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Weak Galerkin finite element method for linear elasticity interface problems

Author

Listed:
  • Peng, Hui
  • Wang, Ruishu
  • Wang, Xiuli
  • Zou, Yongkui

Abstract

In this paper, we apply a weak Galerkin finite element method to a linear elasticity interface model. Since the solution may become discontinuous while crossing the interface, we first discretize the model by double-valued weak functions on the interface. Then, in order to facilitate theoretical analysis and algorithm implementation, we substitute interface conditions into the weak Galerkin formulation and construct a weak Galerkin method with single-valued functions on the interface. Furthermore, we prove the well-posedness of the weak Galerkin scheme and derive a priori error estimates in energy norm and L2 norm. Finally, we present some numerical experiments to demonstrate the efficiency and the locking-free property of our method.

Suggested Citation

  • Peng, Hui & Wang, Ruishu & Wang, Xiuli & Zou, Yongkui, 2023. "Weak Galerkin finite element method for linear elasticity interface problems," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    • Handle: RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322006622
    DOI: 10.1016/j.amc.2022.127589
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