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
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Partition of unity for localization in implicit a posteriori finite element error control for linear elasticity
β Scribed by Carsten Carstensen; Jan Thiele
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 318 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2056
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This paper contains a first systematic analysis of a posteriori estimation for finite element solutions of the Helmholtz equation. In this first part, it is shown that the standard a posteriori estimates, based only on local computations, severely underestimate the exact error for the classes of wav