27 citations · 56 across the 16 of their papers we have counts for
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math.NA2015
A finite element method for high-contrast interface problems with error estimates independent of contrast
Johnny Guzman, Manuel A. Sanchez, Marcus Sarkis
We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove op…
math.NA2015
Higher-order finite element methods for elliptic problems with interfaces
Johnny Guzman, Manuel A. Sanchez, Marcus Sarkis
We present higher-order piecewise continuous finite element methods for solving a class of interface problems in two dimensions. The method is based on correction terms added to th…