TY - GEN
T1 - Localization of Nonlinearities and Recycling in Dual Domain Decomposition
AU - Seibold, Andreas S.
AU - Leistner, Michael C.
AU - Rixen, Daniel J.
N1 - Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - Newton-Krylov domain decomposition methods are well suited for solving nonlinear structural mechanics problems in parallel, especially due to their scalability properties. A Newton-Raphson method in combination with a dual domain decomposition technique, such as a FETI method, takes advantage of the quadratic convergence behaviour of the Newton-Raphson algorithm and the scalabality and high parallelizability of FETI methods. In order to reduce expensive communication between computing cores and thus Newton-iterations, a localization step for nonlinearities was proposed for FETI2, FETI-DP andBDDCsolvers [12, 8].
AB - Newton-Krylov domain decomposition methods are well suited for solving nonlinear structural mechanics problems in parallel, especially due to their scalability properties. A Newton-Raphson method in combination with a dual domain decomposition technique, such as a FETI method, takes advantage of the quadratic convergence behaviour of the Newton-Raphson algorithm and the scalabality and high parallelizability of FETI methods. In order to reduce expensive communication between computing cores and thus Newton-iterations, a localization step for nonlinearities was proposed for FETI2, FETI-DP andBDDCsolvers [12, 8].
UR - http://www.scopus.com/inward/record.url?scp=85096572103&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-56750-7_55
DO - 10.1007/978-3-030-56750-7_55
M3 - Conference contribution
AN - SCOPUS:85096572103
SN - 9783030567491
T3 - Lecture Notes in Computational Science and Engineering
SP - 474
EP - 482
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
T2 - 25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018
Y2 - 23 July 2018 through 27 July 2018
ER -