A High Accurate Simulation of Thin Plate Problems By Using the Method of Approximate Particular Solutions With High Order Polynomial Basis
Document Type
Article
Publication Date
9-1-2018
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
In this paper, a closed-form particular solution of polyharmonic splines has been obtained for high order partial differential operators. Instead of using complex derivation, the new particular solution is derived simply by adding or subtracting several available particular solutions. The proposed particular solution is further coupled with polynomial basis for numerically solving thin plate problems. The relationship between number of nodes and order of polynomials are fully studied. Numerical examples with irregular domains are presented to demonstrate the effectiveness of the proposed algorithm.
Publication Title
Engineering Analysis With Boundary Elements
Volume
94
First Page
153
Last Page
158
Recommended Citation
Xiong, J.,
Jiang, P.,
Zheng, H.,
Chen, C.
(2018). A High Accurate Simulation of Thin Plate Problems By Using the Method of Approximate Particular Solutions With High Order Polynomial Basis. Engineering Analysis With Boundary Elements, 94, 153-158.
Available at: https://aquila.usm.edu/fac_pubs/16981