In this work we introduce a new numerical approach for solving Cahn-Hilliard equation with Neumann boundary conditions involving recent mass transportation methods. The numerical scheme is based on an alternative formulation of the problem using the so called pseudo-inverse of the cumulative distribution function. We establish a stable fully discrete scheme that inherits the energy dissipation and mass conservation from the associated continuous problem. We perform some numerical experiments which confirm our results.

Naldi, G., Cavalli, F., A Wasserstein approach to the numerical solution of the one-dimensional Cahn-Hilliard equation, <<KINETIC AND RELATED MODELS>>, 2010; 3 (1): 123-142. [doi:10.3934/krm.2010.3.123] [http://hdl.handle.net/10807/85483]

A Wasserstein approach to the numerical solution of the one-dimensional Cahn-Hilliard equation

Cavalli, Fausto
Ultimo
2010

Abstract

In this work we introduce a new numerical approach for solving Cahn-Hilliard equation with Neumann boundary conditions involving recent mass transportation methods. The numerical scheme is based on an alternative formulation of the problem using the so called pseudo-inverse of the cumulative distribution function. We establish a stable fully discrete scheme that inherits the energy dissipation and mass conservation from the associated continuous problem. We perform some numerical experiments which confirm our results.
Inglese
Naldi, G., Cavalli, F., A Wasserstein approach to the numerical solution of the one-dimensional Cahn-Hilliard equation, <<KINETIC AND RELATED MODELS>>, 2010; 3 (1): 123-142. [doi:10.3934/krm.2010.3.123] [http://hdl.handle.net/10807/85483]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/85483
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