Removing the saturation assumption in bank-Weiser error estimator analysis in dimension three

DOI10.1016/j.aml.2020.106429OpenAlexW3007089634WikidataQ114683026 ScholiaQ114683026MaRDI QIDQ2186742

Raphaël Bulle, Franz Chouly, Alexei Lozinski, Jack S. Hale

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106429

zbMATH Keywords

finite element methodsa posteriori error estimationsaturation assumptionBank-Weiser estimatorresidual estimator

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) 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 (2)

Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS project ⋮ An a posteriori error estimator for the spectral fractional power of the Laplacian

Uses Software

• FEniCS

Cites Work

• On the asymptotic exactness of Bank-Weiser's estimator
• A posteriori error estimation and adaptive mesh-refinement techniques
• Small data oscillation implies the saturation assumption
• Local refinement of simplicial grids based on the skeleton
• Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
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