Počet záznamů: 1

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

  1. 1.
    0471115 - UGN-S 2018 CZ eng K - Konferenční příspěvek (tuzemská konf.)
    Blaheta, Radim
    Overlapping domain decomposition preconditioners for elliptic and parabolic problems in primal and mixed form.
    SNA´17 - Seminar on Numerical Analysis. Ostrava: Ústav geoniky AV ČR, 2017 - (Blaheta, R.; Starý, J.), s. 109-119. ISBN 978-80-86407-64-7.
    [SNA ’17. Seminar on Numerical Analysis. Ostrava (CZ), 30.01.2017-03.02.2017]
    Grant CEP: GA MŠk LQ1602; GA MŠk LD15105
    Institucionální podpora: RVO:68145535
    Klíčová slova: preconditioners * Schwarz method * matrix Ma
    Kód oboru RIV: BA - Obecná matematika
    http://www.ugn.cas.cz/actually/event/2017/sna/sna-sbornik.pdf http://www.ugn.cas.cz/actually/event/2017/sna/sna-sbornik.pdf

    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].
    Trvalý link: http://hdl.handle.net/11104/0268565