메뉴 건너뛰기




Volumn 196, Issue 49-52, 2007, Pages 4881-4900

A discontinuous stabilized mortar method for general 3D elastic problems

Author keywords

Curved interfaces; Discontinuous Lagrange multiplers; Mortar methods; Stabilization

Indexed keywords

ELASTICITY; INTERFACES (MATERIALS); LAGRANGE MULTIPLIERS; NUMERICAL METHODS; THREE DIMENSIONAL;

EID: 34548737058     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.06.014     Document Type: Article
Times cited : (36)

References (37)
  • 1
    • 0001747884 scopus 로고
    • Une méthode d'éléments finis hybrides en décomposition de domaines
    • Agouzal A., and Thomas J.M. Une méthode d'éléments finis hybrides en décomposition de domaines. RAIRO M2AN 29 (1995) 749-764
    • (1995) RAIRO M2AN , vol.29 , pp. 749-764
    • Agouzal, A.1    Thomas, J.M.2
  • 3
    • 0043236805 scopus 로고    scopus 로고
    • Numerical simulation of the wave equation with discontinuous coefficients by nonconforming finite elements
    • Azaïez M., Ben Belgacem F., El Fekih H., and Ismaïl M. Numerical simulation of the wave equation with discontinuous coefficients by nonconforming finite elements. Numer. Methods Partial Differ. Eq. 15 6 (1999) 637-656
    • (1999) Numer. Methods Partial Differ. Eq. , vol.15 , Issue.6 , pp. 637-656
    • Azaïez, M.1    Ben Belgacem, F.2    El Fekih, H.3    Ismaïl, M.4
  • 4
    • 34250459417 scopus 로고
    • The finite-element method with Lagrangian multipliers
    • Babuška I. The finite-element method with Lagrangian multipliers. Numer. Math. 20 (1973) 179-182
    • (1973) Numer. Math. , vol.20 , pp. 179-182
    • Babuška, I.1
  • 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 (1999) 173-197
    • (1999) Numer. Math. , vol.84 , pp. 173-197
    • Ben Belgacem, F.1
  • 6
    • 18444406904 scopus 로고    scopus 로고
    • A stabilized domain decomposition method with non-matching grids for the Stokes problem in three dimensions
    • Ben Belgacem F. A stabilized domain decomposition method with non-matching grids for the Stokes problem in three dimensions. SIAM J. Numer. Anal. 42 2 (2004) 667-685
    • (2004) SIAM J. Numer. Anal. , vol.42 , Issue.2 , pp. 667-685
    • Ben Belgacem, F.1
  • 7
    • 0005311960 scopus 로고    scopus 로고
    • The mortar element method for three dimensional finite element
    • Ben Belgacem F., and Maday Y. The mortar element method for three dimensional finite element. M2AN 31 (1997) 289-303
    • (1997) M2AN , vol.31 , pp. 289-303
    • Ben Belgacem, F.1    Maday, Y.2
  • 10
    • 0001023383 scopus 로고
    • Stability of finite elements under divergence constraint
    • Boland J., and Nicolaides R. Stability of finite elements under divergence constraint. SIAM Numer. Anal. 20 4 (1983) 722-731
    • (1983) SIAM Numer. Anal. , vol.20 , Issue.4 , pp. 722-731
    • Boland, J.1    Nicolaides, R.2
  • 11
    • 0022075675 scopus 로고
    • Stable and semistable low order finite elements for viscous flows
    • Boland J., and Nicolaides R.A. Stable and semistable low order finite elements for viscous flows. SIAM J. Numer. Anal. 22 (1985) 474-492
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 474-492
    • Boland, J.1    Nicolaides, R.A.2
  • 13
    • 2942670777 scopus 로고    scopus 로고
    • 1 vector fields
    • 1 vector fields. Math. Comput. 73 (2004) 1067-1087
    • (2004) Math. Comput. , vol.73 , pp. 1067-1087
    • Brenner, S.1
  • 14
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • Brezzi F. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. RAIRO Anal. Numer. Ser. Rouge 8 (1974) 129-151
    • (1974) RAIRO Anal. Numer. Ser. Rouge , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 15
    • 0035594451 scopus 로고    scopus 로고
    • Error estimates for the three-field formulation with bubble stabilization
    • Brezzi F., and Marini D. Error estimates for the three-field formulation with bubble stabilization. Math. Comput. 70 (2000) 911-934
    • (2000) Math. Comput. , vol.70 , pp. 911-934
    • Brezzi, F.1    Marini, D.2
  • 18
    • 20444461146 scopus 로고    scopus 로고
    • A new dual mortar method for curved interfaces: 2d elasticity
    • Flemisch B., Puso M.A., and Wohlmuth B. A new dual mortar method for curved interfaces: 2d elasticity. Int. J. Numer. Methods Engrg. 63 6 (2005) 813-832
    • (2005) Int. J. Numer. Methods Engrg. , vol.63 , Issue.6 , pp. 813-832
    • Flemisch, B.1    Puso, M.A.2    Wohlmuth, B.3
  • 19
    • 34548739059 scopus 로고    scopus 로고
    • B. Flemisch, B.I. Wohlmuth, Stable lagrange multipliers for quadrilateral meshes of curved interfaces in 3d. Technical report, Stuttgart University, July 2005.
