NUMERICAL ANALYSIS OF A POSTERIORI FINITE ELEMENT BOUNDS FOR LINEAR FUNCTIONAL OUTPUTS

DOI10.1142/S0218202500000409zbMath1012.65109OpenAlexW1995917749MaRDI QIDQ4798816

Yvon Maday, Anthony T. Patera

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000409

zbMATH Keywords

finite elementerror bounds

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)

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Cites Work

• A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
• A unified approach to a posteriori error estimation using element residual methods
• A hierarchical duality approach to bounds for the outputs of partial differential equations
• Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
• Error Estimate Procedure in the Finite Element Method and Applications