A Nitsche‐type formulation and comparison of the most common domain decomposition methods in isogeometric analysis
作者： Andreas Apostolatos , Robert Schmidt , Roland Wüchner , Kai-Uwe Bletzinger
DOI: 10.1002/NME.4568
关键词:
摘要: This paper provides a detailed elaboration and assessment of the most common domain decomposition methods for their application in isogeometric analysis. The comprise penalty approach, Lagrange multiplier methods, Nitsche-type method. For Nitsche method, new stabilized formulation is developed context analysis to guarantee coercivity. All these are investigated on problems linear elasticity eigenfrequency 2D. In particular, focus put non-uniform rational B-spline patches which join nonconformingly along interface. Thus, extended multi-patches, can have an arbitrary parametrization adjacent edges. Moreover, it has been shown that unique properties provided by analysis, is, high-order functions smoothness across element boundaries, carry over multiple domains. Copyright © 2013 John Wiley & Sons, Ltd.
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