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Architectural Institute of Korea (대한건축학회)
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Solution of Poisson Equation using Isogeometric Formulation

  • Lee, Sang-Jin (ADOPT Research Group, Department of Architectural Engineering, Gyeongsang National University)
  • Received : 2010.07.03
  • Published : 2011.03.30
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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.

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References

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