Počet záznamů: 1

Higher-order discrete maximum principle for 1D diffusion-reaction problems

SYSNO ASEP	0352122
Druh ASEP	J - Článek v odborném periodiku
Zařazení RIV	J - Článek v odborném periodiku
Poddruh J	Článek ve WOS
Název	Higher-order discrete maximum principle for 1D diffusion-reaction problems
Tvůrce(i)	Vejchodský, Tomáš (MU-W)_{RID, SAI, ORCID}
Zdroj.dok.	Applied Numerical Mathematics. - : Elsevier - ISSN 0168-9274 Roč. 60, č. 4 (2010), s. 486-500
Poč.str.	15 s.
Akce	Conference in Numerical Analysis (NumAn 2008)
Datum konání	01.09.2008-05.09.2008
Místo konání	Kalamata
Země	GR - Řecko
Typ akce	WRD
Jazyk dok.	eng - angličtina
Země vyd.	NL - Nizozemsko
Klíč. slova	discrete maximum principle ; discrete Green's function ; diffusion-reaction problem ; higher-order finite element method ; hp-FEM ; M-matrix
Vědní obor RIV	BA - Obecná matematika
CEP	IAA100760702 GA AV ČR - Akademie věd
	IAA100190803 GA AV ČR - Akademie věd
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000277031000015
EID SCOPUS	77949918735
DOI	10.1016/j.apnum.2009.10.009
Anotace	Sufficient conditions for the validity of the discrete maximum principle (DMP) for a 1D diffusion-reaction problem -u '' + kappa(2)u = f with homogeneous Dirichlet boundary conditions discretized by the higher-order finite element method are presented. It is proved that the DMP is satisfied if the lengths h of all elements are shorter then one-third of the length of the entire domain and if kappa(2)h(2) is small enough for all elements. In general, the bounds for kappa(2)h(2) depend on the polynomial degree of the elements, on h, and on the size of the domain. The obtained conditions are simple and easy to verify. A technical assumption (nonnegativity of certain rational functions) was verified by computer for polynomial degrees up to 10. The paper contains an analysis of the discrete Green's function which can be of independent interest.
Pracoviště	Matematický ústav
Kontakt	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Rok sběru	2011

Počet záznamů: 1