  • 20
    • 34548802479 scopus 로고    scopus 로고
    • J. Gopalakrishnan, On the mortar finite element method, Ph.D. thesis, Texas A&M University, August 1999.
  • 21
    • 34548805567 scopus 로고    scopus 로고
    • P. Hauret, Méthodes numériques pour la dynamique des structures non-linéaires incompressibles à deux échelles (Numerical methods for the dynamic analysis of two-scale incompressible nonlinear structures), Ph.D. thesis, Ecole Polytechnique, 2004.
  • 22
    • 18144376701 scopus 로고    scopus 로고
    • A primal-dual active set strategy for non-linear multibody contact problems
    • Hüeber S., and Wohlmuth B.I. A primal-dual active set strategy for non-linear multibody contact problems. Comput. Methods Appl. Mech. Engrg. 194 (2005) 3147-3166
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 3147-3166
    • Hüeber, S.1    Wohlmuth, B.I.2
  • 23
    • 0035322507 scopus 로고    scopus 로고
    • Multiplier spaces for the mortar finite element method in three dimensions
    • Kim C., Lazarov R.D., Pasciak J.E., and Vassilevski P.S. Multiplier spaces for the mortar finite element method in three dimensions. SIAM J. Numer. Anal. 39 (2001) 519-538
    • (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
  • 25
    • 34548799776 scopus 로고    scopus 로고
    • B. Lamichhane, B.I. Wohlmuth, Biorthogonal bases with local support and approximation properties. Technical Report 2005-02, IANS, Stuttgart, 2005.
  • 26
    • 0042824298 scopus 로고    scopus 로고
    • The influence of quadrature formulas in 3d mortar methods
    • Recent Developments in Domain Decomposition Methods, Springer
    • Maday Y., Rapetti F., and Wohlmuth B. The influence of quadrature formulas in 3d mortar methods. Recent Developments in Domain Decomposition Methods. Lecture Notes in Computational Science and Engineering vol. 23 (2002), Springer 203-221
    • (2002) Lecture Notes in Computational Science and Engineering , vol.23 , pp. 203-221
    • Maday, Y.1    Rapetti, F.2    Wohlmuth, B.3
  • 28
    • 1442340228 scopus 로고    scopus 로고
    • A 3d mortar method for solid mechanics
    • Puso M.A. A 3d mortar method for solid mechanics. Int. J. Numer. Methods Engrg. 59 (2004) 315-336
    • (2004) Int. J. Numer. Methods Engrg. , vol.59 , pp. 315-336
    • Puso, M.A.1
  • 29
    • 0037143072 scopus 로고    scopus 로고
    • A 3d contact smoothing method using gregory patches
    • Puso M.A., and Laursen T.A. A 3d contact smoothing method using gregory patches. Int. J. Numer. Methods Engrg. 54 (2002) 1161-1194
    • (2002) Int. J. Numer. Methods Engrg. , vol.54 , pp. 1161-1194
    • Puso, M.A.1    Laursen, T.A.2
  • 30
    • 0037731216 scopus 로고    scopus 로고
    • Mesh tying on curved surfaces in 3d
    • Puso M.A., and Laursen T.A. Mesh tying on curved surfaces in 3d. Engrg. Comput. 20 (2003) 305-319
    • (2003) Engrg. Comput. , vol.20 , pp. 305-319
    • Puso, M.A.1    Laursen, T.A.2
  • 31
    • 34548754518 scopus 로고    scopus 로고
    • P. Seshaiyer, Non-conforming hp finite element methods, Ph.D. thesis, University of Maryland, 1998.
  • 32
    • 84968512389 scopus 로고
    • Analysis of mixed finite element methods for the Stokes problem: a unified approach
    • Stenberg R. Analysis of mixed finite element methods for the Stokes problem: a unified approach. Math. Comput. 42 (1984) 9-23
    • (1984) Math. Comput. , vol.42 , pp. 9-23
    • Stenberg, R.1
  • 33
    • 84966256275 scopus 로고
    • Error analysis of some finite element methods for the Stokes problem
    • Stenberg R. Error analysis of some finite element methods for the Stokes problem. Math. Comput. 54 (1990) 495-508
    • (1990) Math. Comput. , vol.54 , pp. 495-508
    • Stenberg, R.1
  • 34
    • 0025507123 scopus 로고
    • A technique for analysing finite element methods for viscous incompressible flow
    • Stenberg R. A technique for analysing finite element methods for viscous incompressible flow. Int. J. Numer. Methods Fluids 11 (1990) 935-948
    • (1990) Int. J. Numer. Methods Fluids , vol.11 , pp. 935-948
    • Stenberg, R.1
  • 35
    • 0034555195 scopus 로고    scopus 로고
    • Numeric analysis of a linearized fluid-structure interaction problem
    • Le Tallec P., and Mani S. Numeric analysis of a linearized fluid-structure interaction problem. Numer. Math. 87 (2000) 317-354
    • (2000) Numer. Math. , vol.87 , pp. 317-354
    • Le Tallec, P.1    Mani, S.2
  • 36
    • 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 (2000) 989-1012
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 989-1012
    • Wohlmuth, B.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.