Volume 2, Issue 2 (6-2012)
IJOCE 2012, 2(2): 247-271 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Shojaee S, Izadpenah E, Haeri A. IMPOSITION OF ESSENTIAL BOUNDARY CONDITIONS IN ISOGEOMETRIC ANALYSIS USING THE LAGRANGE MULTIPLIER METHOD. IJOCE 2012; 2 (2) :247-271
URL: http://ijoce.iust.ac.ir/article-1-90-en.html
URL: http://ijoce.iust.ac.ir/article-1-90-en.html
Abstract: (20280 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.
| Rights and permissions | |
 | This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
