An adaptive \(hp\)-refinement strategy with computable guaranteed bound on the error reduction factor

DOI10.1016/j.camwa.2018.05.034zbMath1427.65356arXiv1712.09821OpenAlexW2780989679MaRDI QIDQ2338342

Patrik Daniel, Iain Smears, Martin Vohralík, Alexandre Ern

Publication date: 21 November 2019

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

Full work available at URL: https://arxiv.org/abs/1712.09821

zbMATH Keywords

finite element methoda posteriori error estimateerror reduction\(hp\)-refinementequilibrated fluxresidual lifting

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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