Complementarity based a posteriori error estimates and their properties

DOI10.1016/j.matcom.2011.06.001zbMath1256.65097OpenAlexW1969230273MaRDI QIDQ1761655

Tomáv s Vejchodský

Publication date: 15 November 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2011.06.001

zbMATH Keywords

numerical examplesa posteriori error estimatescomplementary energydiffusion-reaction modeldual finite elementsmethod of hypercircles

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 (12)

Computational Lower Bounds of the Maxwell Eigenvalues ⋮ An accurate a posteriori error estimator for the Steklov eigenvalue problem and its applications ⋮ Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues ⋮ An asymptotically exact a posteriori error estimator for non-selfadjoint Steklov eigenvalue problem ⋮ Computable Error Estimates for a Nonsymmetric Eigenvalue Problem ⋮ Complementary error bounds for elliptic systems and applications ⋮ A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem ⋮ An accurate a posteriori error estimator for semilinear Neumann problem and its applications ⋮ Cascadic adaptive finite element method for nonlinear eigenvalue problem based on complementary approach ⋮ Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problems ⋮ Computable error estimates for ground state solution of Bose-Einstein condensates ⋮ Interplay between discretization and algebraic computation in adaptive numerical solutionof elliptic PDE problems

Cites Work

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• The generalized finite element method

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