期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 97, 期 7, 页码 473-504出版社
WILEY
DOI: 10.1002/nme.4568
关键词
domain decomposition methods; isogeometric analysis; nonconforming NURBS multi-patches; Nitsche-type formulation
资金
- Deutsche Forschungsgemeinschaft (DFG)
- International Graduate School of Science and Engineering (IGSSE) at the Technische Universitat Munchen of the German Excellence Initiative
This paper provides a detailed elaboration and assessment of the most common domain decomposition methods for their application in isogeometric analysis. The methods comprise a penalty approach, Lagrange multiplier methods, and a Nitsche-type method. For the Nitsche method, a new stabilized formulation is developed in the context of isogeometric analysis to guarantee coercivity. All these methods are investigated on problems of linear elasticity and eigenfrequency analysis in 2D. In particular, focus is put on non-uniform rational B-spline patches which join nonconformingly along their common interface. Thus, the application of isogeometric analysis is extended to multi-patches, which can have an arbitrary parametrization on the adjacent edges. Moreover, it has been shown that the unique properties provided by isogeometric analysis, that is, high-order functions and smoothness across the element boundaries, carry over for the analysis of multiple domains. Copyright (c) 2013 John Wiley & Sons, Ltd.
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