# 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

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topColinge, 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

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

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