Stability estimates for h-p spectral element methods for elliptic problems
โ Scribed by Pravir Dutt; Satyendra Tomar; B. V. Rathish Kumar
- Publisher
- Indian Academy of Sciences
- Year
- 2002
- Tongue
- English
- Weight
- 356 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0253-4142
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
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
## Abstract We treat the finite volume element method (FVE) for solving general second order elliptic problems as a perturbation of the linear finite element method (FEM), and obtain the optimal __H__^1^ error estimate, __H__^1^ superconvergence and __L__^__p__^ (1 < __p__ โค โ) error estimates betw
## Abstract A new finite element method is proposed and analysed for second order elliptic equations using discontinuous piecewise polynomials on a finite element partition consisting of general polygons. The new method is based on a stabilization of the wellโknown primal hybrid formulation by usin