TY - CHAP
T1 - An adaptive gdsw coarse space for two-level overlapping schwarz methods in two dimensions
AU - Heinlein, Alexander
AU - Klawonn, Axel
AU - Knepper, Jascha
AU - Rheinbach, Oliver
PY - 2018
Y1 - 2018
N2 - We propose robust coarse spaces for two-level overlapping Schwarz preconditioners, which are extensions of the energy minimizing coarse space known as GDSW (Generalized Dryja, Smith, Widlund). The resulting two-level methods with adaptive coarse spaces are robust for second order elliptic problems in two dimensions, even in presence of a highly heterogeneous coefficient function, and reduce to the standard GDSW algorithm if no additional coarse basis functions are used.
AB - We propose robust coarse spaces for two-level overlapping Schwarz preconditioners, which are extensions of the energy minimizing coarse space known as GDSW (Generalized Dryja, Smith, Widlund). The resulting two-level methods with adaptive coarse spaces are robust for second order elliptic problems in two dimensions, even in presence of a highly heterogeneous coefficient function, and reduce to the standard GDSW algorithm if no additional coarse basis functions are used.
UR - http://www.scopus.com/inward/record.url?scp=85060299715&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-93873-8_35
DO - 10.1007/978-3-319-93873-8_35
M3 - Chapter
AN - SCOPUS:85060299715
T3 - Lecture Notes in Computational Science and Engineering
SP - 373
EP - 382
BT - Lecture Notes in Computational Science and Engineering
PB - Springer
ER -