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Volumn 4, Issue , 1996, Pages 75-88

A hierarchical preconditioner for the mortar finite element method

Author keywords

Domain decomposition; Hierarchical preconditioner; Mortar finite element method

Indexed keywords


EID: 0002565695     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (41)

References (21)
  • 1
    • 0009967691 scopus 로고
    • Substructuring preconditioners for finite element methods on nonmatching grids
    • Y. AcHDOU AND Y. A. KUZNETSOV, Substructuring preconditioners for finite element methods on nonmatching grids, East-West J. Numer. Math., 3 (1995), pp. 1-28.
    • (1995) East-West J. Numer. Math. , vol.3 , pp. 1-28
    • Achdou, Y.1    Kuznetsov, Y.A.2
  • 2
    • 84951600891 scopus 로고
    • Substructuring preconditioners for the Qi mortar element method
    • Y. ACHDOU, Y. A. KUZNETSOV, AND O. PIRONNEAU, Substructuring preconditioners for the Qi mortar element method, Numer. Math., 71 (1995), pp. 419-449.
    • (1995) Numer. Math. , vol.71 , pp. 419-449
    • Achdou, Y.1    Kuznetsov, Y.A.2    Pironneau, O.3
  • 3
    • 0039929134 scopus 로고    scopus 로고
    • Methode iterative de sous-structuration pour les elements avec joints
    • Y. AcHDOU, Y. MADAY, AND O. B. WIDLUND, Methode iterative de sous-structuration pour les elements avec joints, C.R. Acad. Sci. Paris, 322 (1996), pp. 185-190.
    • (1996) C.R. Acad. Sci. Paris , vol.322 , pp. 185-190
    • Achdou, Y.1    Maday, Y.2    Widlund, O.B.3
  • 4
    • 0012449462 scopus 로고    scopus 로고
    • Iterative Substructuring preconditioners for the mortar finite element method in two dimensions
    • In preparation.
    • Y. AcHDOU, Y. MADAY, AND O. B. WIDLUND, Iterative Substructuring preconditioners for the mortar finite element method in two dimensions, tech. rep., Courant Institute of Mathematical Sciences, 1996. In preparation.
    • (1996) Tech. Rep., Courant Institute of Mathematical Sciences
    • Achdou, Y.1    Maday, Y.2    Widlund, O.B.3
  • 5
    • 0009308972 scopus 로고
    • Discretisations 3D Non Conformes pour la Methode de Decomposition de Domaine des Element avec Joints: Analyse Mathematique et Mise en vre pour le Probleme de Poisson
    • PhD thesis, Universite Pierre et Marie Curie, Paris, France, January Electricite de France.
    • F. BEN BELGACEM, Discretisations 3D Non Conformes pour la Methode de Decomposition de Domaine des Element avec Joints: Analyse Mathematique et Mise en vre pour le Probleme de Poisson, PhD thesis, Universite Pierre et Marie Curie, Paris, France, January 1993. Tech. Rep. HI-72/93017, Electricite de France.
    • (1993) Tech. Rep. HI-72/93017
    • Ben Belgacem, F.1
  • 6
    • 53349161459 scopus 로고    scopus 로고
    • Adaption de la methode des elements avec joints au couplage spectral elments finis en dimension 3: Etude de l'erreur pour l'equation de Poisson, tech. rep., Electricite de France, April 1992
    • F. BEN BELGACEM AND Y. MADAY, Adaption de la methode des elements avec joints au couplage spectral elments finis en dimension 3: etude de l'erreur pour l'equation de Poisson, tech. rep., Electricite de France, April 1992. Tech. Rep. HI-72/7095.
    • Tech. Rep. HI-72/7095.
    • Ben Belgacem, F.1    Maday, Y.2
  • 8
    • 0004346256 scopus 로고
    • Mesh adaptivity in finite elements by the mortar method
    • Laboratoire d'Analyse Numerique, Universite Pierre et Marie Curie -Centre National de la Recherche Scientifique, January
    • C. BERNARDI AND Y. MADAY, Mesh adaptivity in finite elements by the mortar method, Tech. Rep. R94029, Laboratoire d'Analyse Numerique, Universite Pierre et Marie Curie -Centre National de la Recherche Scientifique, January 1995.
    • (1995) Tech. Rep. R94029
    • Bernardi, C.1    Maday, Y.2
  • 9
    • 0002336587 scopus 로고
    • A new non conforming approach to domain decomposition: The mortar element method
    • H. Brezis and J.-L. Lions, eds., Pitman
    • C. BERNARDI, Y. MADAY, AND A. T. PATERA, A new non conforming approach to domain decomposition: The mortar element method, in Collège de France Seminar, H. Brezis and J.-L. Lions, eds., Pitman, 1994. This paper appeared as a technical report about five years earlier.
    • (1994) Collège De France Seminar
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 10
    • 0022918065 scopus 로고
    • Iterative methods for the solution of elliptic problems on regions partitioned into substructures
    • P. E. BJ0RSTAD AND O. B. WlDLUND, Iterative methods for the solution of elliptic problems on regions partitioned into substructures, SIAM J. Numer. Anal., 23 (1986), pp. 1093-1120.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1093-1120
