We propose a technique to treat degenerate elliptic equations, focusing on the model problem of the stationary Mean Curvature Motion equation in two space dimensions. This technique may be interpreted as a stationary, fully discrete version of the schemes proposed in slightly different forms by Catte ́ et al. and by Kohn and Serfaty. We study consistency and monotonicity of the scheme and a correct implementation of Dirichlet boundary conditions. Numerical tests are also presented.

Carlini, E., Ferretti, R. (2008). A Semi-Lagrangian approximation of min-max type for the stationary Mean Curvature equation. In Numerical Mathematics and Advanced Applications - ENUMATH 2007 (pp.679-686).

A Semi-Lagrangian approximation of min-max type for the stationary Mean Curvature equation

FERRETTI, Roberto
2008-01-01

Abstract

We propose a technique to treat degenerate elliptic equations, focusing on the model problem of the stationary Mean Curvature Motion equation in two space dimensions. This technique may be interpreted as a stationary, fully discrete version of the schemes proposed in slightly different forms by Catte ́ et al. and by Kohn and Serfaty. We study consistency and monotonicity of the scheme and a correct implementation of Dirichlet boundary conditions. Numerical tests are also presented.
978-3-540-69776-3
Carlini, E., Ferretti, R. (2008). A Semi-Lagrangian approximation of min-max type for the stationary Mean Curvature equation. In Numerical Mathematics and Advanced Applications - ENUMATH 2007 (pp.679-686).
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/179966
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact