Adaptive Finite Elements for Semilinear Reaction-Diffusion Systems on Growing Domains

C. Venkataraman (), O. Lakkis () and A. Madzvamuse ()
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C. Venkataraman: University of Warwick, Mathematics Institute, Zeeman Building
O. Lakkis: University of Sussex, Department of Mathematics
A. Madzvamuse: University of Sussex, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 71-80 from Springer

Abstract: 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.

Keywords: Semilinear Reaction-diffusion System; Posteriori Error Estimators; Adaptive Finite Element Methods; Schnakenberg Kinetics; Local Error Indicators (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_8

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DOI: 10.1007/978-3-642-33134-3_8

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