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K-convergence as a new tool in numerical analysis

SYSNO ASEP	0533370
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	K-convergence as a new tool in numerical analysis
Author(s)	Feireisl, Eduard (MU-W)_{RID, SAI, ORCID} Lukáčová-Medviďová, M. (DE) Mizerová, Hana (MU-W)_{SAI, RID}
Source Title	IMA Journal of Numerical Analysis. - : Oxford University Press - ISSN 0272-4979 Roč. 40, č. 4 (2020), s. 2227-2255
Number of pages	29 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	K-convergence ; numerical analysis
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA18-05974S GA ČR - Czech Science Foundation (CSF)
Method of publishing	Limited access
Institutional support	MU-W - RVO:67985840
UT WOS	000610489200004
EID SCOPUS	85087023422
DOI	10.1093/imanum/drz045
Annotation	We adapt the concept of K-convergence of Young measures to the sequences of approximate solutions resulting from numerical schemes. We obtain new results on pointwise convergence of numerical solutions in the case when solutions of the limit continuous problem possess minimal regularity. We apply the abstract theory to a finite volume method for the isentropic Euler system describing the motion of a compressible inviscid fluid. The result can be seen as a nonlinear version of the fundamental Lax equivalence theorem.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2021
Electronic address	https://doi.org/10.1093/imanum/drz045

Number of the records: 1