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math.NA2025
Elliptic interface problem approximated by CutFEM: I. Conservative flux recovery and numerical validation of adaptive mesh refinement
Daniela Capatina, Aimene Gouasmi, Cuiyu He
We study an elliptic interface problem with discontinuous diffusion coefficients on unfitted meshes using the CutFEM method. Our main contribution is the reconstruction of conserva…
math.NA2025
Elliptic Interface Problem approximated by CutFEM: II. A posteriori error analysis based on equilibrated fluxes
Daniela Capatina, Aimene Gouasmi
This paper investigates an elliptic interface problem with discontinuous diffusion coefficients on unfitted meshes, employing the CutFEM method. The main contribution is the a post…