Adaptive finite elements for semilinear reaction-diffusion systems on growing domains

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
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://sro.sussex.ac.uk/id/eprint/43539

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