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Title: Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability (English)
Author: Kůs, Pavel
Language: English
Journal: Application of Mathematics 2015
Volume: Proceedings. Prague, November 18-21, 2015
Issue: 2015
Year:
Pages: 140-147
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Category: math
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Summary: In this contribution, higher-order finite element method is used for the solution of reaction-diffusion equation with Turing instability. Some aspects concerning convergence of the method for this particular problem are discussed. Our numerical tests confirm the convergence of the method, but for some very special choices of parameters, this convergence has very uncommon properties. (English)
Keyword: convergence
Keyword: finite element method
Keyword: Turing instability
Keyword: reaction-diffusion
MSC: 35K57
MSC: 65N30
idZBL: Zbl 06669926
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Date available: 2017-02-14T10:24:42Z
Last updated: 2017-03-20
Stable URL: http://hdl.handle.net/10338.dmlcz/702972
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