Guaranteed computable bounds for the exact error in the finite element solution. I: One-dimensional model problem

DOI10.1016/S0045-7825(99)00330-8zbMath0936.65094OpenAlexW1985746135MaRDI QIDQ1818478

S. K. Gangaraj, Ivo M. Babuška, Theofanis Strouboulis

Publication date: 3 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00330-8

zbMATH Keywords

error boundsfinite element solutionelement-residual problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70)

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Cites Work

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• The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
• The post-processing approach in the finite element method—Part 3:A posteriori error estimates and adaptive mesh selection
• Error Estimate Procedure in the Finite Element Method and Applications
• Validation of a posteriori error estimators by numerical approach
• A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals

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