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

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.