Preconditioning on Element Interfaces for the p -Version Finite Element Method and Spectral Element Method
β Scribed by Cao, Weiming; Guo, Benqi
- Book ID
- 118189611
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1999
- Tongue
- English
- Weight
- 551 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1064-8275
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π SIMILAR VOLUMES
An adaptive solver for large-scale hierarchic finite element systems has been developed. A decision-making methodology aimed at selecting an optimal solution strategy on the basis of estimated conditioning, sparsity and memory requirements for a given problem has been devised. Numerical experiments
The extended finite element method enhances the approximation properties of the finite element space by using additional enrichment functions. But the resulting stiffness matrices can become ill-conditioned. In that case iterative solvers need a large number of iterations to obtain an acceptable sol
We propose and analyze efficient preconditioners for solving systems of equations arising from the p-version for the finite element/boundary element coupling. The first preconditioner amounts to a block Jacobi method, whereas the second one is partly given by diagonal scaling. We use the generalized