Numerical solution of reaction-diffusion equations

dc.contributor.author	Lamač, Jan
dc.date.accessioned	2017-11-02
dc.date.available	2017-11-02
dc.date.issued	2012
dc.description.abstract	The subject of the presented paper is a mathematical analysis and numerical solution of the sys- tem of nonlinear nonstationary reaction-diffusion equations. Firstly, using the invariant region technique, the proof of both the existence and uniqueness of the solution and problem data con- tinuous dependence is carried out. After time discretization of the problem the Galerkin finite elements method is applied and a priori error estimates of the method are derived. A suitable mesh adaptivity is discussed as well. The method is finally implemented and tested on several examples.	en
dc.format	text	cs
dc.format.extent	9 stran
dc.identifier.eissn	1803-9790
dc.identifier.issn	1803-9782
dc.identifier.other	ACC_2012_4_14
dc.identifier.uri	https://dspace.tul.cz/handle/15240/21146
dc.language.iso	en
dc.license	CC BY-NC 4.0
dc.publisher	Technická univerzita v Liberci, Česká republika	cs
dc.relation.ispartof	ACC Journal	en
dc.relation.isrefereed	true
dc.subject	invariant region	en
dc.subject	reaction	en
dc.subject	diffusion	en
dc.subject	finite elements method	en
dc.subject	adaptivity	en
dc.title	Numerical solution of reaction-diffusion equations	en
dc.type	Article	en
local.access	open
local.citation.epage	128
local.citation.spage	120
local.fulltext	yes	en
local.relation.issue	4
local.relation.volume	18

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