A discontinuous-Galerkin-based immersed boundary method

  title={A discontinuous-Galerkin-based immersed boundary method},
  author={Adrian J. Lew and Gustavo C. Buscaglia},
A numerical method to approximate partial differential equations on meshes that do not conform to the domain boundaries is introduced. The proposed method is conceptually simple and free of userdefined parameters. Starting with a conforming finite element mesh, the key ingredient is to switch those elements intersected by the Dirichlet boundary to a discontinuous-Galerkin approximation and impose the Dirichlet boundary conditions strongly. By virtue of relaxing the continuity constraint at… CONTINUE READING
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