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• W2016111251 abstract "A numerical method for mean curvature motion in bounded domains with nonlinear Neumann boundary conditions is proposed and analyzed. It consists of a semi-Lagrangian scheme in the main part of the domain as proposed by Carlini, Falcone and Ferretti, combined with a finite difference scheme in small layers near the boundary to cope with the boundary condition. The consistency of the new scheme is proved for nonstructured triangular meshes in dimension two. The monotonicity of a regularized version of the scheme with some additional vanishing artificial viscosity is studied. Details on the implementation are given. Numerical tests are presented." @default.
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• W2016111251 date "2012-01-01" @default.
• W2016111251 modified "2023-09-25" @default.
• W2016111251 title "A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions" @default.
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• W2016111251 doi "https://doi.org/10.4171/ifb/288" @default.
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