TY - JOUR
T1 - Krylov subspace acceleration of nonlinear multigrid with application to recirculating flows
AU - Oosterlee, C. W.
AU - Washio, T.
PY - 2000/4
Y1 - 2000/4
N2 - This paper deals with the combination of two solution methods: multigrid and GMRES [SIAM J. Sci. Comput., 14 (1993), pp. 856-869]. The generality and parallelizability of this combination are established by applying it to systems of nonlinear PDEs. As the 'preconditioner' for a nonlinear Krylov subspace method, we use the full approximation storage (FAS) scheme [Math. Comp., 31 (1977), pp. 333-390], a nonlinear multigrid method. The nonlinear Krylov acceleration is applied also on coarse grids, so that recirculating incompressible flow problems discretized with a higher order upwind scheme can be solved efficiently.
AB - This paper deals with the combination of two solution methods: multigrid and GMRES [SIAM J. Sci. Comput., 14 (1993), pp. 856-869]. The generality and parallelizability of this combination are established by applying it to systems of nonlinear PDEs. As the 'preconditioner' for a nonlinear Krylov subspace method, we use the full approximation storage (FAS) scheme [Math. Comp., 31 (1977), pp. 333-390], a nonlinear multigrid method. The nonlinear Krylov acceleration is applied also on coarse grids, so that recirculating incompressible flow problems discretized with a higher order upwind scheme can be solved efficiently.
UR - https://www.scopus.com/pages/publications/0033708934
U2 - 10.1137/S1064827598338093
DO - 10.1137/S1064827598338093
M3 - Article
AN - SCOPUS:0033708934
SN - 0036-1410
VL - 21
SP - 1670
EP - 1690
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
IS - 5
ER -