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Nitsche type mortaring for singularly perturbed reaction-diffusion problems
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DOI：10.1007/s00607-005-0123-5.png)
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Abstract
En 中文
The paper is concerned with the Nitsche mortaring in the framework of domain decomposition where non-matching meshes and weak continuity of the finite element approximation at the interface are admitted. The approach is applied to singularly perturbed reaction-diffusion problems in 2D. Non-matching meshes of triangles being anisotropic in the boundary layers are applied. Some properties as well as error estimates of the Nitsche mortar finite element schemes are proved. In particular, using a suitable degree of anisotropy of triangles in the boundary layers of a rectangle, convergence rates as known for the conforming finite element method are derived. Numerical examples illustrate the approach and the results.
Keywords:
finite element method
non-matching meshes
mortar finite elements
boundary layers
domain decomposition