메뉴 건너뛰기




Volumn 10, Issue 1-2, 2003, Pages 159-180

Balancing domain decomposition for mortar mixed finite element methods

Author keywords

Balancing domain decomposition; Mixed finite element; Mortar finite element; Non matching grids

Indexed keywords


EID: 0037233472     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.316     Document Type: Article
Times cited : (49)

References (34)
  • 3
    • 0002336587 scopus 로고
    • A new nonconforming approach to domain decomposition: The mortar element method
    • Brezis H, Lions JL. (eds). Longman Scientific & Technical: UK
    • Bernardi C, Maday Y, Patera AT. A new nonconforming approach to domain decomposition: the mortar element method. In Nonlinear Partial Differential Equations and Their Applications, Brezis H, Lions JL. (eds). Longman Scientific & Technical: UK, 1994.
    • (1994) Nonlinear Partial Differential Equations and Their Applications
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 4
    • 0041800397 scopus 로고    scopus 로고
    • The mortar finite element method with Lagrange multipliers
    • Ben Belgacem F. The mortar finite element method with Lagrange multipliers. Numerische Mathematik 1999; 84(2): 173-197.
    • (1999) Numerische Mathematik , vol.84 , Issue.2 , pp. 173-197
    • Ben Belgacem, F.1
  • 5
    • 0142096513 scopus 로고
    • These de doctorat d'etat, a l'Universite Pierre et Marie Curie
    • Thomas JM. These de doctorat d'etat, a l'Universite Pierre et Marie Curie, 1977.
    • (1977)
    • Thomas, J.M.1
  • 6
    • 0003435740 scopus 로고    scopus 로고
    • Mixed finite element methods for flow in porous media
    • Ph.D. thesis, Rice University, Houston, Texas, TR96-09, University of Texas at Austin
    • Yotov I. Mixed finite element methods for flow in porous media. Ph.D. thesis, Rice University, Houston, Texas, 1996, TR96-09, Dept. Comp. Appl. Math., Rice University and TICAM Report 96-23, University of Texas at Austin. (Available on http://zeus.math.pitt.edu/̃yotov/research.)
    • (1996) Dept. Comp. Appl. Math., Rice University and TICAM Report , vol.96 , Issue.23
    • Yotov, I.1
  • 8
    • 0001476937 scopus 로고    scopus 로고
    • The mixed mortar finite element method for the incompressible Stokes problem: Convergence analysis
    • Ben Belgacem F. The mixed mortar finite element method for the incompressible Stokes problem: convergence analysis. SIAM Journal on Numerical Analysis 2000; 37(4): 1085-1100.
    • (2000) SIAM Journal on Numerical Analysis , vol.37 , Issue.4 , pp. 1085-1100
    • Ben Belgacem, F.1
  • 9
  • 10
    • 0001804939 scopus 로고
    • Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates
    • Arnold DN, Brezzi F. Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates. RAIRO Modélisation Mathematique et Analyse Numérique 1985; 19:7-32.
    • (1985) RAIRO Modélisation Mathematique et Analyse Numérique , vol.19 , pp. 7-32
    • Arnold, D.N.1    Brezzi, F.2
  • 13
    • 0040999685 scopus 로고
    • Parallel domain decomposition method for mixed finite elements for elliptic partial differential equations
    • Glowinski R, Kuznetsov Y, Meurant G, Periaux J, Widlund O (eds). SIAM: Philadelphia
    • Cowsar LC, Wheeler MF. Parallel domain decomposition method for mixed finite elements for elliptic partial differential equations. In Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations, Glowinski R, Kuznetsov Y, Meurant G, Periaux J, Widlund O (eds). SIAM: Philadelphia, 1991.
    • (1991) Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations
    • Cowsar, L.C.1    Wheeler, M.F.2
  • 14
    • 0040956879 scopus 로고    scopus 로고
    • Multigrid on the interface for mortar mixed finite element methods for elliptic problems
    • Wheeler MF, Yotov I. Multigrid on the interface for mortar mixed finite element methods for elliptic problems. Computer Methods in Applied Mechanics and Engineering 2000; 184:287-302.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.184 , pp. 287-302
    • Wheeler, M.F.1    Yotov, I.2
  • 16
    • 0000902475 scopus 로고
    • Optimal order substructuring preconditioners for mixed finite element methods on non-matching grids
    • Kuznetsov YA, Wheeler MF. Optimal order substructuring preconditioners for mixed finite element methods on non-matching grids. East-West Journal of Numerical Mathematics 1995; 3(2):127-143.
    • (1995) East-West Journal of Numerical Mathematics , vol.3 , Issue.2 , pp. 127-143
    • Kuznetsov, Y.A.1    Wheeler, M.F.2
  • 18
    • 0001662357 scopus 로고    scopus 로고
    • Iterative substructuring preconditioners for mortar element methods in two dimensions
    • Achdou Y, Maday Y, Widlund OB, Iterative substructuring preconditioners for mortar element methods in two dimensions. SIAM Journal on Numerical Analysis 1999; 36(2):551-580.
