A strongly nonlinear problem arising in glaciology

Jacques Colinge; Jacques Rappaz

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 2, page 395-406
  • ISSN: 0764-583X

Abstract

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The computation of glacier movements leads to a system of nonlinear partial differential equations. The existence and uniqueness of a weak solution is established by using the calculus of variations. A discretization by the finite element method is done. The solution of the discrete problem is proved to be convergent to the exact solution. A first simple numerical algorithm is proposed and its convergence numerically studied.

How to cite

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Colinge, Jacques, and Rappaz, Jacques. "A strongly nonlinear problem arising in glaciology." ESAIM: Mathematical Modelling and Numerical Analysis 33.2 (2010): 395-406. <http://eudml.org/doc/197445>.

@article{Colinge2010,
abstract = { The computation of glacier movements leads to a system of nonlinear partial differential equations. The existence and uniqueness of a weak solution is established by using the calculus of variations. A discretization by the finite element method is done. The solution of the discrete problem is proved to be convergent to the exact solution. A first simple numerical algorithm is proposed and its convergence numerically studied. },
author = {Colinge, Jacques, Rappaz, Jacques},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Nonlinear problem; finite elements; convex analysis; calculus of variations; glaciology.; nonlinear; glaciology; finite element method; convergence},
language = {eng},
month = {3},
number = {2},
pages = {395-406},
publisher = {EDP Sciences},
title = {A strongly nonlinear problem arising in glaciology},
url = {http://eudml.org/doc/197445},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Colinge, Jacques
AU - Rappaz, Jacques
TI - A strongly nonlinear problem arising in glaciology
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 2
SP - 395
EP - 406
AB - The computation of glacier movements leads to a system of nonlinear partial differential equations. The existence and uniqueness of a weak solution is established by using the calculus of variations. A discretization by the finite element method is done. The solution of the discrete problem is proved to be convergent to the exact solution. A first simple numerical algorithm is proposed and its convergence numerically studied.
LA - eng
KW - Nonlinear problem; finite elements; convex analysis; calculus of variations; glaciology.; nonlinear; glaciology; finite element method; convergence
UR - http://eudml.org/doc/197445
ER -

Citations in EuDML Documents

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  1. Sum S. Chow, Graham F. Carey, Michael L. Anderson, Finite element approximations of a glaciology problem
  2. Marco Picasso, Jacques Rappaz, Adrian Reist, Numerical simulation of the motion of a three-dimensional glacier
  3. Sum S. Chow, Graham F. Carey, Michael L. Anderson, Finite element approximations of a glaciology problem
  4. Roland Glowinski, Jacques Rappaz, Approximation of a nonlinear elliptic problem arising in a non-newtonian fluid flow model in glaciology
  5. Roland Glowinski, Jacques Rappaz, Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

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