This paper addresses the computation of guaranteed upper and lower bounds for the energy norm of the exact error in the ΓΏnite element solution. These bounds are constructed in terms of the solutions of local residual problems with equilibrated residual loads and are rather sharp, even for coarse mes
Computable finite element error bounds for Poisson's equation
β Scribed by R. R. Barnhill; J. H. Brown; N. McQueen; A. R. Mitchell
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 237 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0029-5981
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π SIMILAR VOLUMES
In this paper we produce tight guaranteed bounds for the error in the pointwise values of the derivatives of a post-processed ΓΏnite element solution to a potential ow problem, in which the boundary condition is purely normal velocity. Our approach has to be modiΓΏed for the problems with Dirichlet bo
A Neumann subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, constant-free upper and lower bounds for non-linear outputs of the Helmholtz equation in two-dimensional exterior domains is presented. The bound procedure is firstly formulated, with p