Paper published in a book (Scientific congresses and symposiums)
Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation
Nguyen, Van Dung; Béchet, Eric; Geuzaine, Christopheet al.
2011 • In Hogge, Michel; Van Keer, Roger; Dick, Eriket al. (Eds.) Proceedings of the 5th International Conference on Advanded COmputational Methods in Engineering (ACOMEN2011)
[en] In order to predict the effective properties of heterogeneous materials using the finite element
approach, a boundary value problem (BVP) may be defined on a representative volume element
(RVE) with appropriate boundary conditions, among which periodic boundary condition is the most
efficient in terms of convergence rate. The classical method to impose the periodic boundary condition requires identical meshes on opposite RVE boundaries. This condition is not always easy to satisfy for arbitrary meshes. This work develops a new method based on polynomial interpolation that avoids the need of the identical mesh condition on opposite RVE boundaries.
Les recherches ont été financées grâce à la subvention ”Actions de recherche concertées ARC 09/14-02 BRIDGING - From imaging to geometrical modelling of complex micro structured materials: Bridging computational engineering and material science” de la Direction générale de l’Enseignement non obligatoire de la Recherche scientifique, Direction de la Recherche scientifique, Communauté française de Belgique, et octroyées par l’Académie Universitaire Wallonie-Europe
