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A finite element method for domain decomposition with non-matching grids

Roland BeckerPeter HansboRolf Stenberg — 2003

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson’s equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.

A finite element method for domain decomposition with non-matching grids

Roland BeckerPeter HansboRolf Stenberg — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson's equation as a model. and error estimates are given. Some numerical results are included.

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