Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept.
暂无分享,去创建一个
Ying-Te Lee | Jeng-Tzong Chen | Jeng-Tzong Chen | Ying-Te Lee | S. Yu | S. Shieh | Shang-Ru Yu | Shiang-Chih Shieh
[1] Graeme Fairweather,et al. The method of fundamental solutions for axisymmetric potential problems , 1999 .
[2] W. Ang,et al. A numerical Green's function for multiple cracks in anisotropic bodies , 2004 .
[3] G. Fairweather,et al. THE SIMPLE LAYER POTENTIAL METHOD OF FUNDAMENTAL SOLUTIONS FOR CERTAIN BIHARMONIC PROBLEMS , 1989 .
[4] Isotropic Clamped-Free Thin Annular Circular Plate Subjected to a Concentrated Load , 2006 .
[5] J. Telles,et al. A numerical green's function approach for boundary elements applied to fracture mechanics , 1995 .
[6] A. Cheng,et al. Trefftz and Collocation Methods , 2008 .
[7] I. Saavedra,et al. Multipole fast algorithm for the least‐squares approach of the method of fundamental solutions for three‐dimensional harmonic problems , 2003 .
[8] Graeme Fairweather,et al. The method of fundamental solutions for elliptic boundary value problems , 1998, Adv. Comput. Math..
[9] Chein-Shan Liu,et al. An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length. , 2007 .
[10] Bruno A. Boley,et al. A method for the construction of Green’s functions , 1956 .
[11] O. C. Zienkiewicz,et al. Trefftz method for Kirchhoff plate bending problems , 1993 .
[12] O. C. Zienkiewicz,et al. Application of the Trefftz method in plane elasticity problems , 1990 .
[13] Graeme Fairweather,et al. The Almansi method of fundamental solutions for solving biharmonic problems , 1988 .
[14] Yu. A. Melnikov. Green's Functions in applied mechanics , 1995 .
[15] J. Jirousek,et al. T-elements: State of the art and future trends , 1996 .
[16] J. Chen,et al. Alternative derivations for the Poisson integral formula , 2006 .
[17] Y. T. Lee,et al. On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations , 2007, Comput. Math. Appl..
[18] Dr. M. G. Worster. Methods of Mathematical Physics , 1947, Nature.
[19] V. D. Kupradze,et al. A method for the approximate solution of limiting problems in mathematical physics , 1964 .
[20] W. Godwin. Article in Press , 2000 .
[21] Graeme Fairweather,et al. The method of fundamental solutions for the numerical solution of the biharmonic equation , 1987 .
[22] S. Guimarães,et al. General Application of Numerical Green's Functions for SIF Computations With Boundary Elements , 2000 .
[23] Carlos J. S. Alves,et al. The Method of Fundamental Solutions Applied to the Calculation of Eigenfrequencies and Eigenmodes of 2D Simply Connected Shapes , 2005 .
[24] Weichung Yeih,et al. Applications of the direct Trefftz boundary element method to the free-vibration problem of a membrane. , 2002, The Journal of the Acoustical Society of America.
[25] E. Kita,et al. Trefftz method: an overview , 1995 .
[26] R. Schaback. Adaptive Numerical Solution of MFS Systems , 2007 .
[27] Carlos J. S. Alves,et al. The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates , 2009 .
[28] Modified Potentials as a Tool for Computing Green's Functions in Continuum Mechanics , 2001 .
[29] C. Zheng,et al. Engineering Analysis with Boundary Elements , 2017 .
[30] A. Bogomolny. Fundamental Solutions Method for Elliptic Boundary Value Problems , 1985 .
[31] Y. Cheung,et al. Trefftz direct method , 1995 .