosphere (2012)
“... action principle as well as a novel set of Euler-Lagrange partial differential equations and boundary...”

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19

Reformulating the full-Stokes ice sheet model for a more efficient computational solution

by J. K. Dukowicz
Published in The Cryosphere (2012)
“... action principle as well as a novel set of Euler-Lagrange partial differential equations and boundary...”

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