Method of fundamental solutions for 3D elasticity with body forces by coupling compactly supported radial basis functions
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Hui Wang | Cheuk-Yu Lee | Qing-Hua Qin | Q. Qin | Hui Wang | Cheuk-Yu Lee
[1] J. Barber,et al. Three-Dimensional Elasticity Solutions for Isotropic and Generally Anisotropic Bodies , 2006 .
[2] Martin D. Buhmann,et al. Radial Basis Functions: Theory and Implementations: Preface , 2003 .
[3] Robert E. Tarjan,et al. Algorithmic Aspects of Vertex Elimination on Graphs , 1976, SIAM J. Comput..
[4] Holger Wendland,et al. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree , 1995, Adv. Comput. Math..
[5] Hokwon A. Cho,et al. Some comments on the ill-conditioning of the method of fundamental solutions , 2006 .
[6] Mahadevan Ganesh,et al. Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions , 2000 .
[7] Timothy A. Davis,et al. Direct methods for sparse linear systems , 2006, Fundamentals of algorithms.
[8] Y. Fung. Foundations of solid mechanics , 1965 .
[9] Holger Wendland,et al. Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree , 1998 .
[10] T. Kitagawa,et al. Asymptotic stability of the fundamental solution method , 1991 .
[11] Q. Qin,et al. Nonlinear analysis of reissner plates on an elastic foundation by the BEM , 1993 .
[12] A. H. Sherman,et al. Comparative Analysis of the Cuthill–McKee and the Reverse Cuthill–McKee Ordering Algorithms for Sparse Matrices , 1976 .
[13] Qing Hua Qin,et al. Meshless approach for thermo-mechanical analysis of functionally graded materials , 2008 .
[14] Y. Mai,et al. Some problems in plane thermopiezoelectric materials with holes , 1999 .
[15] Qing Hua Qin,et al. Some problems with the method of fundamental solution using radial basis functions , 2007 .
[16] Holger Wendland,et al. Scattered Data Approximation: Conditionally positive definite functions , 2004 .
[17] C. S. Chen,et al. Some comments on the use of radial basis functions in the dual reciprocity method , 1998 .
[18] D. L. Young,et al. Meshless BEM for Three-dimensional Stokes Flows , 2002 .
[19] S. Christiansen,et al. Condition number of matrices derived from two classes of integral equations , 1981 .
[20] Martin H. Sadd,et al. Elasticity: Theory, Applications, and Numerics , 2004 .
[21] S. B. Dong,et al. An extended meshfree method for boundary value problems , 2004 .
[22] K. Bathe. Finite Element Procedures , 1995 .
[23] Qing Hua Qin,et al. The Trefftz Finite and Boundary Element Method , 2000 .
[24] C. J. Coleman,et al. An effective boundary element method for inhomogeneous partial differential equations , 1991 .
[25] Qing Hua Qin,et al. Crack growth prediction of an inclined crack in a half-plane thermopiezoelectric solid , 1997 .
[26] Patrick R. Amestoy,et al. An Approximate Minimum Degree Ordering Algorithm , 1996, SIAM J. Matrix Anal. Appl..
[27] R. Piltner. The use of complex valued functions for the solution of three-dimensional elasticity problems , 1987 .
[28] P. W. Partridge,et al. The dual reciprocity boundary element method , 1991 .
[29] C. Brebbia,et al. A new approach to free vibration analysis using boundary elements , 1983 .
[30] A. George. Nested Dissection of a Regular Finite Element Mesh , 1973 .
[31] Gennady Mishuris,et al. Radial basis functions for solving near singular Poisson problems , 2003 .
[32] V. Popov,et al. Tests of radial basis functions in the 3D DRM-MD , 2005 .
[33] Qing Hua Qin,et al. MATLAB and C Programming for Trefftz Finite Element Methods , 2008 .
[34] Dongdong Wang,et al. Extended meshfree analysis of transverse and inplane loading of a laminated anisotropic plate of general planform geometry , 2006 .
[35] Y. Rashed,et al. The Method of Fundamental Solutions applied to 3D structures with body forces using particular solutions , 2005 .
[36] Qing-Hua Qin,et al. Variational formulations for TFEM of piezoelectricity , 2003 .
[37] D. L. Young,et al. Short Note: The method of fundamental solutions for 2D and 3D Stokes problems , 2006 .
[38] G. Georgiou,et al. The method of fundamental solutions for three-dimensional elastostatics problems , 2002 .
[39] Y. Rashed. BEM for dynamic analysis using compact supported radial basis functions , 2002 .
[40] H. Markowitz. The Elimination form of the Inverse and its Application to Linear Programming , 1957 .
[41] Trefftz fnctions and application to 3D elasticity , 2008 .
[42] Q. Qin,et al. Crack deflection at an interface between dissimilar piezoelectric materials , 2000 .
[43] Timo Betcke,et al. Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains , 2007, J. Comput. Phys..