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Volumn 41, Issue 3, 2004, Pages 115-137

A comparison of mortar and Nitsche techniques for linear elasticity

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; LAGRANGE MULTIPLIERS; NUMERICAL METHODS;

EID: 8744255637     PISSN: 00080624     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10092-004-0087-4     Document Type: Article
Times cited : (58)

References (20)
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    • (2002) SIAM J. Numer. Anal. , vol.39 , pp. 1749-1779
    • Arnold, D.1    Brezzi, F.2    Cockburn, B.3    Marini, L.D.4
  • 4
    • 0038682938 scopus 로고    scopus 로고
    • A finite element method for domain decomposition with non-matching grids
    • Becker, R., Hansbo, P., Stenberg, R.: A finite element method for domain decomposition with non-matching grids. M2AN Math. Model. Numer. Anal. 37, 209-225 (2003)
    • (2003) M2AN Math. Model. Numer. Anal. , vol.37 , pp. 209-225
    • Becker, R.1    Hansbo, P.2    Stenberg, R.3
  • 5
    • 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
  • 6
    • 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
  • 8
    • 0002336587 scopus 로고
    • A new nonconforming approach to domain decomposition: The mortar element method
    • Brézis, H., Lions, J.-L. (eds.): Collège de France Seminar Harlow: Longman
    • Bernardi, C., Maday, Y., Patera, 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) Nonlinear Partial Differential Equations and Their Applications , vol.11 , pp. 13-51
    • Bernardi, C.1    Maday, Y.2    Patera, T.3
  • 9
    • 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
  • 11
    • 0034548629 scopus 로고    scopus 로고
    • An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
    • Castillo, P., Cockburn, B., Perugia, I., Schötzau, D.: An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. SIAM J. Numer. Anal. 38, 1676-1706 (2000)
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 1676-1706
    • Castillo, P.1    Cockburn, B.2    Perugia, I.3    Schötzau, D.4
  • 14
    • 0038150501 scopus 로고    scopus 로고
    • The Nitsche mortar finite element method for transmission problems with singularities
    • Heinrich, B., Nicaise, S.: The Nitsche mortar finite element method for transmission problems with singularities. IMA J. Numer. Anal. 23, 331-358 (2003)
    • (2003) IMA J. Numer. Anal. , vol.23 , pp. 331-358
    • Heinrich, B.1    Nicaise, S.2
  • 15
    • 0036281422 scopus 로고    scopus 로고
    • Nitsche type mortaring for some elliptic problem with corner singularities
    • Heinrich, B., Pietsch, K.: Nitsche type mortaring for some elliptic problem with corner singularities. Computing 68, 217-238 (2002)
    • (2002) Computing , vol.68 , pp. 217-238
    • Heinrich, B.1    Pietsch, K.2
  • 16
    • 0035322507 scopus 로고    scopus 로고
    • Multiplier spaces for the mortar finite element method in three dimensions
    • Kim, C., Lazarov, R.D., Pasciak, J., Vassilevski, P.: 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.3    Vassilevski, P.4
  • 17
    • 84951671794 scopus 로고
    • Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
    • Nitsche, J.: Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Sem. Univ. Hamburg 36, 9-15 (1971)
    • (1971) Abh. Math. Sem. Univ. Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.1
  • 18
    • 0034437154 scopus 로고    scopus 로고
    • A mortar finite element method using dual spaces for the Lagrange multiplier
    • Wohlmuth, B.: 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.1
  • 20
    • 0041761670 scopus 로고    scopus 로고
    • A multigrid method based on the unconstrained product space for mortar finite element discretizations
    • Wohlmuth, B., Krause, R.: A multigrid method based on the unconstrained product space for mortar finite element discretizations. SIAM J. Numer. Anal. 39, 192-213 (2001)
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 192-213
    • Wohlmuth, B.1    Krause, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.