A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm

DOI10.1090/S0025-5718-06-01819-9zbMath1121.65111MaRDI QIDQ3420223

Carsten Carstensen, Wen-bin Liu, Ning-Ning Yan

Publication date: 1 February 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

finite elementgradient recovery\(p\)-Laplaciana posteriori error estimatorsquasi-norm error bounds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (14)

A Posteriori Estimates for the Stochastic Total Variation Flow ⋮ An effective finite element Newton method for 2D \(p\)-Laplace equation with particular initial iterative function ⋮ Adaptive FE-BE coupling for strongly nonlinear transmission problems with Coulomb friction ⋮ Multigoal-oriented optimal control problems with nonlinear PDE constraints ⋮ The Discrete Raviart-Thomas Mixed Finite Element Method for the $P$-Laplace Equation ⋮ Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic \(p\)-Laplacian ⋮ Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems ⋮ Nonconforming FEMs for the $p$-Laplace Problem ⋮ Higher order FEM for the obstacle problem of the \(p\)-Laplacian -- a variational inequality approach ⋮ A \(hk\) mortar spectral element method for the \(p\)-Laplacian equation ⋮ The adaptive finite element method for the \(p\)-Laplace problem ⋮ A nonlinear relaxation formulation of the \(p\)-curl problem modelling high-temperature superconductors: a modified Yee's scheme ⋮ Higher order mixed FEM for the obstacle problem of the \(p\)-Laplace equation using biorthogonal systems ⋮ Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems

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