Higher order FEM for the obstacle problem of the \(p\)-Laplacian -- a variational inequality approach

DOI10.1016/j.camwa.2018.07.016zbMath1440.65176OpenAlexW2884228451WikidataQ59889828 ScholiaQ59889828MaRDI QIDQ2293583

Lothar Banz, Ernst Peter Stephan, Bishnu P. Lamichhane

Publication date: 5 February 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.07.016

zbMATH Keywords

a posteriori error estimatea priori error estimate\(hq\)-adaptive FEM\(p\)-Laplacian obstacle problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Numerical methods for variational inequalities and related problems (65K15) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

The interpolating element-free Galerkin method for the \(p\)-Laplace double obstacle mixed complementarity problem, A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements, A power penalty approach to a mixed quasilinear elliptic complementarity problem, Higher order mixed FEM for the obstacle problem of the \(p\)-Laplace equation using biorthogonal systems, A priori and a posteriori error estimates for \(hp\)-FEM for a Bingham type variational inequality of the second kind

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