Engineering applications frequently require the numerical solution of elliptic boundary value problems in irregularly shaped domains. For smooth problems, spectral element methods have proved very successful, since they can accommodate fairly complicated geometries while retaining a rapid rate of co
Preconditioners for spectral element methods for elliptic and parabolic problems
β Scribed by P. Dutt; P. Biswas; G. Naga Raju
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 187 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
In this paper we propose preconditioners for spectral element methods for elliptic and parabolic problems. These preconditioners are constructed using separation of variables and are easy to invert. Moreover they are spectrally equivalent to the quadratic forms which they are used to approximate.
π SIMILAR VOLUMES
## Abstract In this article a standard mortar finite element method and a mortar element method with Lagrange multiplier are used for spatial discretization of a class of parabolic initialβboundary value problems. Optimal error estimates in __L__^__β__^(__L__^2^) and __L__^__β__^(__H__^1^)βnorms fo