Mortar methods with curved interfaces

Applied Numerical Mathematics

Volumn 54, Issue 3-4, 2005, Pages 339-361

  Flemisch, B ^a   Melenk, J M ^b   Wohlmuth, B I ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b Max Planck Institut für Mathematik in den Naturwissenschaften   (Germany)

Author keywords

Curved interface; Curvilinear elements; Domain decomposition; Mortar method

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CURVE FITTING; ERRORS; LAGRANGE MULTIPLIERS; PIECEWISE LINEAR TECHNIQUES;

CURVED INTERFACE; CURVILINEAR ELEMENTS; DOMAIN DECOMPOSITION; MORTAR METHOD;

INTERFACES (COMPUTER);

EID: 20444471991     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2004.09.007     Document Type: Conference Paper

References (16)

1. R.A. Adams Sobolev Spaces 1975 Academic Press New York
2. F. Ben Belgacem The mortar finite element method with Lagrange multipliers Numer. Math. 84 2 1999 173 197
3. C. Bernardi Optimal finite element interpolation SIAM J. Numer. Anal. 26 5 1989 430 454
4. C. Bernardi, Y. Maday, and A.T. Patera Domain decomposition by the mortar element method H. Kaper Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters 1993 Reidel Dordrecht 269 286
5. C. Bernardi, Y. Maday, and A.T. Patera A new nonconforming approach to domain decomposition: The mortar element method H. Brezzi J.L. Lions Nonlinear Partial Differential Equations and their Applications 1994 Pitman New York 13 51
6. D. Braess, and W. Dahmen Stability estimates of the mortar finite element method for 3-dimensional problems East-West J. Numer. Math. 6 1998 249 263
7. F. Brezzi, and M. Fortin Mixed and Hybrid Finite Element Methods 1991 Springer Berlin
8. J. Gopalakrishnan, On the Mortar Finite Element Method, Ph.D. Thesis, Texas A&M University, August 1999
9. W.J. Gordon Blending-function methods of bivariate and multivariate interpolation and approximation SIAM J. Numer. Anal. 8 1973 158 177
10. W.J. Gordon, and Ch.A. Hall Construction of curvilinear co-ordinate systems and applications to mesh generation Internat. J. Numer. Methods Engrg. 7 1973 461 477
11. W.J. Gordon, and Ch.A. Hall Transfinite element methods: blending function interpolation over arbitrary curved element domains Numer. Math. 21 1973 109 129
12. P. Grisvard Elliptic Problems in Nonsmooth Domains 1985 Pitman London
13. J. Huang, and J. Zou A mortar element method for elliptic problems with discontinuous coefficients IMA J. Numer. Anal. 22 2002 549 576
14. J.M. Melenk, hp-interpolation of nonsmooth functions, Technical Report NI03050, Isaac Newton Institute for Mathematics Sciences, Cambridge, 2003
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 2 2001 519 538
16. B.I. Wohlmuth Discretization Methods and Iterative Solvers Based on Domain Decomposition Lecture Notes in Computer Science and Engineering vol. 17 2001 Springer Berlin