Hierarchical finite element bases for triangular and tetrahedral elements
โ Scribed by S. Adjerid; M. Aiffa; J.E. Flaherty
- Book ID
- 104266690
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 478 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
We describe a hierarchical basis for the p-version of the ยฎnite element method in two and three dimensions. The corresponding stiffness matrices are shown to have good sparsity properties and better conditioning than those generated from existing hierarchical bases.
๐ SIMILAR VOLUMES
A least-squares approach is presented for implementing uniform strain triangular and tetrahedral รฟnite elements. The basis for the method is a weighted least-squares formulation in which a linear displacement รฟeld is รฟt to an element's nodal displacements. By including a greater number of nodes on t
In this note we examine several regularity criteria for families of simplicial finite element partitions in R d , d โ {2, 3}. These are usually required in numerical analysis and computer implementations. We prove the equivalence of four different definitions of regularity often proposed in the lite