TY - GEN
T1 - Robust preconditioner for H(curl) interface problems
AU - Xu, Jinchao
AU - Zhu, Yunrong
N1 - Funding Information:
The first author was supported in part by NSF DMS-0609727, NSFC-10528102 and Alexander von Humboldt Research Award for Senior US Scientists. The second author would like to thank his postdoctoral advisor Professor Michael Holst for his encouragement and support through NSF Awards 0715146 and 0411723.
PY - 2010
Y1 - 2010
N2 - In this paper, we construct an auxiliary space preconditioner for Maxwell's equations with interface, and generalize the HX preconditioner developed in [9] to the problem with strongly discontinuous coefficients. For the H(curl) interface problem, we show that the condition number of the HX preconditioned system is uniformly bounded with respect to the coefficients and meshsize.
AB - In this paper, we construct an auxiliary space preconditioner for Maxwell's equations with interface, and generalize the HX preconditioner developed in [9] to the problem with strongly discontinuous coefficients. For the H(curl) interface problem, we show that the condition number of the HX preconditioned system is uniformly bounded with respect to the coefficients and meshsize.
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U2 - 10.1007/978-3-642-11304-8_18
DO - 10.1007/978-3-642-11304-8_18
M3 - Conference contribution
AN - SCOPUS:78651584003
SN - 9783642113031
T3 - Lecture Notes in Computational Science and Engineering
SP - 173
EP - 180
BT - Domain Decomposition Methods in Science and Engineering XIX
T2 - 19th International Conference on Domain Decomposition, DD19
Y2 - 17 August 2009 through 22 August 2009
ER -