메뉴 건너뛰기




Volumn 112, Issue 4, 2009, Pages 565-600

Domain decomposition based H-LU preconditioning

Author keywords

[No Author keywords available]

Indexed keywords


EID: 67349279102     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-009-0218-6     Document Type: Article
Times cited : (77)

References (21)
  • 1
    • 37249058366 scopus 로고    scopus 로고
    • Why approximate LU decompositions of finite element discretizations of elliptic operators can be computed with almost linear complexity
    • M. Bebendorf 2007 Why approximate LU decompositions of finite element discretizations of elliptic operators can be computed with almost linear complexity SIAM J. Numer. Anal. 45 1472 1494
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 1472-1494
    • Bebendorf, M.1
  • 3
    • 84856271523 scopus 로고    scopus 로고
    • 2-matrix arithmetics in linear complexity
    • DOI 10.1007/s00607-005-0146-y
    • 2-matrix arithmetics in linear complexity Computing 77 1 28 (Pubitemid 43237781)
    • (2006) Computing (Vienna/New York) , vol.77 , Issue.1 , pp. 1-28
    • Borm, S.1
  • 4
    • 0036398772 scopus 로고    scopus 로고
    • Nested-dissection orderings for sparse LU with partial pivoting
    • I. Brainman S. Toledo 2002 Nested-dissection orderings for sparse LU with partial pivoting SIAM J. Math. Anal. Appl. 23 998 1012
    • (2002) SIAM J. Math. Anal. Appl. , vol.23 , pp. 998-1012
    • Brainman, I.1    Toledo, S.2
  • 5
    • 0036022621 scopus 로고    scopus 로고
    • H-matrix approximation for the operator exponential with applications
    • DOI 10.1007/s002110100360
    • I. Gavrilyuk W. Hackbusch B. Khoromskij 2002 H -matrix approximation for the operator exponential with applications Numer. Math. 92 83 111 (Pubitemid 36161520)
    • (2002) Numerische Mathematik , vol.92 , Issue.1 , pp. 83-111
    • Gavrilyuk, I.P.1    Hackbusch, W.2    Khoromskij, B.N.3
  • 6
    • 0000264382 scopus 로고
    • Nested dissection of a regular finite element mesh
    • A. George 1973 Nested dissection of a regular finite element mesh SIAM J. Numer. Anal. 10 345 363
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 345-363
    • George, A.1
  • 8
    • 33750144295 scopus 로고    scopus 로고
    • H-matrix preconditioners in convection-dominated problems
    • L. Grasedyck S. Le Borne 2005 H-matrix preconditioners in convection-dominated problems SIAM J. Math. Anal. 27 1172 1183
    • (2005) SIAM J. Math. Anal. , vol.27 , pp. 1172-1183
    • Grasedyck, L.1    Le Borne, S.2
  • 9
    • 0141829814 scopus 로고    scopus 로고
    • Construction and arithmetics of H-matrices
    • L. Grasedyck W. Hackbusch 2003 Construction and arithmetics of H-matrices Computing 70 295 334
    • (2003) Computing , vol.70 , pp. 295-334
    • Grasedyck, L.1    Hackbusch, W.2
  • 11
    • 47849120618 scopus 로고    scopus 로고
    • Parallel black box H-LU preconditioning for elliptic boundary value problems
    • L. Grasedyck R. Kriemann S. Le Borne 2008 Parallel black box H -LU preconditioning for elliptic boundary value problems Comput. Visual. Sci. 11 4-6 273 291
    • (2008) Comput. Visual. Sci. , vol.11 , Issue.46 , pp. 273-291
    • Grasedyck, L.1    Kriemann, R.2    Le Borne, S.3
  • 12
    • 0032637646 scopus 로고    scopus 로고
    • A sparse matrix arithmetic based on H-matrices. Part I: Introduction to H -matrices
    • W. Hackbusch 1999 A sparse matrix arithmetic based on H -matrices. Part I: Introduction to H -matrices Computing 62 89 108
    • (1999) Computing , vol.62 , pp. 89-108
    • Hackbusch, W.1
  • 13
    • 29044446810 scopus 로고    scopus 로고
    • Direct domain decomposition using the hierarchical matrix technique
    • Herrera, I., Keyes, D., Widlund, O., Yates, R. (eds.)
    • Hackbusch, W.: Direct domain decomposition using the hierarchical matrix technique. In: Herrera, I., Keyes, D., Widlund, O., Yates, R. (eds.) Domain Decomposition Methods in Science and Engineering, UNAM, pp. 39-50 (2003)
    • (2003) Domain Decomposition Methods in Science and Engineering, UNAM , pp. 39-50
    • Hackbusch, W.1
  • 15
    • 0002133258 scopus 로고    scopus 로고
    • A sparse matrix arithmetic based on H -matrices. Part II: Application to multi-dimensional problems
    • W. Hackbusch B. Khoromskij 2000 A sparse matrix arithmetic based on H -matrices. Part II: Application to multi-dimensional problems Computing 64 21 47
    • (2000) Computing , vol.64 , pp. 21-47
    • Hackbusch, W.1    Khoromskij, B.2
  • 17
    • 0032228620 scopus 로고    scopus 로고
    • Improving the run time and quality of nested dissection ordering
    • PII S1064827596300656
    • B. Hendrickson E. Rothberg 1998 Improving the run time and quality of nested dissection ordering SIAM J. Sci. Comp. 20 468 489 (Pubitemid 128689552)
    • (1998) SIAM Journal of Scientific Computing , vol.20 , Issue.2 , pp. 468-489
    • Hendrickson, B.1
  • 18
    • 34250173838 scopus 로고    scopus 로고
    • Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl-equations
    • I. Ibragimov S. Rjasanow K. Straube 2007 Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl-equations J. Numer. Math. 15 31 58
    • (2007) J. Numer. Math. , vol.15 , pp. 31-58
    • Ibragimov, I.1    Rjasanow, S.2    Straube, K.3
  • 19
    • 33750182927 scopus 로고    scopus 로고
    • Hierarchical matrices for convection-dominated problems
    • Kornhuber, R., Hoppe, R., Périaux, J., Pironneau, O., Widlund, O., Xu, J. (eds.) Lecture Notes in Computational Science and Engineering
    • Le Borne, S.: Hierarchical matrices for convection-dominated problems. In: Kornhuber, R., Hoppe, R., Périaux, J., Pironneau, O., Widlund, O., Xu, J. (eds.) Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, pp. 631-638 (2004)
    • (2004) Domain Decomposition Methods in Science and Engineering , pp. 631-638
    • Le Borne, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.