The non-linear Laplacian involves the differential equation and โฆ is a polygonal domain. The classical error estimates for the h version finite element approximation are generalized to the hp version, when applied to locally quasi-uniform meshes of quadrilateral elements. The estimates are expresse
The approximation theory for thep-version finite element method and application to non-linear elliptic PDEs
โ Scribed by Mark Ainsworth; David Kay
- Book ID
- 105879687
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 254 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0029-599X
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## Abstract In this paper an implementation of a twoโ and threeโdimensional __p__โversion approach to the __J__~2~ flow theory with nonโlinear isotropic hardening for small displacements and small strains is presented. Based on higherโorder quadrilateral and hexahedral element formulations, a Newto