Multifrontal incomplete factorization for indefinite and complex symmetric systems

被引：4
|
作者：
Qu, Y
Fish, J
机构：
[1] Rensselaer Polytech Inst, Dept Civil Engn, Troy, NY 12180 USA
[2] Rensselaer Polytech Inst, Dept Engn Mech, Troy, NY 12180 USA
[3] Rensselaer Polytech Inst, Dept Aerosp Engn, Troy, NY 12180 USA
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2002年 / 53卷 / 06期
关键词：
multifrontal; incomplete factorization; indefinite; complex; adaptive;
D O I：
10.1002/nme.344
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new class of preconditioners based on the adaptive threshold incomplete multifrontal factorization for indefinite and complex symmetric systems is developed. Numerical experiments consisting of the 3D Helmholtz equations, fluid-structure interaction and localization problems demonstrate the excellent performance of the preconditioner. Copyright (C) 2001 John Wiley Sons, Ltd.
引用
收藏
页码：1433 / 1459
页数：27
相关论文
共 50 条
  • [41] Symmetric Alternating Direction Method with Indefinite Proximal Regularization for Linearly Constrained Convex Optimization
    Gao, Bin
    Ma, Feng
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 176 (01) : 178 - 204
  • [42] SOLUTIONS TO INDEFINITE WEAKLY COUPLED COOPERATIVE ELLIPTIC SYSTEMS
    Clapp, Monica
    Szulkin, Andrzej
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2022, 59 (2A) : 553 - 568
  • [43] AN INCOMPLETE FACTORIZATION PRECONDITIONER BASED ON SHIFTED LAPLACE OPERATORS FOR FEM ANALYSIS OF MICROWAVE STRUCTURES
    Zhu, J.
    Ping, X. W.
    Chen, R. S.
    Fan, Z. H.
    Ding, D. Z.
    MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2010, 52 (05) : 1036 - 1042
  • [44] Towards robust two-level methods for indefinite systems
    Fish, J
    Qu, Y
    Suvorov, A
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1999, 45 (10) : 1433 - 1456
  • [45] A ROBUST TWO-LEVEL INCOMPLETE FACTORIZATION FOR (NAVIER-)STOKES SADDLE POINT MATRICES
    Wubs, Fred W.
    Thies, Jonas
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2011, 32 (04) : 1475 - 1499
  • [46] A FETI-DP method for the parallel iterative solution of indefinite and complex-valued solid and shell vibration problems
    Farhat, C
    Li, J
    Avery, P
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 63 (03) : 398 - 427
  • [47] HSL_MI28: An Efficient and Robust Limited-Memory Incomplete Cholesky Factorization Code
    Scott, Jennifer
    Tuma, Miroslav
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2014, 40 (04):
  • [48] Data Visualisation of Complex Adaptive Systems
    Sinha, Satyendra
    Chaczko, Zenon
    2019 18TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY BASED HIGHER EDUCATION AND TRAINING (ITHET 2019), 2019,
  • [49] An on-node scalable sparse incomplete LU factorization for a many-core iterative solver with Javelin
    Booth, Joshua Dennis
    Bolet, Gregory
    PARALLEL COMPUTING, 2020, 94-95 (94-95)
  • [50] An Inverse-Based Multifrontal Block Incomplete LU Preconditioner for the 3-D Finite-Element Eigenvalue Analysis of Lossy Slow-Wave Structures
    Wang, Hao
    Xu, Li
    Li, Jian-Qing
    Li, Bin
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2015, 63 (07) : 2094 - 2106
12345