    • Bjrstad, P.E.1    Wldlund, O.B.2
  • 11
    • 0041047822 scopus 로고
    • A second order finite difference analogue of the first biharmonic boundary value problem
    • J. H. BRAMBLE, A second order finite difference analogue of the first biharmonic boundary value problem, Numer. Math., 9 (1966), pp. 236-249.
    • (1966) Numer. Math. , vol.9 , pp. 236-249
    • Bramble, J.H.1
  • 12
    • 3142720324 scopus 로고
    • Diagonal edge preconditioners in p-version and spectral element methods
    • Department of Computer Science, Courant Institute, September SIAM J. Sci. Comput.
    • M. A. CASARIN, Diagonal edge preconditioners in p-version and spectral element methods, Tech. Rep. 704, Department of Computer Science, Courant Institute, September 1995. To appear in SIAM J. Sci. Comput.
    • (1995) Tech. Rep. , vol.704
    • Casarin, M.A.1
  • 14
    • 0010039953 scopus 로고    scopus 로고
    • Additive Schwarz methods for elliptic mortar finite element problems
    • K. Malanowski, Z. Nahorski, and M. Peszynska, eds., IFIP, Chapman & Hall, London, To appear.
    • M. DRYJA, Additive Schwarz methods for elliptic mortar finite element problems, in Modeling and Optimization of Distributed Parameter Systems with Applications to Engineering, K. Malanowski, Z. Nahorski, and M. Peszynska, eds., IFIP, Chapman & Hall, London, 1996. To appear.
    • (1996) Modeling and Optimization of Distributed Parameter Systems with Applications to Engineering
    • Dryja, M.1
  • 15
    • 84990712164 scopus 로고
    • Schwarz methods of Neumann-Neumann type for threedimensional elliptic finite element problems
    • M. DRYJA AND O. B. WlDLUND, Schwarz methods of Neumann-Neumann type for threedimensional elliptic finite element problems, Comm. Pure Appl. Math., 48 (1995), pp. 121 155.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 121155
    • Dryja, M.1    Wldlund, O.B.2
  • 16
    • 0000276838 scopus 로고
    • Neumann-Neumann domain decomposition algorithms for solving 2D elliptic problems with nonmatching grids
    • P. LE TALLEC, Neumann-Neumann domain decomposition algorithms for solving 2D elliptic problems with nonmatching grids, East-West J. Numer. Math., 1 (1993), pp. 129-146.
    • (1993) East-West J. Numer. Math. , vol.1 , pp. 129-146
    • Tallec, P.L.E.1
  • 17
    • 3142751114 scopus 로고    scopus 로고
    • Some iterative sub structuring methods for mortar finite elements: The lower order case
    • In preparation.
    • Y. MADAY AND O. B. WlDLUND, Some iterative sub structuring methods for mortar finite elements: The lower order case, tech. rep., Courant Institute of Mathematical Sciences, 1996. In preparation.
    • (1996) Tech. Rep., Courant Institute of Mathematical Sciences
    • Maday, Y.1    Wldlund, O.B.2
  • 18
    • 0004125373 scopus 로고    scopus 로고
    • Domain Decomposition Algorithms for the Partial Differential Equations of Linear Elasticity
    • PhD thesis, Courant Institute of Mathematical Sciences, September 1990. Department of Computer Science, Courant Institute.
    • B. F. SMITH, Domain Decomposition Algorithms for the Partial Differential Equations of Linear Elasticity, PhD thesis, Courant Institute of Mathematical Sciences, September 1990. Tech. Rep. 517, Department of Computer Science, Courant Institute.
    • Tech. Rep. , vol.517
    • Smith, B.F.1
  • 19
    • 0005651056 scopus 로고
    • A domain decomposition algorithm using a hierarchical basis
    • B. F. SMITH AND O. B. WlDLUND, A domain decomposition algorithm using a hierarchical basis, SIAM J. Sci. Stat. Comput., 11 (1990), pp. 1212-1220.
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 1212-1220
    • Smith, B.F.1    Wldlund, O.B.2
  • 20
    • 0002891427 scopus 로고
    • Iterative sub structuring methods: Algorithms and theory for elliptic problems in the plane
    • R. Glowinski, G. H. Golub, G. A. Meurant, and J. Periaux, eds., Philadelphia, PA, SIAM.
    • O. B. WlDLUND, Iterative sub structuring methods: Algorithms and theory for elliptic problems in the plane, in First International Symposium on Domain Decomposition Methods for Partial Differential Equations, R. Glowinski, G. H. Golub, G. A. Meurant, and J. Periaux, eds., Philadelphia, PA, 1988, SIAM.
    • (1988) First International Symposium on Domain Decomposition Methods for Partial Differential Equations
    • Wldlund, O.B.1
  • 21
    • 34250126304 scopus 로고
    • On the multi-level splitting of finite element spaces
    • H. YSERENTANT, On the multi-level splitting of finite element spaces, Numer. Math., 49 (1986), pp. 379-412.
    • (1986) Numer. Math. , vol.49 , pp. 379-412
    • Yserentant, H.1


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