An Overlapping Domain Decomposition Method with a Vertex-based Coarse Space for Raviart--Thomas Vector Fields

An Overlapping Domain Decomposition Method with a Vertex-based Coarse Space for Raviart--Thomas Vector Fields

In this paper, we propose a two-level overlapping domain decomposition preconditioner for three dimensional vector field problems posed in $\HDiv$. We introduce a new coarse component, which reduces the computational complexity, associated with the coarse vertices. Numerical experiments are also presented.

1. Introduction

2. The discrete problem

3. Overlapping domain decomposition method

4. Numerical experiments

References

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