Corpus ID: 236772028

Immersed Virtual Element Methods for Elliptic Interface Problems

  title={Immersed Virtual Element Methods for Elliptic Interface Problems},
  author={Shuhao Cao and Long Chen and Ruchi Guo and Frank Lin},
  • Shuhao Cao, Long Chen, +1 author Frank Lin
  • Published 2021
  • Computer Science, Mathematics
  • ArXiv
This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages of both body-fitted mesh methods and unfitted mesh methods. A background body-fitted mesh is generated initially. On those interface elements, virtual element spaces are constructed as solution spaces to local interface problems, and exact sequences can be established for these new spaces involving discontinuous coefficients. The discontinuous coefficients of interface… Expand

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