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

A Finite Element Method for Domain Decomposition with Non-matching Grids

Abstract. In this note, we propose and analyse a method for handling interfaces between nonmatching 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.

Overlapping Domain Decomposition with Non - Matching Grids

Stabilization Techniques for Domain Decomposition Methods with Non-matching Grids

Non-overlapping Domain Decomposition Method and Nodal Finite Element Method

The non-overlapping domain decomposition method is an efficient approach for solving time harmonic scattering wave problems. It is used here to reduce large size systems solution to that of several systems of small size and to construct efficient procedures to couple finite element and boundary element methods. The lack of a satisfactory treatment of the so-called cross-points, nodes being shar...

A Non-mortar Mixed Finite Element Method for Elliptic Problems on Non-matching Multiblock Grids 1

We consider the approximation of second order elliptic equations on domains that can be described as a union of sub-domains or blocks. We assume that a grid is deened on each block independently, so that the resulting grid over the entire domain need not be conforming (i.e., match) across the block boundaries. Several techniques have been developed to approximate elliptic equations on multibloc...