Titlebook: Adaptive Hierarchical Isogeometric Finite Element Methods; Anh-Vu Vuong Book 2012 Springer Spektrum Verlag | Springer Fachmedien Wiesbaden

ANNUL

https://doi.org/10.1007/978-3-8349-8397-8reate a basis with desirable properties, but also add an element concept that is suitable for the simulation setting and extendable to more advanced techniques like error estimation. It is very crucial at this point that we have taken both aspects, applied geometry and numerical analysis, into account.

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https://doi.org/10.1007/978-3-8349-9755-5ing B-splines. Based on this we illustrated the implementation and further techniques for increasing efficiency. Simulation examples in two and three dimensions that demonstrate the capabilities of isogeometric analysis were shown.

periodontitis

ntial equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient

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Book 2012e elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.

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978-3-8348-2444-8Springer Spektrum Verlag | Springer Fachmedien Wiesbaden GmbH 2012

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Adam Abidin,Jenny H. Panchal,K. Thirumaranwill begin with mathematical models and the governing partial differential equations. These will be altered to obtain variational formulations, which are fundamental for the numerical solution process either with finite elements or isogeometric analysis. Two sections in this chapter are devoted to t