On \(p\)-robust saturation for \(hp\)-AFEM

DOI10.1016/j.camwa.2017.02.035zbMath1373.65082arXiv1611.04104OpenAlexW2561464542MaRDI QIDQ2403731

Claudio Canuto, Ricardo H. Nochetto, Marco Verani, Rob P. Stevenson

Publication date: 12 September 2017

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

Full work available at URL: https://arxiv.org/abs/1611.04104

zbMATH Keywords

convergenceadaptivityPoisson problemrefinementerror reduction\(hp\)-adaptive finite element method (AFEM)

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

A frequency-dependent \(p\)-adaptive technique for spectral methods, Tree Approximation for hp-Adaptivity, On \(p\)-robust saturation on quadrangulations, Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria, Adaptive \(hp\)-FEM for eigenvalue computations, Oscillation in a posteriori error estimation, An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case, A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square, High-Order Adaptive Galerkin Methods, An adaptive \(hp\)-refinement strategy with computable guaranteed bound on the error reduction factor

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