Artículo
From a cell model with active motion to a Hele–Shaw-like system: a numerical approach
Autor/es | Guillén González, Francisco Manuel
Gutiérrez Santacreu, Juan Vicente |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2019 |
Fecha de depósito | 2019-10-18 |
Publicado en |
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Resumen | In this paper we deal with the numerical solution of a Hele{Shaw-like system via a
cell model with active motion. Convergence of approximations is established for well-posed initial
data. These data are chosen in such a ... In this paper we deal with the numerical solution of a Hele{Shaw-like system via a cell model with active motion. Convergence of approximations is established for well-posed initial data. These data are chosen in such a way the time derivate is positive at the initial time. The numerical method is constructed by means of a nite element procedure together with the use of a closed-nodal integration. This gives rise to an algorithm which preserves positivity whenever a right-angled triangulation is considered. As a result, uniform-in-time a priori estimates are proven which allows us to pass to limit towards a solution to the Hele{Shaw problem. |
Identificador del proyecto | MTM2015-69875-P |
Cita | Guillén González, F.M. y Gutiérrez Santacreu, J.V. (2019). From a cell model with active motion to a Hele–Shaw-like system: a numerical approach. Numerische Mathematik, 143 (1), 107-137. |
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