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

C Venkataraman; Omar Lakkis; A Madzvamuse

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

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

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

C Venkataraman, Omar Lakkis and A Madzvamuse

Numerical Mathematics and Advanced Applications 2011, pp.71-80

ENUMATH Numerical Mathematics and Advanced Applications 2011 (Leicester, 05/09/2011 - 09/09/2011)

2013

DOI: https://doi.org/10.1007/978-3-642-33134-3_8

Handle:

https://hdl.handle.net/10863/32841

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.

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Details

Title: Adaptive Finite Elements for Semilinear Reaction-Diffusion Systems on Growing Domains
Creators: C Venkataraman - University of Warwick
Omar Lakkis - University of Sussex
A Madzvamuse - University of Sussex
Publication Details: Numerical Mathematics and Advanced Applications 2011, pp.71-80
Editor(s): Cangiani A, Davidchack RL, Georgoulis E, Gorban AN, Levesley J, Tretyakov MV
ISBN: 9783642331336
EISBN: 9783642331343
Conference: ENUMATH Numerical Mathematics and Advanced Applications 2011 (Leicester, 05/09/2011 - 09/09/2011)
Publisher: Springer Berlin Heidelberg
Number of pages: 10
Identifiers: (UNIBZ)23519131
991006492893601241
Scopus ID: n.a.
Academic Unit: Faculty of Computer Science
Language: English
Resource Type: Conference proceeding
Author Names String: Venkataraman C, Lakkis O, Madzvamuse A
Additional Description: Editors/Supervisors: Cangiani A, Davidchack RL, Georgoulis E, Gorban AN, Levesley J, Tretyakov MV

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