BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Finite Elements Methods on Non-Aligned Meshes for Interface Problems Sarkis, Marcus


We define two finite element methods for elliptic problems with possibly discontinuous diffusion coefficients and divergence constraints where the meshes are not aligned with the interface. The first method is based on Immersed Interface Methods while the second one on Nitsche's methods. In order to obtain apriori error estimates totally independent of the contrast between diffusion coefficients and independent on how the interface crosses the mesh, we consider stabilizations based on the jump of the flux as well as the jump of solution across elements.

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