A boundary-operator formulation with least-squares reconstruction enables compact, well-conditioned ghost-point discretizations that preserve high-order accuracy for unfitted-domain PDEs.
A multigrid ghost-point level-set method for incompressible navier-stokes equations on moving domains with curved boundaries.Journal of computational physics, 418: 109623
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Efficient and well-conditioned ghost-point discretization of boundary operators on unfitted domains
A boundary-operator formulation with least-squares reconstruction enables compact, well-conditioned ghost-point discretizations that preserve high-order accuracy for unfitted-domain PDEs.