Finite Element Analysis of Multi-Component Assemblies: CAD-Based Domain Decomposition
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- Gostaf K.P., Pironneau O., Roux FX. (2014) Finite Element Analysis of Multi-Component Assemblies: CAD-Based Domain Decomposition. In: Erhel J., Gander M., Halpern L., Pichot G., Sassi T., Widlund O. (eds) Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, vol 98. Springer, Cham
We apply domain decomposition to carry out finite element simulations of multi-component computer aided design (CAD) assemblies. The novelty of our research is the CAD-based domain decomposition. We consider design parts as independent sub-domains and reuse assembly topology to define regions, where the interface boundary conditions should be applied. The Dirichlet–Neumann (Funaro et al., SIAM J. Numer. Anal. 25, 1213–1236, 1988), Neumann–Neumann (Tallec et al., J. Comput. Appl. Math. 34, 93–117, 1991) and FETI (Farhat and Roux, Int. J. Numer. Methods Eng. 32, 1205–1227, 1991) methods for non-matching triangulations have been studied. We endorse the proposed framework with numerical experiments and we focus on the essence of its parallel implementation.