    • (1999) SIAM Journal on Numerical Analysis , vol.36 , Issue.2 , pp. 551-580
    • Achdou, Y.1    Maday, Y.2    Widlund, O.B.3
  • 20
    • 0030518529 scopus 로고    scopus 로고
    • Balancing domain decomposition for problems with large jumps in coefficients
    • Mandel J, Brezina M. Balancing domain decomposition for problems with large jumps in coefficients. Mathematics of Computation 1996; 65(216):1387-1401.
    • (1996) Mathematics of Computation , vol.65 , Issue.216 , pp. 1387-1401
    • Mandel, J.1    Brezina, M.2
  • 21
    • 0003144075 scopus 로고
    • Variational formulation and algorithm for trace operator in domain decomposition calculations
    • Los Angeles, CA. SIAM: Philadelphia, PA
    • Bourgat JF, Glowinski R, Le Tallec P, Vidrascu M. Variational formulation and algorithm for trace operator in domain decomposition calculations. In Domain Decomposition Methods (Los Angeles, CA, 1988). SIAM: Philadelphia, PA, 1989; 3-16.
    • (1988) Domain Decomposition Methods , pp. 3-16
    • Bourgat, J.F.1    Glowinski, R.2    Le Tallec, P.3    Vidrascu, M.4
  • 23
    • 0000276838 scopus 로고
    • Neumann-Neumann domain decomposition algorithms for solving 2D elliptic problems with nonmatching grids
    • Le Tallec P. Neumann-Neumann domain decomposition algorithms for solving 2D elliptic problems with nonmatching grids. East-West Journal of Numerical Mathematics 1993; 1(2): 129-146.
    • (1993) East-West Journal of Numerical Mathematics , vol.1 , Issue.2 , pp. 129-146
    • Le Tallec, P.1
  • 25
    • 70350630547 scopus 로고
    • Mixed and hybrid methods
    • Ciariet PG, Lions JL (eds). Elsevier Science Publishers B.V.: Amsterdam
    • Roberts JE, Thomas JM. Mixed and hybrid methods. In Handbook of Numerical Analysis, vol. II, Ciariet PG, Lions JL (eds). Elsevier Science Publishers B.V.: Amsterdam, 1991; 523-639.
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 523-639
    • Roberts, J.E.1    Thomas, J.M.2
  • 26
    • 34250256485 scopus 로고
    • Mixed finite elements in R3
    • Nedelec JC. Mixed finite elements in R3. Numerische Mathematik 1980; 35:315-341.
    • (1980) Numerische Mathematik , vol.35 , pp. 315-341
    • Nedelec, J.C.1
  • 27
    • 34250118577 scopus 로고
    • Two families of mixed elements for second order elliptic problems
    • Brezzi F, Douglas Jr. J, Marini LD. Two families of mixed elements for second order elliptic problems. Numerische Mathematik 1985; 88:217-235.
    • (1985) Numerische Mathematik , vol.88 , pp. 217-235
    • Brezzi, F.1    Douglas J., Jr.2    Marini, L.D.3
  • 29
    • 0003199785 scopus 로고
    • Mixed finite elements for second order elliptic problems in three variables
    • Brezzi F, Douglas Jr. J, Duràn R, Fortin M. Mixed finite elements for second order elliptic problems in three variables. Numerische Mathematik 1987; 51:237-250.
    • (1987) Numerische Mathematik , vol.51 , pp. 237-250
    • Brezzi, F.1    Douglas J., Jr.2    Duràn, R.3    Fortin, M.4
  • 30
    • 51249179041 scopus 로고
    • Prismatic mixed finite elements for second order elliptic problems
    • Zhangxin Chen, Douglas Jr. J. Prismatic mixed finite elements for second order elliptic problems. Calcolo 1989; 26:135-148.
    • (1989) Calcolo , vol.26 , pp. 135-148
    • Zhangxin, C.1    Douglas J., Jr.2
  • 31
    • 0003208638 scopus 로고
    • Poincaré-Steklov operators and domain decomposition methods in finite dimensional spaces
    • Glowinski R, Golub GH, Meurant GA, Periaux J (eds). SIAM: Philadelphia
    • Agoshkov VI. Poincaré-Steklov operators and domain decomposition methods in finite dimensional spaces. In First International Symposium on Domain Decomposition Methods for Partial Differential Equations, Glowinski R, Golub GH, Meurant GA, Periaux J (eds). SIAM: Philadelphia, 1988; 73-112.
    • (1988) First International Symposium on Domain Decomposition Methods for Partial Differential Equations , pp. 73-112
    • Agoshkov, V.I.1
  • 32
    • 84968495074 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring, IV
    • Bramble JH, Pasciak JE, Schatz AH. The construction of preconditioners for elliptic problems by substructuring, IV. Mathematics of Computation 1989; 53:1-24.
    • (1989) Mathematics of Computation , vol.53 , pp. 1-24
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 34
    • 0034437154 scopus 로고    scopus 로고
    • A mortar finite element method using dual spaces for the Lagrange multiplier
    • Wohlmuth BI. A mortar finite element method using dual spaces for the Lagrange multiplier. SIAM Journal on Numerical Analysis 2000; 38(3):989-1012.
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , Issue.3 , pp. 989-1012
    • Wohlmuth, B.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.