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Solution of Poisson Equation using Isogeometric FormulationSolution of Poisson Equation using Isogeometric Formulation
- Other Titles
- Solution of Poisson Equation using Isogeometric Formulation
- Authors
- 이상진
- Issue Date
- 2011
- Publisher
- 대한건축학회
- Keywords
- Isogeometric Analysis; Poisson Equation; Partial Differential Equation; NURBS; Knot Vector; Control Point; Plate
- Citation
- Architectural Research, v.13, no.1, pp 17 - 24
- Pages
- 8
- Indexed
- KCI
- Journal Title
- Architectural Research
- Volume
- 13
- Number
- 1
- Start Page
- 17
- End Page
- 24
- ISSN
- 1229-6163
2383-5575
- Abstract
- Isogeometric solution of Poisson equation is provided. NURBS (Non-Uniform 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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