Stabilization Techniques for Domain Decomposition Methods with Non-matching Grids

Overlapping Domain Decomposition with Non - Matching Grids

A Lions Domain Decomposition Algorithm for Radiation Diffusion Equations on Non-matching Grids

We develop a Lions domain decomposition algorithm based on a cell functional minimization scheme on non-matching multi-block grids for nonlinear radiation diffusion equations, which are described by the coupled radiation diffusion equations of electron, ion and photon temperatures. The L orthogonal projection is applied in the Robin transmission condition of non-matching surfaces. Numerical res...

Non-Conforming Finite Element Methods for Nonmatching Grids in Three Dimensions

In the last decade, non-conforming domain decomposition methods such as the mortar finite element method have been shown to be reliable techniques for several engineering applications that often employ complex finite element design. With this technique, one can conveniently assemble local subcomponents into a global domain without matching the finite element nodes of each subcomponent at the co...

Domain decomposition with non-matching grids for coupling of FEM and natural BEM

In this paper, we introduce a domain decomposition method with non-matching grids for solving Dirichlet exterior boundary problems by coupling of finite element method (FEM) and natural boundary element method(BEM). We first derive the optimal energy error estimate of the nonconforming approximation generated by this method. Then we apply a Dirichlet-Neumann(D-N) alternating algorithm to solve ...

Finite Volume Methods on Non-Matching Grids with Arbitrary Interface Conditions and Highly Heterogeneous Media

We are interested in a robust and accurate domain decomposition method with arbitrary interface conditions on non-matching grids using a finite volume discretization. We introduce transmission operators to take into account the non-matching grids. Under compatibility assumptions, we have the well-posedness of the global problem and of the local subproblems with a new discretization of the arbit...