A posteriori error estimates with the finite element method of lines for a Sobolev equation
β Scribed by Thanh Tran; Thanh-Binh Duong
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 119 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
In part I of this investigation, we proved that the standard a posteriori estimates, based only on local computations, may severely underestimate the exact error for the classes of wave-numbers and the types of meshes employed in engineering analyses. We showed that this is due to the fact that the
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
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