The Approximate Integration in the Mortar Method Constraint

Lecture Notes in Computational Science and Engineering

Volumn 55, Issue , 2007, Pages 555-563

  Falletta, Silvia ^a  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

MORTAR;

CROSS POINT; DISCRETIZATIONS; ERROR ESTIMATES; MORTAR METHODS; WEAK CONTINUITY;

DOMAIN DECOMPOSITION METHODS;

EID: 64049112559     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-34469-8_69     Document Type: Article

References (6)

1. S. Bertoluzza and S. Falletta, An object-oriented implementation of the mortar method with approximate constraint, Tech. Rep. 10, Istituto di Matematica Applicata e Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Pavia, Italy, 2004.
2. S. Bertoluzza, S. Falletta, and V. Perrier, Wavelet/FEM coupling by the mortar method, in Recent Developments in Domain Decomposition Methods. Proceedings of the Workshop on Domain Decomposition, Zürich, Switzerland, vol. 23 of Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2002, pp. 119-132.
3. D. Braess and W. Dahmen, The mortar element method revisited-what are the right norms?, in Thirteenth international conference on domain decomposition, N. Debit, M. Garbey, R. Hoppe, J. Périaux, D. Keyes, and Y. Kuznetsov, eds., ddm. org, 2001, pp. 27-40.
4. L. Cazabeau, C. Lacour, and Y. Maday, Numerical quadratures and mortar methods, in Computational Science for the 21st Century, M.-O. Bristeau, G. Etgen, W. Fitzgibbon, J.-L. Lions, J. Périaux, and M. F. Wheeler, eds., John Wiley & Sons, 1997, pp. 119-128.
5. S. Falletta, Analysis of the mortar method with approximate integration: the effect of cross-points, Tech. Rep. 1298, Istitoto Analisi Numerica, Consiglio Nazionale delle Ricerche, Pavia, Italy, 2002.
6. Y. Maday, F. Rapetti, and B. Wohlmuth, The influence of quadrature formulas in 2D and 3D mortar element methods, in Recent Developments in Domain Decomposition Methods. Proceedings of the Workshop on Domain Decomposition, Zürich, Switzerland, L. F. Pavarino and A. Toselli, eds., vol. 23 of Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2002, pp. 203-221.