Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems

0447835 - ÚTIA 2017 RIV SE eng J - Journal Article
Marcinkowski, L. - Rahman, T. - Loneland, A. - Valdman, Jan
Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems.
Bit. Roč. 56, č. 3 (2016), s. 967-993. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA ČR GA13-18652S
Institutional support: RVO:67985556
Keywords : Domain decomposition * Additive Schwarz method * Finite volume element * GMRES
Subject RIV: BA - General Mathematics
Impact factor: 1.670, year: 2016
http://library.utia.cas.cz/separaty/2015/MTR/valdman-0447835.pdf

A symmetric and a nonsymmetric variant of the additive Schwarz preconditioner are proposed for the solution of a class of finite volume element discretization of the symmetric elliptic problem in two dimensions, with large jumps in the entries of the coefficient matrices across subdomains. It is shown that the convergence of the preconditioned generalized minimal residual iteration using the proposed preconditioners depends polylogarithmically, in other words weakly, on the mesh parameters, and that they are robust with respect to the jumps in the coefficients.
Permanent Link: http://hdl.handle.net/11104/0249607