000016030 001__ 16030
000016030 005__ 20161115135336.0
000016030 04107 $$aeng
000016030 046__ $$k2013-06-12
000016030 100__ $$aKaratarakis, A.
000016030 24500 $$aStiffness Matrix Computation for Element Free Galerkin Methods on Gpu

000016030 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000016030 260__ $$bNational Technical University of Athens, 2013
000016030 506__ $$arestricted
000016030 520__ $$2eng$$aMeshless methods have a number of virtues in problems concerning crack growth and propagation, large displacements, strain localization and complex geometries, among other. Despite the fact that they do not rely on a mesh, meshless methods require a preliminary step for the identification of the correlation between nodes and Gauss points before building the stiffness matrix. This is implicitly performed with the mesh generation in FEM but must be explicitly done in EFG methods and can be time-consuming. Furthermore, the resulting matrices are more densely populated and the computational cost for the formulation and solution of the problem is much higher than the conventional FEM. This is mainly attributed to the vast increase in interactions between nodes and integration points due to their extended domains of influence. For these reasons, computing the stiffness matrix in EFG meshless methods is a very computationally demanding task which needs special attention in order to be affordable in real-world applications. In this paper, we address the pre-processing phase, dealing with the problem of defining the necessary correlations between nodes and Gauss points and between interacting nodes, as well as the computation of the stiffness matrix. A novel approach is proposed for the formulation of the stiffness matrix which exhibits several computational merits, one of which is its amenability to parallelization which allows the utilization of graphics processing units (GPUs) to accelerate computations.

000016030 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000016030 653__ $$aMeshless methods, Element Free Galerkin (EFG), preprocessing, stiffness matrix assembly, parallel computing, GPU acceleration

000016030 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000016030 720__ $$aKaratarakis, A.$$iMetsis, P.$$iPapadrakakis, M.
000016030 8560_ $$ffischerc@itam.cas.cz
000016030 8564_ $$s227633$$uhttps://invenio.itam.cas.cz/record/16030/files/2142.pdf$$yOriginal version of the author's contribution as presented on CD, section: SC-MS 01 MESHLESS METHODS
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000016030 962__ $$r15525
000016030 980__ $$aPAPER