Piotr Breitkopf

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In this paper, we propose a method to identify, on a mesh, geometric primitives commonly used in mechanical parts (plane, sphere, cylinder, torus, cone) in order to improve the quality of the surface remeshing. We have already presented techniques to adapt an existing surface mesh based on a mesh-free technique denoted as diffuse interpolation. In this(More)
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)
Finite element analysis of 3D phenomena gives as a result a set of function values specified on the nodes of the mesh. Various modes of graphical representation of such results are possible, including contour plots on cross-sections and surfaces of constant field values. In this paper, we propose an algorithm for the generation of such models. The(More)
Engineering design problems generally involve a high-dimensional input space of design variables yielding an output space by means of costly high-fidelity evaluations. In order to decrease the overall cost, reducedorder models for the output space such as Proper Orthogonal Decomposition (POD) and proper Generalized Decomposition (PGD) are an active area of(More)