By Dominik Schillinger, Quanji Cai, Ralf-Peter Mundani, Ernst Rank (auth.), Michael Bader, Hans-Joachim Bungartz, Tobias Weinzierl (eds.)

This lawsuits quantity collects evaluate articles that summarize examine carried out on the Munich Centre of complex Computing (MAC) from 2008 to 2012. The articles handle the expanding hole among what could be attainable in Computational technological know-how and Engineering because of fresh advances in algorithms, undefined, and networks, and what can really be accomplished in perform; in addition they learn novel computing architectures, the place computation itself is a multifaceted approach, with knowledge or ubiquitous parallelism as a result of many-core structures being simply of the demanding situations confronted. subject matters hide either the methodological points of complex computing (algorithms, parallel computing, info exploration, software program engineering) and state of the art functions from the fields of chemistry, the geosciences, civil and mechanical engineering, etc., reflecting the hugely interdisciplinary nature of the Munich Centre of complicated Computing.

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The finite cell method: high order simulation of complex structures without meshing. In: Computational Structural Engineering, pp. 87–92. Springer, Dordrecht/New York (2009) 33. : Geometric modeling, isogeometric analysis and the finite cell method. Comput. Methods Appl. Mech. Eng. 249–250, 104–115 (2012) 34. : Rhinoceros – NURBS modeling for Windows (2012). com 35. : An Introduction to NURBS with Historical Perspective. Morgan Kaufmann, San Francisco (2001) 36. : The finite cell method for bone simulations: verification and validation.

Also fictitious domain methods [10] have been developed originally for fluid dynamics but are applied as well for structural dynamics [38]. The complex geometry is embedded in a simpler domain such as a square in 2D or a cube in 3D, and the original equation is replaced by an equation on this simpler domain by introducing jumping coefficients. g. The resulting system can be discretized either by finite differences, finite volumes, or finite elements. The drawback of the fictitious domain method in this simple form is that it allows only the modeling of rather simple boundary conditions such as homogeneous Dirichlet or Neumann boundary conditions.

It can be observed that the increase of p improves the reproduction of the geometrically nonlinear behavior of the foam. 7 Summary and Outlook The present contribution provided a review of recent developments of the finite cell method (FCM) for the analysis of complex structures. e. e. the smooth extension of solution fields beyond the physical domain as well as exponential rates of convergence in energy norm. We then summarized the concept of deformation resetting, which enables the extension of the FCM to nonlinear elasticity.

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