Volume 2, Number 2 (6-2012)                   2012, 2(2): 247-271 | Back to browse issues page

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Shojaee S, Izadpenah E, Haeri A. IMPOSITION OF ESSENTIAL BOUNDARY CONDITIONS IN ISOGEOMETRIC ANALYSIS USING THE LAGRANGE MULTIPLIER METHOD. International Journal of Optimization in Civil Engineering. 2012; 2 (2) :247-271
URL: http://ijoce.iust.ac.ir/article-1-90-en.html

Abstract:   (3790 Views)
NURBS-based isogeometric analysis (IGA) has currently been applied as a new numerical method in a considerable range of engineering problems. Due to non-interpolatory characteristic of NURBS basis functions, the properties of Kronecker Delta are not satisfied in IGA, and as a consequence, the imposition of essential boundary condition needs special treatment. The main contribution of this study is to use the well-known Lagrange multiplier method to impose essential boundary conditions for improving the accuracy of the isogeometric solution. Unlike the direct and transformation methods which are based on separation of control points, this method is capable of modeling incomplete Dirichlet boundaries. The solution accuracy and convergence rates of proposed method are compared with direct and transformation methods through various numerical examples.
Full-Text [PDF 457 kb]   (2009 Downloads)    
Type of Study: Research | Subject: Optimal design
Received: 2012/06/13

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