Article ID Journal Published Year Pages File Type
4627030 Applied Mathematics and Computation 2015 11 Pages PDF
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.
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Physical Sciences and Engineering Mathematics Applied Mathematics
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