期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 251, 期 -, 页码 615-625出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2014.11.072
关键词
Non-traditional finite element method; Elasticity equation; Triple junction points; Sharp-edged interface; Jump condition; Matrix coefficient
资金
- Science Foundation of China University of Petroleum Beijing [YJRC-2013048]
- Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
- NSF [DMS-1317994]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1317994] Funding Source: National Science Foundation
Solving elasticity equations with interfaces on multiple domains has wide applications in engineering and science. Corner singularities make it difficult for most existing solvers to deal with a triple junction in the case of nonelastic problems. Therefore constructing an efficient and accurate solver for an elasticity problem with multiple domains is a challenge. In this paper, an efficient non-traditional finite element method with non-body-fitted grids is proposed to solve elliptical elasticity equations with multi-domains and triple junction points. Numerical experiments show that this method is approximately second order accurate in the L-infinity norm for piecewise smooth solutions. (C) 2014 Elsevier Inc. All rights reserved.
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