Iterative solution of singular systems with applications

0426825 - ÚGN 2014 CZ eng K - Conference Paper (Czech conference)
Blaheta, Radim - Jakl, Ondřej - Starý, Jiří - Turan, E.
Iterative solution of singular systems with applications.
Seminar on Numerical Analysis. Modelling and Simulation of Challenging Engineering Problems. Ostrava: Institute of Geonics AS CR, 2013, s. 23-28. ISBN 978-80-86407-34-0.
[SNA ’13. Seminar on Numerical Analysis. Rožnov pod Radhoštěm (CZ), 21.01.2013-25.01.2013]
Institutional support: RVO:68145535
Keywords : iterative solution * singular systems * Neumann boundary conditions
Subject RIV: BA - General Mathematics

This contribution concerns the iterative solution of singular systems which arise in many applications. Let us mention the following: - solution of PDE problems with pure Neumann boundary conditions (which is our main aim), see [7], [8], [20]. Such problems have a specific role in numerical upscaling, see [6], - solution of Neumann type subproblems in domain decomposition techniques as FETI, Neumann-Neumann, BDDC methods, see [22], [16], - analysis of Markov chain problems, computation of stochastic vector, see e.g. [18], [19], - computer tomography [15], [14] and inverse problems [4], [21].
Permanent Link: http://hdl.handle.net/11104/0232457