Piotr Breitkopf

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The parallel multiple front method, is used in mechanical engineering to solve large sparse linear systems issued, from finite element modeling. It is a parallel direct method, based, on a nonoverlapping domain decomposition method. The decomposition is usually built with a graph partitioning approach. However this approach is not well suited, to all(More)
Multi-processor HPC tools have become commonplace in industry and research today. Evolutionary algorithms may be elegantly parallelized by broadcasting a whole population of designs to an array of processors in a computing cluster or grid. However, issues arise due to synchronization barriers: subsequent iterations have to wait for the successful execution(More)
From numerical point of view, analysis and optimization in computational material engineering require efficient approaches for microstructure representation. This paper develops an approach to establish an image-based interpolation model in order to efficiently parameterize microstructures of a representative volume element (RVE), based on proper orthogonal(More)
In this paper, we propose a simultaneous meta-modeling protocol for both input and output spaces. We perform a reparametrization of the input space using constrained shape interpolation by introducing the concept of an α-manifold of admissible meshed shapes. The output space is reduced using constrained Proper Orthogonal Decomposition. By simultaneously(More)
We present a method to adapt a tetrahedron mesh together with a surface mesh with respect to a size criterion. Both surface and tetrahedron mesh adaptation are carried out simultaneously and no CAD is required to adapt the surface mesh. The adaptation procedure consists in splitting or removing interior and surface edges in order to enforce a given size(More)