Overlapping domain decomposition preconditioners for elliptic and parabolic problems in primal and mixed form

Blaheta, Radim

Number of the records: 1

Overlapping domain decomposition preconditioners for elliptic and parabolic problems in primal and mixed form

1.

SYSNO ASEP	0471115
Document Type	K - Proceedings Paper (Czech conf.)
R&D Document Type	The record was not marked in the RIV
Title	Overlapping domain decomposition preconditioners for elliptic and parabolic problems in primal and mixed form
Author(s)	Blaheta, Radim (UGN-S)_{RID, SAI, ORCID}
Number of authors	1
Source Title	SNA´17 - Seminar on Numerical Analysis, Modelling and Simulation of Challenging Engineering Problems. - Ostrava : Ústav geoniky AV ČR, 2017 / Blaheta R. ; Starý J. - ISBN 978-80-86407-64-7 S. 109-119
Number of pages	11 s.
Publication form	Online - E
Action	SNA ’17. Seminar on Numerical Analysis
Event date	30.01.2017 - 03.02.2017
VEvent location	Ostrava
Country	CZ - Czech Republic
Event type	CST
Language	eng - English
Country	CZ - Czech Republic
Keywords	preconditioners ; Schwarz method ; matrix Ma
Subject RIV	BA - General Mathematics
OECD category	Applied mathematics
R&D Projects	LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
	LD15105 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
Institutional support	UGN-S - RVO:68145535
Annotation	In this lecture, we concern the numerical solution of PDE problems and describe overlapping domain decomposition, which provides a tool for the construction of parallelizable Schwarz type iterative solvers and preconditioners. The idea of using overlapping domain decomposition goes back to Schwarz alternating method from 1870, see [1]. The analysis of this alternating iterative method was evolved by great mathematicians, see e.g. S.L. Sobolev (1936), R. Courant and D. Hilbert (1937), S.G. Michlin (1951), M. Práger (1958), I. Babuška (1958), F.E. Browder (1958). The use of overlapping domain decomposition for parallel computations started in the late eighties in the work of M. Dryja and O. Widlund [4], P.L. Lions [5, 6], S. Nepomnyaschikh [7] and others and continue up to the present days. The origin of the alternating Schwarz method is nicely described in [8].
Workplace	Institute of Geonics
Contact	Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354
Year of Publishing	2018

Number of the records: 1