TY - GEN
T1 - Analysis of Double Sweep Optimized Schwarz Methods
T2 - 25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018
AU - Gander, Martin J.
AU - Zhang, Hui
N1 - Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - Over the last decade, substantial research efforts have gone into developing preconditioners for time harmonic wave propagation problems, like the Helmholtz and the time harmonic Maxwell’s equations. Such equations are much harder to solve than diffusive problems like Laplace’s equation, because of two main reasons: first, the pollution effect [1] requires much finer meshes than would be necessary just to resolve the signal computed, and second, classical iterative methods all exhibit severe convergence problems when trying to solve the very large discrete linear systems obtained [9].
AB - Over the last decade, substantial research efforts have gone into developing preconditioners for time harmonic wave propagation problems, like the Helmholtz and the time harmonic Maxwell’s equations. Such equations are much harder to solve than diffusive problems like Laplace’s equation, because of two main reasons: first, the pollution effect [1] requires much finer meshes than would be necessary just to resolve the signal computed, and second, classical iterative methods all exhibit severe convergence problems when trying to solve the very large discrete linear systems obtained [9].
UR - http://www.scopus.com/inward/record.url?scp=85096518609&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-56750-7_5
DO - 10.1007/978-3-030-56750-7_5
M3 - Conference Proceeding
AN - SCOPUS:85096518609
SN - 9783030567491
T3 - Lecture Notes in Computational Science and Engineering
SP - 53
EP - 64
BT - Domain Decomposition Methods in Science and Engineering XXV, DD 2018
A2 - Haynes, Ronald
A2 - MacLachlan, Scott
A2 - Cai, Xiao-Chuan
A2 - Halpern, Laurence
A2 - Kim, Hyea Hyun
A2 - Klawonn, Axel
A2 - Widlund, Olof
PB - Springer Science and Business Media Deutschland GmbH
Y2 - 23 July 2018 through 27 July 2018
ER -