User: Guest  Login
Document type:
Zeitschriftenaufsatz 
Author(s):
Apostolatos, A.; Schmidt, R.; Wüchner, R.; Bletzinger, K.-U. 
Title:
A Nitsche-type formulation and comparison of the most common domain decomposition methods in isogeometric analysis 
Abstract:
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 © 2013 John Wiley & Sons, Ltd. 
Keywords:
domain decomposition methods; isogeometric analysis; nonconforming NURBS multi-patches; Nitsche-type formulation 
Journal title:
International Journal for Numerical Methods in Engineering 
Year:
2014 
Journal volume:
97 
Year / month:
2014-02 
Month:
Feb 
Journal issue:
Pages contribution:
473-504 
Reviewed:
ja 
Language:
en 
Publisher:
John Wiley & Sons 
Status:
Verlagsversion / published