TY - GEN
T1 - Local Spectra of Adaptive Domain Decomposition Methods
AU - Heinlein, Alexander
AU - Klawonn, Axel
AU - Kühn, Martin J.
PY - 2020
Y1 - 2020
N2 - For second order elliptic partial differential equations, such as diffusion or elasticity, with arbitrary and high coefficient jumps, the convergence rate of domain decomposition methods with classical coarse spaces typically deteriorates. One remedy is the use of adaptive coarse spaces, which use eigenfunctions computed from local generalized eigenvalue problems to enrich the standard coarse space; see, e.g., [19, 6, 5, 4, 22, 23, 3, 16, 17, 14, 7, 8, 24, 1, 20, 2, 13, 21, 10, 9, 11]. This typically results in a condition number estimate of the form
AB - For second order elliptic partial differential equations, such as diffusion or elasticity, with arbitrary and high coefficient jumps, the convergence rate of domain decomposition methods with classical coarse spaces typically deteriorates. One remedy is the use of adaptive coarse spaces, which use eigenfunctions computed from local generalized eigenvalue problems to enrich the standard coarse space; see, e.g., [19, 6, 5, 4, 22, 23, 3, 16, 17, 14, 7, 8, 24, 1, 20, 2, 13, 21, 10, 9, 11]. This typically results in a condition number estimate of the form
UR - http://www.scopus.com/inward/record.url?scp=85096612376&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-56750-7_18
DO - 10.1007/978-3-030-56750-7_18
M3 - Conference contribution
AN - SCOPUS:85096612376
SN - 9783030567491
T3 - Lecture Notes in Computational Science and Engineering
SP - 167
EP - 175
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
T2 - 25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018
Y2 - 23 July 2018 through 27 July 2018
ER -