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The approximation theory for thep-version finite element method and application to non-linear elliptic PDEs

โœ 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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The non-linear Laplacian involves the differential equation and โ„ฆ 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

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## Abstract In this paper an implementation of a twoโ€ and threeโ€dimensional __p__โ€version approach to the __J__~2~ flow theory with nonโ€linear isotropic hardening for small displacements and small strains is presented. Based on higherโ€order quadrilateral and hexahedral element formulations, a Newto