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Volumn 70, Issue 3, 2015, Pages 282-295

Direct solvers performance on h-adapted grids

Author keywords

Direct solver; Finite element method; h version refinement; Singularities

Indexed keywords

BOUNDARY LAYERS; DISSECTION; FINITE ELEMENT METHOD; FORESTRY;

EID: 84930767661     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2015.05.007     Document Type: Article
Times cited : (12)

References (27)
  • 2
    • 47749091362 scopus 로고    scopus 로고
    • Reutilization of partial LU factorization for self-adaptive hp finite element method
    • Maciej Paszyński, and Robert Schaefer Reutilization of partial LU factorization for self-adaptive hp finite element method Lecture Notes in Computer Science vol. 5101 2008 965 974
    • (2008) Lecture Notes in Computer Science , vol.5101 , pp. 965-974
    • Paszyński, M.1    Schaefer, R.2
  • 3
    • 84876099737 scopus 로고    scopus 로고
    • A direct solver with reutilization of LU factorizations for h-adaptive finite element grids with point singularities
    • Maciej Paszyński, David Pardo, and Victor Manuel Calo A direct solver with reutilization of LU factorizations for h-adaptive finite element grids with point singularities Comput. Math. Appl. 65 8 2013 1140 1151
    • (2013) Comput. Math. Appl. , vol.65 , Issue.8 , pp. 1140-1151
    • Paszyński, M.1    Pardo, D.2    Manuel Calo, V.3
  • 4
    • 0000598547 scopus 로고
    • The multifrontal solution of unsymmetric sets of linear equations
    • Iain S. Duff, and John K. Reid The multifrontal solution of unsymmetric sets of linear equations SIAM J. Sci. Stat. 5 3 1984 633 641
    • (1984) SIAM J. Sci. Stat. , vol.5 , Issue.3 , pp. 633-641
    • Duff, I.S.1    Reid, J.K.2
  • 6
    • 0020822138 scopus 로고
    • The multifrontal solution of indefinite sparse symmetric linear
    • Iain S. Duff, and John K. Reid The multifrontal solution of indefinite sparse symmetric linear ACM Trans. Math. Software 9 3 1983 302 325
    • (1983) ACM Trans. Math. Software , vol.9 , Issue.3 , pp. 302-325
    • Duff, I.S.1    Reid, J.K.2
  • 7
    • 84984529908 scopus 로고
    • A frontal solution program for finite element analysis
    • Bruce M. Irons A frontal solution program for finite element analysis Internat. J. Numer. Methods Engrg. 2 1 1970 5 32
    • (1970) Internat. J. Numer. Methods Engrg. , vol.2 , Issue.1 , pp. 5-32
    • Irons, B.M.1
  • 8
    • 84856332022 scopus 로고    scopus 로고
    • The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
    • Nathan Collier, David Pardo, Lisandro Dalcin, Maciej Paszyński, and Victor Manuel Calo The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers Comput. Methods Appl. Mech. Engrg. 213-216 0 2012 353 361
    • (2012) Comput. Methods Appl. Mech. Engrg. , vol.213-216 , pp. 353-361
    • Collier, N.1    Pardo, D.2    Dalcin, L.3    Paszyński, M.4    Manuel Calo, V.5
  • 9
    • 84855348185 scopus 로고    scopus 로고
    • Refined h-adaptive finite element procedure for large deformation geotechnical problems
    • Mina Kardani, Majidreza Nazem, Andrew J. Abbo, Daicho Sheng, and Scott W. Sloan Refined h-adaptive finite element procedure for large deformation geotechnical problems Comput. Mech. 49 1 2012 21 33
    • (2012) Comput. Mech. , vol.49 , Issue.1 , pp. 21-33
    • Kardani, M.1    Nazem, M.2    Abbo, A.J.3    Sheng, D.4    Sloan, S.W.5
  • 10
    • 84862006383 scopus 로고    scopus 로고
    • Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version
    • Antti Niemi, Ivo Babuska, Juhani Pitkaranta, and Leszek Demkowicz Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version Eng. Comput. 28 2 2012 123 134
    • (2012) Eng. Comput. , vol.28 , Issue.2 , pp. 123-134
    • Niemi, A.1    Babuska, I.2    Pitkaranta, J.3    Demkowicz, L.4
  • 11
    • 84861228515 scopus 로고    scopus 로고
    • An h-adaptive finite element solver for the calculations of the electronic structures
    • Gang Bao, Guanghui Hu, and Du Liu An h-adaptive finite element solver for the calculations of the electronic structures J. Comput. Phys. 231 14 2012 4967 4979
    • (2012) J. Comput. Phys. , vol.231 , Issue.14 , pp. 4967-4979
    • Bao, G.1    Hu, G.2    Liu, D.3
  • 12
    • 84871585844 scopus 로고    scopus 로고
    • Adaptive h-finite element modeling of wind flow around bridges
    • Sanjaya K. Patro, Bosch Harold Selvam, and R. Panneer Adaptive h-finite element modeling of wind flow around bridges Eng. Struct. 48 2013 569 577
    • (2013) Eng. Struct. , vol.48 , pp. 569-577
    • Patro, S.K.1    Harold Selvam, B.2    Panneer, R.3
