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

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posted on 2023-06-08, 14:16 authored by Chandrasekhar VenkataramanChandrasekhar Venkataraman, Omar LakkisOmar Lakkis, Anotida Madzvamuse
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.

History

Publication status

  • Published

File Version

  • Submitted version

Journal

Numerical Mathematics and Advanced Applications 2011

Publisher

Springer

Page range

71-82

Book title

Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011

Place of publication

Berlin

ISBN

9783642331336

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Editors

et al, Andrea Cangiani

Legacy Posted Date

2013-02-05

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