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 finite-difference ghost-point multigrid method for multi-scale modelling of sorption kinetics of a surfactant past an oscillating bubble
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Presents an asymptotic-preserving finite-difference scheme for the two-species multiscale Poisson-Nernst-Planck system with surface traps derived from asymptotic analysis.
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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.
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Asymptotic Preserving and Accurate scheme for Multiscale Poisson-Nernst-Planck (MPNP) system
Presents an asymptotic-preserving finite-difference scheme for the two-species multiscale Poisson-Nernst-Planck system with surface traps derived from asymptotic analysis.