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Superconvergence in high-order Galerkin finite element methods

✍ Scribed by Qun Lin; Junming Zhou

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
173 KB
Volume
196
Category
Article
ISSN
0045-7825

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✦ Synopsis

In this paper, we shall use local estimates to give the superconvergence of high-order Galerkin finite element method for the elliptic equation of second order with constant coefficients by using the symmetric technique and integral identity. We get improved superconvergence on the inner locally symmetric mesh with respect to a point x 0 for rectangular and triangular meshes.

πŸ“œ SIMILAR VOLUMES

Superconvergence phenomena in the finite
Superconvergence phenomena in the finite element method
✍ Michal KΕ™Γ­ek πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 515 KB

We give a brief survey of superconvergence phenomena in finding a numerical solution of differential equations by finite elements. Several new results and open problems are introduced.