By Dominik Schillinger, Quanji Cai, Ralf-Peter Mundani, Ernst Rank (auth.), Michael Bader, Hans-Joachim Bungartz, Tobias Weinzierl (eds.)
This complaints quantity collects evaluate articles that summarize study carried out on the Munich Centre of complex Computing (MAC) from 2008 to 2012. The articles tackle the expanding hole among what could be attainable in Computational technology and Engineering because of contemporary advances in algorithms, undefined, and networks, and what can truly be accomplished in perform; in addition they study novel computing architectures, the place computation itself is a multifaceted strategy, with understanding or ubiquitous parallelism because of many-core structures being simply of the demanding situations confronted. issues disguise either the methodological elements of complicated computing (algorithms, parallel computing, info exploration, software program engineering) and state of the art purposes from the fields of chemistry, the geosciences, civil and mechanical engineering, etc., reflecting the hugely interdisciplinary nature of the Munich Centre of complex Computing.
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10, 012170 (2010) 41. : An unfitted hp adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. Comput. Methods Appl. Mech. Eng. 200(47–48), 3358–3380 (2011) 42. : The finite cell method for large deformation analysis. In: Proceedings in Applied Mathematics and Mechanics, vol. 11, pp. 271–272 (2011) 43. : An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces.
With n D 8, we achieved a strong speed up of the loop of around 5. In addition, we would like to mention here that a very fast variant of the FCM has been developed (see [22, 23, 50, 51]), relying on pre-integration of sub-element matrices. This implementation is up to three orders of magnitude faster than the FCM based on standard quadrature described herein, and thus allows even for real-time simulations of complex 3D structures. The resulting von Mises stresses shown in Fig. 16 exhibit accurate localization of stress concentrations at the convex sides of the foam members, which agrees well with engineering experience.
Sundance does not implement an own visualization functionality but offers output functions writing the results in several standard formats suitable for different standard softwares such as VTK , ExodusII , and Matlab . 5 Cartesian Grids and Their Implementation in Sundance Introduction of and General Remarks on Cartesian Grids. In contrast to unstructured grids, tree-structured adaptive Cartesian grids have the advantage of being highly efficient in terms of storage requirements. Whereas for an unstructured grid all elements, faces, edges, nodes, and, in particular, their relations have to be stored explicitly, our Cartesian grids are defined by the chosen tree-structure such that the only information that has to be stored is whether a grid cell is further refined or not.