most citedAnalysis and discretization of the volume penalized Laplace operator with Neumann boundary conditions

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math.NA2014★ 19 cited

Analysis and discretization of the volume penalized Laplace operator with Neumann boundary conditions

Dmitry Kolomenskiy, Romain Nguyen van yen, Kai Schneider

We study the properties of an approximation of the Laplace operator with Neumann boundary conditions using volume penalization. For the one-dimensional Poisson equation we compute…