On the convergence of multigrid methods for flow problems

zbMath0937.76036MaRDI QIDQ1292266

Klas Samuelsson, Ingemar Persson, Anders Szepessy

Publication date: 21 June 1999

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120310

zbMATH Keywords

convergencesmoothingconservation lawsmultigrid methodsstreamline diffusion finite element methodtwo-grid methodconvection dominated diffusion equationsdiscrete Green's functionsisotropic artificial diffusionresidual dampingtwo-dimensional Burgers shock wave problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Diffusion (76R50) Shock waves and blast waves in fluid mechanics (76L05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)