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

• 영문명: An Overlapping Domain Decomposition Method with a Vertex-based Coarse Space for Raviart--Thomas Vector Fields
• 발행기관: 충청수학회
• 저자명: 오덕순
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 36, No. 1, 55~64쪽, 전체 10쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2023.02.28

영문 초록

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.

목차

1. Introduction

2. The discrete problem

3. Overlapping domain decomposition method

4. Numerical experiments

References

키워드

overlapping domain decomposition $\HDiv$ Raviart--Thomas element