Improved splitting preconditioner for double saddle point problems arising from liquid crystal director modeling

被引:0
作者
Bi-Cong Ren
Fang Chen
Xiao-Liang Wang
机构
[1] Beijing Information Science and Technology University,School of Applied Science
[2] Beijing Institute of Technology,School of Aerospace Engineering
来源
Numerical Algorithms | 2022年 / 91卷
关键词
Double saddle point problem; Preconditioning; Matrix splitting; 65F10; 65F08;
D O I
暂无
中图分类号
学科分类号
摘要
To improve the performance of alternating positive semidefinite splitting (APSS) preconditioner, we present an improved APSS (IAPSS) preconditioner for the double saddle point problem arising from liquid crystal director modeling. Theoretical analysis shows that all eigenvalues of the IAPSS-preconditioned matrix are real and located in the interval (0, 2). Numerical examples also show the efficiency of the proposed preconditioner.
引用
收藏
页码:1363 / 1379
页数:16
相关论文
共 65 条
  • [21] Benzi M(2014)A practical formula for computing optimal parameters in the HSS iteration methods J. Comput. Appl. Math. 255 142-771
  • [22] Beik FPAM(2019)Alternating positive semidefinite splitting preconditioners for double saddle point problems Calcolo 56 26-B247
  • [23] Benzi M(2019)A generalized variant of simplified HSS preconditioner for generalized saddle point problems Appl. Math. Comput. 346 790-61
  • [24] Benzi M(2006)New preconditioners for saddle point problems Appl. Math. Comput. 172 762-14
  • [25] Golub GH(2013)A preconditioned nullspace method for liquid crystal director modeling SIAM J. Sci. Comput. 35 B226-607
  • [26] Benzi M(2015)On the generalized shift-splitting preconditioner for saddle point problems Appl. Math. Lett. 48 55-1006
  • [27] Deparis S(2018)An efficient variant of HSS preconditioner for generalized saddle point problem Numer. Linear Algebra Appl. e2166 1-undefined
  • [28] Grandperrin G(2009)A generalization of parameterized inexact Uzawa method for generalized saddle point problem Appl. Math. Comput. 215 599-undefined
  • [29] Quarteroni A(2022)A two-parameter block triangular preconditioner for double saddle point problem arising from liquid crystal directors modeling Numer. Algor. 89 987-undefined
  • [30] Cao Y(undefined)undefined undefined undefined undefined-undefined