期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 334, 期 -, 页码 327-348出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.01.004
关键词
Elliptic interface problem; Interface-fitted mesh; Delaunay triangulation; Semi-structured; Virtual element method
资金
- National Science Foundation (NSF) [DMS-1418934]
- Sea Poly Project of Beijing Overseas Talents
- NSFC, i.e., National Natural Science Foundation of China [11301449, 91430213]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1418934] Funding Source: National Science Foundation
A simple and efficient interface-fitted mesh generation algorithm which can produce a semi-structured interface-fitted mesh in two and three dimensions quickly is developed in this paper. Elements in such interface-fitted meshes are not restricted to simplices but can be polygons or polyhedra. Especially in 3D, the polyhedra instead of tetrahedra can avoid slivers. Virtual element methods are applied to solve elliptic interface problems with solutions and flux jump conditions. Algebraic multigrid solvers are used to solve the resulting linear algebraic system. Numerical results are presented to illustrate the effectiveness of our method. (C) 2017 Elsevier Inc. All rights reserved.
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