A posteriori error estimators for second order elliptic systems. I: Theoretical foundations and a posteriori error analysis

DOI10.1016/0898-1221(93)90227-MzbMath0764.65060OpenAlexW2001413153MaRDI QIDQ1203717

Mark Ainsworth, J. Tinsley Oden

Publication date: 22 February 1993

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

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90227-m

zbMATH Keywords

nonsymmetric operatorsa posteriori error estimationelement residual methodsecond order elliptic systems\(h-p\) finite element approximationweakly coupled problems

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator
• A posteriori error estimators for second order elliptic systems. II: An optimal order process for calculating self-equilibrating fluxes
• A unified approach to a posteriori error estimation using element residual methods
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• The self-equilibration of residuals and complementarya posteriori error estimates in the finite element method
• Equivalent Norms for Sobolev Spaces