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Volumn 82, Issue 28 SPEC. ISS., 2004, Pages 2437-2445

Multilevel methods for discontinuous galerkin FEM on locally refined meshes

Author keywords

Adaptive methods; Discontinuous Galerkin; Finite elements; Local refinement; Multigrid; Preconditioning

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; FINITE ELEMENT METHOD; MATRIX ALGEBRA; OPTIMIZATION; POISSON DISTRIBUTION; PROBLEM SOLVING;

EID: 4944249121     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.04.015     Document Type: Conference Paper
Times cited : (48)

References (13)
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    • Arnold, D.N.1
  • 2
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • Arnold DN, Brezzi F, Cockburn B, Marini D. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J Numer Anal 2001;39(5):1749-79.
    • (2001) SIAM J Numer Anal , vol.39 , Issue.5 , pp. 1749-1779
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, D.4
  • 5
    • 0442298658 scopus 로고    scopus 로고
    • Multigrid techniques for finite elements on locally refined meshes
    • [special issue]
    • Becker R, Braack M. Multigrid techniques for finite elements on locally refined meshes. Numer Linear Algebra Appl 2000;7:363-79, [special issue].
    • (2000) Numer Linear Algebra Appl , vol.7 , pp. 363-379
    • Becker, R.1    Braack, M.2
  • 7
    • 84941644838 scopus 로고    scopus 로고
    • Application of unified DG analysis to preconditioning DG methods
    • Bathe KJ, editor. Elsevier
    • Gopalakrishnan J, Kanschat G. Application of unified DG analysis to preconditioning DG methods. In: Bathe KJ, editor. Computational Fluid and Solid Mechanics 2003. Elsevier; 2003. p. 363-79.
    • (2003) Computational Fluid and Solid Mechanics 2003 , pp. 363-379
    • Gopalakrishnan, J.1    Kanschat, G.2
  • 8
    • 2942610848 scopus 로고    scopus 로고
    • Multi-level preconditioners for the interior penalty method
    • Brezzi F, Buffa A, Corsaro S, Murli A, editors. Milano: Springer Italia
    • Gopalakrishnan J, Kanschat G. Multi-level preconditioners for the interior penalty method. In: Brezzi F, Buffa A, Corsaro S, Murli A, editors. Numerical mathematics and advanced applications: ENUMATH 2001. Milano: Springer Italia; 2003. p. 795-804.
    • (2003) Numerical Mathematics and Advanced Applications: ENUMATH 2001 , pp. 795-804
    • Gopalakrishnan, J.1    Kanschat, G.2
  • 9
    • 0345060037 scopus 로고    scopus 로고
    • A multilevel discontinuous Galerkin method
    • Gopalakrishnan J, Kanschat G. A multilevel discontinuous Galerkin method. Numer Math 2003;95(3):527-50.
    • (2003) Numer Math , vol.95 , Issue.3 , pp. 527-550
    • Gopalakrishnan, J.1    Kanschat, G.2
  • 10
    • 0003396684 scopus 로고    scopus 로고
    • Kitsche mortar finite element method for transmission problems with singularities
    • SFB 393, Chemnitz
    • Heinrich B, Nicaise S. Kitsche mortar finite element method for transmission problems with singularities. Technical Report 01-10, SFB 393, Chemnitz, 2001. p. 3.
    • (2001) Technical Report , vol.1 , Issue.10 , pp. 3
    • Heinrich, B.1    Nicaise, S.2
  • 11
    • 17444402857 scopus 로고    scopus 로고
    • Block preconditioners for LDG discretizations of linear incompressible flow problems
    • submitted for publication
    • Kanschat G. Block preconditioners for LDG discretizations of linear incompressible flow problems. J Sri Comput, submitted for publication.
    • J Sri Comput
    • Kanschat, G.1
  • 12
    • 2942574812 scopus 로고    scopus 로고
    • Preconditioning methods for local discontinuous Galerkin discretizations
    • Kanschat G. Preconditioning methods for local discontinuous Galerkin discretizations. SIAM J Sci Comput 2003;25(3):815-31.
    • (2003) SIAM J Sci Comput , vol.25 , Issue.3 , pp. 815-831
    • Kanschat, G.1
  • 13
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    • Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
    • Kanschat G, Rannacher R. Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. J Numer Math 2002;10(4):249-74.
    • (2002) J Numer Math , vol.10 , Issue.4 , pp. 249-274
    • Kanschat, G.1    Rannacher, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.