Fully discrete hp-finite elements: fast quadrature
โ Scribed by J.M. Melenk; K. Gerdes; C. Schwab
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 377 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
A fully discrete hp-ยฎnite element method (FEM) is presented. It combines the features of the standard hp-FEM (conforming Galerkin formulation, variable order quadrature schemes, geometric meshes, static condensation) and of the spectral element method (special shape functions and spectral quadrature techniques). The speed-up (relative to standard hp elements) is analyzed in detail both theoretically and computationally.
๐ SIMILAR VOLUMES
In this paper we discuss the Discrete Compactness Property (DCP) which is a well-known tool for the analysis of finite element approximations of Maxwell's eigenvalues. We restrict our presentation to Maxwell's eigenvalues, but the theory applies to more general situations and in particular to mixed