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Volumn 39, Issue 4, 2002, Pages 219-237

Higher order dual Lagrange multiplier spaces for mortar finite element discretizations

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; FUNCTIONS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS;

EID: 0037002898     PISSN: 00080624     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100920200010     Document Type: Article
Times cited : (16)

References (16)
  • 3
    • 0041800397 scopus 로고    scopus 로고
    • The mortar finite element method with Lagrange multipliers
    • Ben Belgacem, F.: The mortar finite element method with Lagrange multipliers. Numer. Math. 84, 173-197 (1999)
    • (1999) Numer. Math. , vol.84 , pp. 173-197
    • Ben Belgacem, F.1
  • 4
    • 0005311960 scopus 로고    scopus 로고
    • The mortar element method for three dimensional finite elements
    • Ben Belgacem, F., Maday, Y.: The mortar element method for three dimensional finite elements. RAIRO Modél. Math. Anal. Numér. 31, 289-302 (1997)
    • (1997) RAIRO Modél. Math. Anal. Numér. , vol.31 , pp. 289-302
    • Ben Belgacem, F.1    Maday, Y.2
  • 6
    • 0002336587 scopus 로고
    • A new nonconforming approach to domain decomposition: The mortar element method
    • Brézis, H., Lions, J.-L. (eds.): Nonlinear partial differential equations and their applications. Harlow: Longman
    • Bernardi, C., Maday, Y., Patera, A.T.: A new nonconforming approach to domain decomposition: the mortar element method. In: Brézis, H., Lions, J.-L. (eds.): Nonlinear partial differential equations and their applications. Collège de France seminar, Vol. XI. Harlow: Longman 1994, pp. 13-51
    • (1994) Collège de France Seminar , vol.11 , pp. 13-51
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 7
    • 0032268117 scopus 로고    scopus 로고
    • Stability estimates of the mortar finite element method for 3-dimensional problems
    • Braess, D., Dahmen, W.: Stability estimates of the mortar finite element method for 3-dimensional problems. East-West J. Numer. Math. 6, 249-263 (1998)
    • (1998) East-West J. Numer. Math. , vol.6 , pp. 249-263
    • Braess, D.1    Dahmen, W.2
  • 9
    • 0035322507 scopus 로고    scopus 로고
    • Multiplier spaces for the mortar finite element method in three dimensions
    • Kim, C., Lazarov, R.D., Pasciak, J.E., Vassilevski, P.S.: Multiplier spaces for the mortar finite element method in three dimensions. SIAM J. Numer. Anal. 39, 519-538 (2001)
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 519-538
    • Kim, C.1    Lazarov, R.D.2    Pasciak, J.E.3    Vassilevski, P.S.4
  • 10
    • 0003163614 scopus 로고    scopus 로고
    • On polynomial reproduction of dual FE bases
    • Debit, N., et al.: Barcelona: Centre Internacional de Métodos Numéricos en Ingeniería
    • Oswald, P., Wohlmuth, B.I.: On polynomial reproduction of dual FE bases. In: Debit, N., et al.: Thirteenth international conference on domain decomposition methods. Barcelona: Centre Internacional de Métodos Numéricos en Ingeniería 2001, pp. 85-96
    • (2001) Thirteenth International Conference on Domain Decomposition Methods , pp. 85-96
    • Oswald, P.1    Wohlmuth, B.I.2
  • 11
    • 0034418916 scopus 로고    scopus 로고
    • Uniform hp convergence results for the mortar finite element method
    • Seshaiyer, P., Suri, M.: Uniform hp convergence results for the mortar finite element method. Math. Comp. 69, 521-546 (2000)
    • (2000) Math. Comp. , vol.69 , pp. 521-546
    • Seshaiyer, P.1    Suri, M.2
  • 12
    • 0001034158 scopus 로고    scopus 로고
    • Convergence results for non-conforming hp methods: The mortar finite element method
    • Mandel, J. et al. (eds.): Domain decomposition methods. 10. Providence, RI: American Mathematical Society
    • Seshaiyer, P., Suri, M.: Convergence results for non-conforming hp methods: the mortar finite element method. In: Mandel, J. et al. (eds.): Domain decomposition methods. 10. (Contemporary Mathematics 218) Providence, RI: American Mathematical Society 1998, pp. 453-459
    • (1998) Contemporary Mathematics , vol.218 , pp. 453-459
    • Seshaiyer, P.1    Suri, M.2
  • 13
    • 0003272809 scopus 로고    scopus 로고
    • Mortaring by a method of J.A. Nitsche
    • Idelsohn, S. et al. (eds.): Barcelona: Centra Internacional de Métodos Numéricos en Ingeniería, CD-ROM
    • Stenberg, R.: Mortaring by a method of J.A. Nitsche. In: Idelsohn, S. et al. (eds.): Computational Mechanics. Barcelona: Centra Internacional de Métodos Numéricos en Ingeniería 1998, CD-ROM
    • (1998) Computational Mechanics
    • Stenberg, R.1
  • 14
    • 0034437154 scopus 로고    scopus 로고
    • A mortar finite element method using dual spaces for the Lagrange multiplier
    • Wohlmuth, B.I.: A mortar finite element method using dual spaces for the Lagrange multiplier. SIAM J. Numer. Anal. 38, 989-1012 (2000)
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 989-1012
    • Wohlmuth, B.I.1
  • 15
    • 0003324460 scopus 로고    scopus 로고
    • Discretization methods and iterative solvers based on domain decomposition
    • Berlin: Springer
    • Wohlmuth, B.I.: Discretization methods and iterative solvers based on domain decomposition. (Lecture Notes in Computational Science and Engineering 17) Berlin: Springer 2001
    • (2001) Lecture Notes in Computational Science and Engineering , vol.17
    • Wohlmuth, B.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.