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EnglishIn 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]
| Autori: | |
| Titolo: | A Wasserstein approach to the numerical solution of the one-dimensional Cahn-Hilliard equation |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.3934/krm.2010.3.123 |
| Data di pubblicazione: | 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. |
| Lingua: | Inglese |
| Rivista: | |
| Citazione: | 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] |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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