A finite element discretization for two-dimensional MHD is described. The elements are triangles with piecewise linear basis functions. The main computational difficulty is the accurate calculation of the current. The most effective solution is to employ a current-vorticity advection formulation of
An adaptive finite element method for second-order plate theory
โ Scribed by Peter Hansbo; David Heintz; Mats G. Larson
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 592 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2704
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โฆ Synopsis
Abstract
We present a discontinuous finite element method for the Kirchhoff plate model with membrane stresses. The method is based on P~2~โapproximations on simplices for the outโofโplane deformations, using C^0^โcontinuous approximations. We derive a posteriori error estimates for linear functionals of the error and give some numerical examples. Copyright ยฉ 2009 John Wiley & Sons, Ltd.
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