A method is presented for the fast and accurate solution of elliptic boundary value problems on domains with corners. The method is based on integral equations and Nystr om discretization. Close to corners two representations for the solution coexist-a pointwise representation and a representation i
Nitsche type mortaring for elliptic problems with corner singularities
β Scribed by B. Heinrich
- Publisher
- John Wiley and Sons
- Year
- 2002
- Weight
- 110 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1617-7061
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β¦ Synopsis
Nitsche type mortaring for elliptic problems with corner singularities
The paper deals with Nitsche type mortaring as a finite element method (FEM) for treating non-matching meshes of triangles at the interface of some domain decomposition. The approach is applied to the Poisson equation with Dirichlet conditions for the case that the interface passes re-entrant corners of the domain and local mesh refinement is applied. Some properties of the finite element scheme and error estimates in a discrete H 1 -like and in the L 2 -norm are proved.
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