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Stability and error analysis for a diffuse interface approach to an advection–diffusion equation on a moving surface

In this paper we analyze a fully discrete numerical scheme for solving a parabolic PDE on a moving surface. The method is based on a diffuse interface approach that involves a level set description of the moving surface. Under suitable conditions on the spatial grid size, the time step and the inter...

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Detalles Bibliográficos
Autores principales: Deckelnick, Klaus, Styles, Vanessa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6004022/
https://www.ncbi.nlm.nih.gov/pubmed/29973742
http://dx.doi.org/10.1007/s00211-018-0946-6