An optimally convergent adaptive mixed finite element method
โ Scribed by Roland Becker; Shipeng Mao
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 338 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0029-599X
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๐ SIMILAR VOLUMES
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
A singularly perturbed convectionยฑdiusion problem is considered. The problem is discretised using an upwinded ยฎnite element method on layer-adapted meshes. We establish convergence of almost ยฎrst-order in a weighted energy norm, no matter how small the perturbation parameter. As a corollary we deriv