An equilibration-based cut-point discretization allows ordinary planar Cartesian grid finite differences to solve PDEs on closed level-set surfaces with observed second-order accuracy.
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Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids
An equilibration-based cut-point discretization allows ordinary planar Cartesian grid finite differences to solve PDEs on closed level-set surfaces with observed second-order accuracy.