Overlapping Domain Decomposition with Non - Matching Grids

Schwarz Domain Decomposition Preconditioners for Interior Penalty Approximations of Elliptic Problems

We present a two-level non-overlapping additive Schwarz method for Discontinuous Galerkin approximations of elliptic problems. In particular, a two level-method for both symmetric and non-symmetric schemes will be considered and some interesting features, which have no analog in the conforming case, will be discussed. Numerical experiments on non-matching grids will be presented.

UN CO RR EC TE D PR O O F 1 An Overlapping Domain Decomposition Method for a 2 3 D PEMFC Model 3

For better performance, different structures for the anode and cathode gas chan21 nels are used in the PEMFC practical design. This asymmetrical structure can keep 22 the balance of pressures on both sides of the membrane. Thus the water manage23 ment in cathode can be improved and the duration of fuel cell can be prolonged. An 24 unstructured grid partitioned by tetrahedra or triangles can be ...

Domain Decomposition Capabilities for the Mortar Finite Volume Element Methods

Since the introduction of the mortar method as a coupling technique between the spectral and nite element methods see e g it has become the most important technique in domain decomposition methods for non matching grids The active research by the scienti c computation community in this eld is motivated by its exibility and great potential for large scale parallel compu tation see e g A good des...

Stabilization Techniques for Domain Decomposition Methods with Non-matching Grids

The Mortar Element Method for 3D Maxwell’s equations: analysis and application to magnetodynamics

In this paper, we describe the main ideas of the mortar element method combined with H(curl)–conforming finite elements for the numerical approximation of Maxwell’s equations. This method turns out to be a new non–conforming, non–overlapping domain decomposition technique where non–matching grids are allowed at the interface between adjacent sub–domains. We report the results on the method’s co...