Deckelnick, Klaus and Styles, Vanessa (2018) Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. Numerische Mathematik, 139 (3). pp. 709-741. ISSN 0029-599X
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Abstract
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 interface width we obtain stability and error bounds with respect to natural norms. Furthermore, we present test calculations that confirm our analysis.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Research Centres and Groups: | Numerical Analysis and Scientific Computing Research Group |
Subjects: | Q Science > QA Mathematics > QA0297 Numerical analysis |
Depositing User: | Vanessa Styles |
Date Deposited: | 16 Jan 2018 08:11 |
Last Modified: | 02 Jul 2019 15:17 |
URI: | http://sro.sussex.ac.uk/id/eprint/72881 |
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