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

Author

Listed:
  • Wang, Liqun
  • Hou, Songming
  • Shi, Liwei
  • Solow, James

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.

Suggested Citation

  • Wang, Liqun & Hou, Songming & Shi, Liwei & Solow, James, 2015. "A numerical method for solving elasticity equations with interface involving multi-domains and triple junction points," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 615-625.
    • Handle: RePEc:eee:apmaco:v:251:y:2015:i:c:p:615-625
    DOI: 10.1016/j.amc.2014.11.072
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