TY - GEN A1 - Duintjer-Tebbens, Jurjen A1 - Liesen, Jörg A1 - Strakoš, Zdenĕk T1 - Analysis of the second phase of the GMRES convergence for a convection-diffusion model problem N2 - It is well konwn that GMRES applied to linear algebraic systems arising from a convection-diffusion model problem that has been discretized by the streamline upwind Petrov-Galerkin (SUPG) method, typically displays two distinct phases of convergence: a slow initial phase followed by a convergence acceleration in the second phase. This paper complements the known results on the length of the initial phase by analyzing how the acceleration in the second phase of convergence is related to the mesh Peclet number and the choice of the stabilization parameter in the SUPG discretization. The analysis is based on some new expressions and bounds for the GMRES residuals, which can be of general interest. KW - convection-diffusion problem KW - SUPG discretization KW - SDFEM discretization KW - GMRES KW - convergence bounds Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/982 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-9822 ER -