Analysis and Finite Element Approximation of a Nonlinear Stationary Stokes Problem Arising in Glaciology
- Jouvet, Guillaume Chair of Numerical Analysis and Simulation, EPFL, 1015 Lausanne, Switzerland
- Rappaz, Jacques Chair of Numerical Analysis and Simulation, EPFL, 1015 Lausanne, Switzerland
Published in:
- Advances in Numerical Analysis. - Hindawi Limited. - 2011, vol. 2011, p. 1-24
English
The aim of this paper is to study a nonlinear stationary Stokes problem with mixed boundary conditions that describes the ice velocity and pressure fields of grounded glaciers under Glen's flow law. Using convex analysis arguments, we prove the existence and the uniqueness of a weak solution. A finite element method is applied with approximation spaces that satisfy the inf-sup condition, and a priori error estimates are established by using a quasinorm technique. Several algorithms (including Newton's method) are proposed to solve the
nonlinearity of the Stokes problem and are proved to be convergent. Our results are supported by numerical convergence studies.
nonlinearity of the Stokes problem and are proved to be convergent. Our results are supported by numerical convergence studies.
- Language
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- English
- Open access status
- gold
- Identifiers
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- DOI 10.1155/2011/164581
- ISSN 1687-9562
- Persistent URL
- https://sonar.rero.ch/global/documents/294755
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