Multilevel projection methods for nonlinear least-squares finite element computations
Electronic transactions on numerical analysis, Tome 10 (2000), pp. 56-73
The purpose of this paper is to describe and study several algorithms for implementing multilevel projection methods for nonlinear least-squares finite element computations. These algorithms are variants of the full approximation storage (FAS) scheme which is widely used in nonlinear multilevel computations. The methods are derived in the framework of the least-squares mixed formulation of nonlinear second-order elliptic problems.
Classification :
65M55, 65M60
Keywords: nonlinear elliptic problems, least-squares finite element method, nonlinear multilevel methods, multilevel projection methods, FAS scheme
Keywords: nonlinear elliptic problems, least-squares finite element method, nonlinear multilevel methods, multilevel projection methods, FAS scheme
@article{ETNA_2000__10__a3,
author = {Korsawe, Johannes and Starke, Gerhard},
title = {Multilevel projection methods for nonlinear least-squares finite element computations},
journal = {Electronic transactions on numerical analysis},
pages = {56--73},
year = {2000},
volume = {10},
zbl = {0948.65130},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2000__10__a3/}
}
TY - JOUR AU - Korsawe, Johannes AU - Starke, Gerhard TI - Multilevel projection methods for nonlinear least-squares finite element computations JO - Electronic transactions on numerical analysis PY - 2000 SP - 56 EP - 73 VL - 10 UR - http://geodesic.mathdoc.fr/item/ETNA_2000__10__a3/ LA - en ID - ETNA_2000__10__a3 ER -
%0 Journal Article %A Korsawe, Johannes %A Starke, Gerhard %T Multilevel projection methods for nonlinear least-squares finite element computations %J Electronic transactions on numerical analysis %D 2000 %P 56-73 %V 10 %U http://geodesic.mathdoc.fr/item/ETNA_2000__10__a3/ %G en %F ETNA_2000__10__a3
Korsawe, Johannes; Starke, Gerhard. Multilevel projection methods for nonlinear least-squares finite element computations. Electronic transactions on numerical analysis, Tome 10 (2000), pp. 56-73. http://geodesic.mathdoc.fr/item/ETNA_2000__10__a3/