hp submeshing via non-conforming finite element methods

Computer Methods in Applied Mechanics and Engineering

Volumn 189, Issue 3, 2000, Pages 1011-1030

  Seshaiyer, Padmanabhan ^a   Suri, Manil ^a  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

DISCRETIZATION; MORTAR FINITE ELEMENT METHOD;

FINITE ELEMENT METHOD;

EID: 0034274060     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00414-4     Document Type: Article

References (22)

1. M.A. Aminpour, S.L. McClearly, J.B. Ransom, A global/local analysis method for treating details in structural design, in: Proceedings of the Third NASA Advanced Composites Technology Conference NASA CP-3178, vol. 1, Part 2, 1992, pp. 967–986
2. I. Babuska R.B. Kellog J. Pitkaranta Direct and inverse error estimates for finite elements with mesh refinement Numer. Math. 33 1979 447 471
3. I. Babuška M. Suri The p and h – p versions of the finite element method: basic principles and properties SIAM Rev. 36 1994 578 632
4. F.B. Belgacem, The mortar finite element method with Lagrange Multipliers, Numer. Math., 2000 (to appear)
5. F.B. Belgacem Y. Maday Non-conforming spectral element methodology tuned to parallel implementation Comput. Meth. Appl. Mech. Engrg. 116 1994 59 67
6. 2AN, 2000 (to appear)
7. C. Bernardi, Y. Maday, A.T. Patera, Domain decomposition by the mortar element method, in: H.G. Kaper, M. Garbey (Eds.), Asymptotic and Numerical Methods for PDEs with Critical Parameters, 1993, pp. 269–286
8. F. Brezzi, L.D. Marini, Macro hybrid elements and domain decomposition methods, Proc. Colloque en l'honneur du 60eme anniversaire de Jean Cea, Sophia-Antipolis, 1992
9. M. Cassarin O.B. Widlund A heirarchical preconditioner for the mortar finite element method ETNA, Electron. Trans. Numer. Anal. 4 1996 75 88
10. P.G. Ciarlet The Finite Element Method for Elliptic Problems 1978 North-Holland Amsterdam
11. M. Dauge, Elliptic boundary value problems on corner domains, Lecture Notes in Mathematics, vol. 1341, Springer, New York, 1988
12. L. Demkowicz J.T. Oden W. Rachowicz O. Hardy Toward a universal h – p adaptive element strategy, Part I: constrained approximation and data structure Comput. Methods Appl. Mech. Engrg. 77 1989 79 113
13. M. Dorr, On the discretization of inter-domain coupling in elliptic boundary-value problems via the p version of the finite element method, in: T.F. Chan, R. Glowinski, J. Periaux, O.B. Widlund (Eds.), Domain Decomposition methods, SIAM, 1989
14. W. Gui I. Babuška The hp version of the finite element method in one dimension Numer. Math. 3 1986 577 657
15. B. Guo, I. Babuška, The hp version of the finite element method, Parts 1 and 2 Comput. Mech. 1 (1986) 21–41; 203–220
16. J.T. Oden, A. Patra, Y. Fend, Domain decomposition for adaptive hp finite element methods, Contemporary Mathematics, vol. 180, AMS, Providence, RI, 1994, pp. 295–301
17. P.A. Raviart J.M. Thomas Primal hybrid finite element methods for 2nd order elliptic equations Math. Comp. 31 1977 391 396
18. P. Seshaiyer, Non-Conforming hp finite element methods, Ph.D. Dissertation, University of Maryland Baltimore County, 1998
19. P. Seshaiyer, M. Suri, Uniform hp convergence results for the mortar finite element method, Math. Comp., 2000 (to appear)
20. J.E. Schiermeier, J.M. Housner, M.A. Aminpour, W.J. Stroud, The application of interface elements to dissimilar meshes in global/local analysis, in: Proceedings of the 1996 MSC World Users' Conference, 1996
21. J.E. Schiermeier, J.M. Housner, M.A. Aminpour, W.J. Stroud, Interface elements in global/local analysis – Part 2: Surface interface elements, in: Proceedings of the 1997 MSC World Users' Conference, 1997
22. H. Swann On the use of Lagrange Multipliers in domain decomposition for solving elliptic problems Math. Comp. 60 1993 49 78