Author:
Puso Michael A.,Laursen Tod A.
Abstract
In this work, a mortar method is implemented for tying arbitrary dissimilar 3D meshes, i.e. 3D meshes with curved, non‐matching interfaces. The 3D method requires approximations to the surface integrals specified by the projection of the displacement jump across the interface onto the Lagrange multiplier space. The numerical integration scheme is presented and several Lagrange multiplier interpolation schemes are considered. Furthermore, some implementational issues such as how to handle boundary conditions will be described such that stability is retained. Finally, the implementation will be demonstrated in numerical simulations and comparison of different formulations will be made.
Subject
Computational Theory and Mathematics,Computer Science Applications,General Engineering,Software
Reference15 articles.
1. Aminpour, M., Ransom, J. and McCleary, S. (1995), “A coupled analysis method for structures with independently modelled finite element subdomains”, International Journal for Numerical Methods in Engineering, Vol. 38, pp. 3695–718.
2. Belgacem, F. and Maday, Y. (1997), “The mortar element method for three dimensional finite elements”, Rairo–Mathematical Modeling and Numerical Analysis, Vol. 31, pp. 289–302.
3. Belgacem, F., Hild, P. and Laborde, P. (1999), “The mortar finite element method with Lagrange multipliers”, Numerische Mathematik, Vol. 84, pp. 173–97.
4. Bernardi, C., Maday, Y. and Patera, A. (1992), “A new nonconforming approach to domain decomposition: the mortar element method”, in Brezia, H. and Lions, J. (Eds), Nonlinear Partial Differential Equations and Their Applications, Pitman and Wiley, pp. 13–51.
5. Brezzi, F. and Fortin, M. (1991), Mixed and Hybrid Finite Element Methods, Springer‐Verlag, New York.
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