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Nitsche type mortaring for some elliptic problem with corner singularities. (English) Zbl 1002.65124

The Nitsche type mortaring is analysed on quite general triangulations. For meshes with and without grading, basic inequalities, stability and boundedness of the linear forms as well as error estimates are proved. For an appropriate choice of some mesh grading parameter, the rate of convergence is proved to be the same as for regular solutions on quasi-uniform meshes.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
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