Boundary-hybrid finite elements and a posteriori error estimation

DOI10.1016/S0045-7825(97)00070-4zbMath0936.65133MaRDI QIDQ1299309

Patrick J. Rabier, Joseph M. L. Maubach

Publication date: 23 September 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

finite element methodsLaplace equationa posteriori error estimationNeumann problemsboundary-hybrid methodsymmetric and positive definite elliptic equations

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)

Related Items (1)

Error estimates and adaptive finite element methods

Cites Work

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• A unified approach to a posteriori error estimation using element residual methods
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• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• The $h-p$ version of the finite element method with quasiuniform meshes
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
• Peaceman—Rachford procedure and domain decomposition for finite element problems

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