A boundary-operator formulation with least-squares reconstruction enables compact, well-conditioned ghost-point discretizations that preserve high-order accuracy for unfitted-domain PDEs.
High-order finite-difference ghost-point methods for el- liptic problems in domains with curved boundaries.Open Mathematics, 22(1):20240072
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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.