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Pointwise superconvergence of recovered gradients for piecewise linear finite element approximations to problems of planar linear elasticity

โœ Scribed by G. Goodsell; J. R. Whiteman

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
536 KB
Volume
6
Category
Article
ISSN
0749-159X

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๐Ÿ“œ SIMILAR VOLUMES

A unified treatment of superconvergent r
A unified treatment of superconvergent recovered gradient functions for piecewise linear finite element approximations
โœ G. Goodsell; J. R. Whiteman ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 523 KB

Piecewise linear finite element approximations to two-dimensional Poisson problems are treated. For simplicity, consideration is restricted to problems having Dirichlet boundary conditions and defined on rectangular domains R which are partitioned by a uniform triangular mesh. It is also required th

Superconvergent recovery of gradients of
Superconvergent recovery of gradients of piecewise linear finite element approximations on non-uniform mesh partitions
โœ Yongping Chen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 518 KB

We propose the use of an averaging scheme, which recovers gradients from piecewise linear finite element approximations on the (1 + ฮฑ)-regular triangular elements to gradients of the weak solution of a secondorder elliptic boundary value problem in the 2-dimensional space. The recovered gradients, f