  • 13
    • 0000613724 scopus 로고
    • Error estimates for adaptive finite element computations
    • Ivo Babuska, and Werner C. Rheinboldt Error estimates for adaptive finite element computations SIAM J. Numer. Anal. 15 4 1978 736 754
    • (1978) SIAM J. Numer. Anal. , vol.15 , Issue.4 , pp. 736-754
    • Babuska, I.1    Rheinboldt, W.C.2
  • 14
    • 0034461033 scopus 로고    scopus 로고
    • Adaptive finite element methods for optimal control of partial differential equations: Basic concept
    • Roland Becker, Hartmut Kapp, and Rolf Rannacher Adaptive finite element methods for optimal control of partial differential equations: Basic concept SIAM J. Control Optim. 39 1 2000 113 132
    • (2000) SIAM J. Control Optim. , vol.39 , Issue.1 , pp. 113-132
    • Becker, R.1    Kapp, H.2    Rannacher, R.3
  • 15
    • 0026106415 scopus 로고
    • Adaptive finite element methods for parabolic problems I: A linear model problem
    • Kenneth Errikson, and Claes Johnson Adaptive finite element methods for parabolic problems I: A linear model problem SIAM J. Numer. Anal. 28 1 1991 43 77
    • (1991) SIAM J. Numer. Anal. , vol.28 , Issue.1 , pp. 43-77
    • Errikson, K.1    Johnson, C.2
  • 16
    • 0027838149 scopus 로고
    • H-adaptive finite element methods for dynamic problems, with emphasis on localization
    • Ted Belytschko, and Mazen Tabbar H-adaptive finite element methods for dynamic problems, with emphasis on localization Internat. J. Numer. Methods Engrg. 36 24 1993 4245 4265
    • (1993) Internat. J. Numer. Methods Engrg. , vol.36 , Issue.24 , pp. 4245-4265
    • Belytschko, T.1    Tabbar, M.2
  • 19
    • 0033884893 scopus 로고    scopus 로고
    • Multifrontal parallel distributed symmetric and unsymmetric solvers
    • Patrick R. Amestoy, Iain S. Duff, and Jean-Yves L'Excellent Multifrontal parallel distributed symmetric and unsymmetric solvers Comput. Methods Appl. Mech. Engrg. 184 2 2000 501 520
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.184 , Issue.2 , pp. 501-520
    • Amestoy, P.R.1    Duff, I.S.2    L'Excellent, J.-Y.3
  • 20
    • 0036060795 scopus 로고    scopus 로고
    • A fully asynchronous multifrontal solver using distributed dynamic scheduling
    • Patrick R. Amestoy, Iain S. Duff, Jean-Yves L'Excellent, and Jacko Koster A fully asynchronous multifrontal solver using distributed dynamic scheduling SIAM J. Matrix Anal. Appl. 23 1 2001 15 41
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , Issue.1 , pp. 15-41
    • Amestoy, P.R.1    Duff, I.S.2    L'Excellent, J.-Y.3    Koster, J.4
  • 21
    • 31044439817 scopus 로고    scopus 로고
    • Hybrid scheduling for the parallel solution of linear systems
    • Patrick R. Amestoy, Abdou Guermouche, Jean-Yves L'Excellent, and Stephane Pralet Hybrid scheduling for the parallel solution of linear systems Parallel Comput. 32 2 2006 136 156
    • (2006) Parallel Comput. , vol.32 , Issue.2 , pp. 136-156
    • Amestoy, P.R.1    Guermouche, A.2    L'Excellent, J.-Y.3    Pralet, S.4
  • 22
    • 0032131147 scopus 로고    scopus 로고
    • A fast and high quality multilevel scheme for partitioning irregular graphs
    • George Karypis, and Vipin Kumar A fast and high quality multilevel scheme for partitioning irregular graphs SIAM J. Sci. Comput. 20 1 1999 359 392
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.1 , pp. 359-392
    • Karypis, G.1    Kumar, V.2
  • 23
    • 84855187884 scopus 로고    scopus 로고
    • A fast direct solver for elliptic problems on general meshes in 2d
    • Phillipe G. Schmitz, and Lexing Ying A fast direct solver for elliptic problems on general meshes in 2d J. Comput. Phys. 231 2012 1314 1338
    • (2012) J. Comput. Phys. , vol.231 , pp. 1314-1338
    • Schmitz, P.G.1    Ying, L.2
  • 24
    • 84924316639 scopus 로고    scopus 로고
    • A fast multifrontal solver for 3d elliptic problems using hierarchical matrices
    • submitted for publication
    • Phillipe G. Schmitz, and Lexing Ying A fast multifrontal solver for 3d elliptic problems using hierarchical matrices J. Comput. Phys. 2013 submitted for publication
    • (2013) J. Comput. Phys.
    • Schmitz, P.G.1    Ying, L.2
  • 25
    • 0042185232 scopus 로고    scopus 로고
    • Spectral deferred correction methods for ordinary differential equations
    • Alok Dutt, Leslie Greengard, and Rokhlin Vladimir Spectral deferred correction methods for ordinary differential equations BIT 40 2000 241 266
    • (2000) BIT , vol.40 , pp. 241-266
    • Dutt, A.1    Greengard, L.2    Vladimir, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.