Nitsche Type Mortaring for some Elliptic Problem with Corner Singularities |
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Authors: | B Heinrich K Pietsch |
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Affiliation: | Technische Universit?t Chemnitz Fakult?t für Mathematik D-09107 Chemnitz, Germany e-mail: [b.heinrich,k.pietsch]@mathematik.tu-chemnitz.de, DE
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Abstract: | 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 boundary conditions
(as a model problem) under the aspect that the interface passes re-entrant corners of the domain. For such problems and non-matching
meshes with and without local refinement near the re-entrant corner, some properties of the finite element scheme and error
estimates are proved. They show that appropriate mesh grading yields convergence rates as known for the classical FEM in presence
of regular solutions. Finally, a numerical example illustrates the approach and the theoretical results.
Received July 5, 2001; revised February 5, 2002 Published online April 25, 2002 |
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Keywords: | AMS Subject Classifications: 65N30 65N55 |
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