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math.NA2025
A high order multigrid-preconditioned immersed interface solver for the Poisson equation with boundary and interface conditions
James Gabbard, Andrea Paris, Wim M. van Rees
This work presents a multigrid preconditioned high order immersed finite difference solver to accurately and efficiently solve the Poisson equation on complex 2D and 3D domains. Th…
math.NA2023★ 2 cited
Lattice Green's Functions for High Order Finite Difference Stencils
James Gabbard, Wim M. van Rees
Lattice Green's Functions (LGFs) are fundamental solutions to discretized linear operators, and as such they are a useful tool for solving discretized elliptic PDEs on domains that…