Adaptive hierarchical isogeometric finite element methods
著者
書誌事項
Adaptive hierarchical isogeometric finite element methods
(Research)
Springer Spektrum , Vieweg + Teubner, c2012
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注記
Includes bibliographical references
内容説明・目次
内容説明
Isogeometric finite elements combine the numerical solution of partial differential 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 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.
目次
Introduction.- Prerequisites from Applied Geometry and Spline Theory. - Mathematical Models and Finite Element Analysis. - Isogeometric Analysis. - Local Refinement for Isogeometric Analysis. - Conclusions.
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