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math.NA2025
Multigrid methods for the ghost finite element approximation of elliptic problems
Hridya Dilip, Armando Coco
We present multigrid methods for solving elliptic partial differential equations on arbitrary domains using the nodal ghost finite element method, an unfitted boundary approach whe…
math.NA2024
High order finite-difference ghost-point methods for elliptic problems in domains with curved boundaries
Armando Coco, Giovanni Russo
In this paper a fourth order finite difference ghost point method for the Poisson equation on regular Cartesian mesh is presented. The method can be considered the high order exten…