Steady, Shallow Ice Sheets as Obstacle Problems: Well-Posedness and Finite Element Approximation

DOI10.1137/110856654zbMath1252.49005OpenAlexW2018245982MaRDI QIDQ3143287

Ed Bueler, Guillaume Jouvet

Publication date: 29 November 2012

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b20693c2425d8ac06b7bf82b6242012ff8aa3ebb

zbMATH Keywords

finite elementsvariational inequalityobstacle problem\(p\)-Laplaceshallow ice approximationice sheet model

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Partial differential inequalities and systems of partial differential inequalities (35R45) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solutions to equations with nonlinear operators (65J15) Applications to the sciences (65Z05) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Numerical methods for variational inequalities and related problems (65K15)

Related Items (10)

An adaptive Newton multigrid method for a model of marine ice sheets ⋮ A preconditioned descent algorithm for variational inequalities of the second kind involving the \(p\)-Laplacian operator ⋮ A Gradient Discretization Method to Analyze Numerical Schemes for Nonlinear Variational Inequalities, Application to the Seepage Problem ⋮ On the dynamics of grounded shallow ice sheets: modeling and analysis ⋮ Inference of the bottom properties in shallow ice approximation models ⋮ The interpolating element-free Galerkin method for the \(p\)-Laplace double obstacle mixed complementarity problem ⋮ Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities ⋮ Conservation Laws for Free-Boundary Fluid Layers ⋮ Higher order FEM for the obstacle problem of the \(p\)-Laplacian -- a variational inequality approach ⋮ Higher order mixed FEM for the obstacle problem of the \(p\)-Laplace equation using biorthogonal systems

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