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A Finite Pointset Method for Biharmonic Equation Based on Mixed Formulation
Published in World Scientific Publishing Co. Pte Ltd
2018
Volume: 15
   
Issue: 7
Abstract
In this paper, a meshless method based on finite point set is presented for solving the biharmonic equation with simply supported boundary condition. The biharmonic equation is split into a coupled system of two Poisson equations by introducing an intermediate function. The system of two Poisson equations is then solved by finite pointset method. This method is a local iterative method based on the weighted least square approximation. The advantage of this method is that two resultant of sizes only 6 × 6 matrices are solved at each particle for the original and intermediate solution. Numerical results indicate a good accuracy of the finite pointset method. © 2018 World Scientific Publishing Company.
About the journal
JournalInternational Journal of Computational Methods
PublisherWorld Scientific Publishing Co. Pte Ltd
ISSN02198762
Open AccessNo
Concepts (12)
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    Iterative methods
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    Least squares approximations
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    Numerical methods
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    Biharmonic equations
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    FINITE POINTSET METHOD
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    INTERMEDIATE FUNCTION
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    MESH-LESS METHODS
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    MIXED FORMULATIONS
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    Numerical results
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    Simply supported
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    WEIGHTED LEAST SQUARES
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    Poisson equation