An immersed weak Galerkin method for elliptic interface problems

@article{Mu2019AnIW,
  title={An immersed weak Galerkin method for elliptic interface problems},
  author={Lin Mu and Xu Zhang},
  journal={J. Comput. Appl. Math.},
  year={2019},
  volume={362},
  pages={471-483}
}
  • Lin Mu, Xu Zhang
  • Published 31 January 2018
  • Mathematics, Computer Science
  • J. Comput. Appl. Math.
Abstract In this paper, we present an immersed weak Galerkin method for solving second-order elliptic interface problems. The proposed method does not require solution meshes to be aligned with the interface. Consequently, uniform Cartesian meshes can be used for nontrivial interfacial geometry. We show the existence and uniqueness of the numerical algorithm, and provide the error analysis in the energy norm. Numerical results are reported to demonstrate the performance of the method. 

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