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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 MadzvamuseAnotida MadzvamuseWe 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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- Published
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- Submitted version
Journal
Numerical Mathematics and Advanced Applications 2011Publisher
SpringerPage range
71-82Book title
Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011Place of publication
BerlinISBN
9783642331336Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Editors
et al, Andrea CangianiLegacy Posted Date
2013-02-05Usage metrics
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