Saturation estimates for \(hp\)-finite element methods

DOI10.1007/s00791-015-0234-2zbMath1380.65359OpenAlexW2461558873MaRDI QIDQ1684456

Asieh Parsania, Randolph E. Bank, Stefan A. Sauter

Publication date: 8 December 2017

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-015-0234-2

zbMATH Keywords

linear elliptic equationa posteriori error estimate\(hp\) finite elementspolynomial inverse estimatessaturation estimate

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items

Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions, Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria, Dual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problem, Convergence and optimality of \({\mathbf {hp}}\)-\textbf{AFEM}, Two-Side a Posteriori Error Estimates for the Dual-Weighted Residual Method, Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering, High-Order Adaptive Galerkin Methods, An adaptive \(hp\)-refinement strategy with computable guaranteed bound on the error reduction factor

Uses Software

• PLTMG

Cites Work

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