On the convergence of multigrid methods for flow problems
Electronic transactions on numerical analysis, Tome 8 (1999), pp. 46-87
We prove two theorems on the residual damping in multigrid methods when solving convection dominated diffusion equations and shock wave problems, discretized by the streamline diffusion finite element method.
Classification :
65N55, 65N30, 35L65
Keywords: multigrid methods, convergence, convection-diffusion, conservation laws, Green's function, shock waves
Keywords: multigrid methods, convergence, convection-diffusion, conservation laws, Green's function, shock waves
@article{ETNA_1999__8__a5,
author = {Persson, Ingemar and Samuelsson, Klas and Szepessy, Anders},
title = {On the convergence of multigrid methods for flow problems},
journal = {Electronic transactions on numerical analysis},
pages = {46--87},
year = {1999},
volume = {8},
zbl = {0937.76036},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_1999__8__a5/}
}
TY - JOUR AU - Persson, Ingemar AU - Samuelsson, Klas AU - Szepessy, Anders TI - On the convergence of multigrid methods for flow problems JO - Electronic transactions on numerical analysis PY - 1999 SP - 46 EP - 87 VL - 8 UR - http://geodesic.mathdoc.fr/item/ETNA_1999__8__a5/ LA - en ID - ETNA_1999__8__a5 ER -
Persson, Ingemar; Samuelsson, Klas; Szepessy, Anders. On the convergence of multigrid methods for flow problems. Electronic transactions on numerical analysis, Tome 8 (1999), pp. 46-87. http://geodesic.mathdoc.fr/item/ETNA_1999__8__a5/