Free access
Volume 38, Number 1, January-February 2004
Page(s) 73 - 92
Published online 15 February 2004
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  2. F. Ben Belgacem, The mortar finite element method with Lagrange multipliers. Numer. Math. 84 (1999) 173–197. [CrossRef] [MathSciNet]
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  6. C. Bernardi, Y. Maday and A.T. Patera, A new nonconforming approach to domain decomposition: the mortar element method, in Nonlinear partial differential equations and their applications, H. Brezzi and J.-L. Lions Eds., Pitman, Paris (1994) 13–51.
  7. D. Braess and W. Dahmen, Stability estimates of the mortar finite element method for 3–dimensional problems. East–West J. Numer. Math. 6 (1998) 249–264.
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  11. F. Brezzi and D. Marini, Error estimates for the three-field formulation with bubble stabilization. Math. Comp 70 (2001) 911–934. [CrossRef] [MathSciNet]
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  13. A. Buffa, Error estimate for a stabilised domain decomposition method with nonmatching grids. Numer. Math. 90 (2002) 617–640. [CrossRef] [MathSciNet]
  14. J. Gopalakrishnan, On the mortar finite element method. Ph.D. thesis, Texas A&M University (1999).
  15. C. Kim, R.D. Lazarov, J.E. Pasciak and P.S. Vassilevski, Multiplier spaces for the mortar finite element method in three dimensions. SIAM J. Numer. Anal. 39 (2000) 519–538. [CrossRef] [MathSciNet]
  16. B.P. Lamichhane and B.I. Wohlmuth, Higher order dual Lagrange multiplier spaces for mortar finite element discretizations. CALCOLO 39 (2002) 219–237. [CrossRef] [MathSciNet]
  17. P. Seshaiyer and M. Suri, Uniform hp convergence results for the mortar finite element method. Math. of Comput. 69 (2000) 521–546. [CrossRef]
  18. R. Stevenson, Locally supported, piecewise polynomial biorthogonal wavelets on non-uniform meshes. Constr. Approx. 19 (2003) 477–508. [CrossRef] [MathSciNet]
  19. C. Wieners and B.I. Wohlmuth, The coupling of mixed and conforming finite element discretizations, in Proc. of the 10th International Conference on Domain Decomposition, J. Mandel, C. Farhat and X. Cai Eds., AMS, Contemp. Math. (1998) 546–553.
  20. C. Wieners and B.I. Wohlmuth, Duality estimates and multigrid analysis for saddle point problems arising from mortar discretizations. SISC 24 (2003) 2163–2184.
  21. B.I. Wohlmuth, Discretization Methods and Iterative Solvers Based on Domain Decomposition. Lect. Notes Comput. Sci. 17, Springer, Heidelberg (2001).
  22. B.I. Wohlmuth and R.H. Krause, Multigrid methods based on the unconstrained product space arising from mortar finite element discretizations. SIAM J. Numer. Anal. 39 (2001) 192–213. [CrossRef] [MathSciNet]

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