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Solution of Poisson Equation using Isogeometric Formulation
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  • Journal title : Architectural research
  • Volume 13, Issue 1,  2011, pp.17-24
  • Publisher : Architectural Institute of Korea
  • DOI : 10.5659/AIKAR.2011.13.1.17
 Title & Authors
Solution of Poisson Equation using Isogeometric Formulation
Lee, Sang-Jin;
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 Abstract
Isogeometric solution of Poisson equation is provided. NURBS (NonUniform B-spline Surface) is introduced to express both geometry of structure and unknown field of governing equation. The terms of stiffness matrix and load vector are consistently derived with very accurate geometric definition. The validity of the isogeometric formulation is demonstrated by using two numerical examples such as square plate and L-shape plate. From numerical results, the present solutions have a good agreement with analytical and finite element (FE) solutions with the use of a few cells in isogeometric analysis.
 Keywords
Isogeometric Analysis;Poisson Equation;Partial Differential Equation;NURBS;Knot Vector;Control Point;Plate;
 Language
English
 Cited by
 References
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