In this paper the superconvergence of the Carey non-conforming element is considered. A superconvergence estimate on the centres of elements and some superconvergent recoveries on the three vertices and the three midpoints of edges of elements are also obtained for piecewise strongly regular triangu
Conforming spectral approximations for non-conforming domain decompositions
โ Scribed by A. Karageorghis; S. Sivaloganathan
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 684 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
A spectral domain decomposmon scheme is introduced for the numerical solution of second-and fourth-order elliptic problems. The technique is applicable to certain domain decompositions of rectangular or rectangularly decomposable domains. It is shown that it yields approximations which are pointwise C" continuous across the subdomain interfaces for second order problems and pointwise C' continuous across the subdomain interfaces for fourth-order problems.
๐ SIMILAR VOLUMES
method Explicit time integration Non-conforming meshes a b s t r a c t In this paper, we discuss the formulation, stability and validation of a high-order nondissipative discontinuous Galerkin (DG) method for solving Maxwell's equations on nonconforming simplex meshes. The proposed method combines
In this paper the Carey non-conforming ยฎnite element is considered for solving eigenvalue problems of the second-order elliptic operator. Based on an interpolation postprocessing, high-accuracy estimates of both eigenfunctions and eigenvalues are obtained: Here, P 2 2h is an interpolation operator,