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Boundary Particle Method with High-Order Trefftz Functions

Wen Chen1,2, Zhuo-Jia Fu1,3, Qing-Hua Qin3
Center for Numerical Simulation Software in Engineering and Sciences, Department of Engineering Mechanics, Hohai University, Nanjing, Jiangsu, P.R.China
Corresponding author. E-mail:
School of Engineering, Building 32, Australian National University, Canberra, ACT 0200, Australia

Computers, Materials & Continua 2009, 13(3), 201-218.


This paper presents high-order Trefftz functions for some commonly used differential operators. These Trefftz functions are then used to construct boundary particle method for solving inhomogeneous problems with the boundary discretization only, i.e., no inner nodes and mesh are required in forming the final linear equation system. It should be mentioned that the presented Trefftz functions are nonsingular and avoids the singularity occurred in the fundamental solution and, in particular, have no problem-dependent parameter. Numerical experiments demonstrate the efficiency and accuracy of the present scheme in the solution of inhomogeneous problems.


High-order Trefftz functions, boundary particle method, inhomogeneous problems, meshfree

Cite This Article

W. . Chen, Z. . Fu and G. . Qin, "Boundary particle method with high-order trefftz functions," Computers, Materials & Continua, vol. 13, no.3, pp. 201–218, 2009.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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