Lube, Gert; Knopp, Tobias; Rapin, Gerd Acceleration of a domain decomposition method for advection-diffusion problems. (English) Zbl 1066.65147 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 267-274 (2005). Summary: For advection-diffusion problems we show that a non-overlapping domain decomposition method with interface conditions of Robin type can be accelerated by using a critical parameter of the transmission condition in a cyclic way.For the entire collection see [Zbl 1049.65003]. Cited in 2 Documents MSC: 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:convergence acceleration; error bounds; numerical examples; conforming finite element; advection-diffusion problems; non-overlapping domain decomposition method; interface conditions of Robin type PDFBibTeX XMLCite \textit{G. Lube} et al., Lect. Notes Comput. Sci. Eng. 40, 267--274 (2005; Zbl 1066.65147)