An efficient, reliable and robust error estimator for elliptic problems in \(\mathbb R^3\)

DOI10.1016/j.apnum.2011.01.002zbMath1230.65119OpenAlexW2061116260MaRDI QIDQ631929

Ryan Szypowski, Jeffrey S. Ovall, Michael Holst

Publication date: 14 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.01.002

zbMATH Keywords

numerical resultsNeumann boundary value problema posteriori error estimatorfinite elements methodsecond order elliptic problem

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 (7)

Numerical approximation of multi-phase Penrose-Fife systems ⋮ A posteriori estimates using auxiliary subspace techniques ⋮ An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods ⋮ A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential ⋮ Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations ⋮ The saturation assumption yields optimal convergence of two-level adaptive BEM ⋮ Parallel Adaptive Finite Element Algorithms for Solving the Coupled Electro-diffusion Equations

Uses Software

• SG

Cites Work

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