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Venkataraman, C, Lakkis, O and Madzvamuse, A (2013) Adaptive finite elements for semilinear reaction-diffusion systems on growing domains. In: Cangiani, Andrea and et al, (eds.) Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011. Springer, Berlin, pp. 71-82. ISBN 9783642331336
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Abstract
We propose an adaptive finite element method to approximate the solutions to reaction-diffusion systems on time-dependent domains and surfaces. We derive a computable error estimator that provides an upper bound for the error in the semidiscrete (space) scheme. We reconcile our theoretical results with benchmark computations.
Item Type: | Book Section |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Subjects: | Q Science > QA Mathematics |
Depositing User: | Chandrasekhar Venkataraman |
Date Deposited: | 05 Feb 2013 09:56 |
Last Modified: | 05 Feb 2013 09:56 |
URI: | http://srodev.sussex.ac.uk/id/eprint/43539 |
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