A numerical method for solving elasticity equations with interface involving multi-domains and triple junction points

Liqun Wang, Songming Hou, Liwei Shi and James Solow

Applied Mathematics and Computation, 2015, vol. 251, issue C, 615-625

Abstract: 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∞ norm for piecewise smooth solutions.

Keywords: Non-traditional finite element method; Elasticity equation; Triple junction points; Sharp-edged interface; Jump condition; Matrix coefficient (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:615-625

DOI: 10.1016/j.amc.2014.11.072

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