Dynamics by Neil Rasband

By Neil Rasband

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ASME 129(2), 109–113 (2007) 26. X. C. F. Cheung, A grid-free, nonlinear shallow-water model with moving boundary. Eng. Anal. Boundary Elem. 28(8), 967–973 (2004) References 47 27. M. C. Roque, P. Martins, Radial basis functions and higher-order shear deformation theories in the analysis of laminated composite beams and plates. Compos. Struct. 66(1–4), 287–293 (2004) 28. M. C. N. Jorge, Static and free vibration analysis of composite shells by radial basis functions. Eng. Anal. Boundary Elem. 30(9), 719–733 (2006) 29.

4 The Method of Particular Solutions 35 where fbi g are the unknown coefficients, À NÁ1 ; N2 are, respectively, the number of the collocation knots on C1 and C2 , /h rj represents the fundamental solution, RBF general solution, or harmonic function of the homogeneous governing equation in Eq. 12). For more details of these functions satisfying homogeneous equation, please see Sect. 3. Then, substituting Eq. 19) into boundary condition in Eqs. 14), the unknown coefficients fbi g can be determined and the approximate homogeneous solution ^uh can be calculated via Eq.

Comput. Math. 23(1–2), 31–54 (2005) 66. J. Liu, N. H. Yao, A fast multipole accelerated method of fundamental solutions for potential problems. Eng. Anal. Boundary Elem. 29(11), 1016–1024 (2005) 67. C. K. B. J. R. C. R. Evans, Reconstruction and representation of 3D objects with radial basis functions. SIGGRAPH ’01 Proceedings of 28th annual conference on computer graphics and interactive techniques, ACM New York, 67–76 (2001) 68. M. Bebendorf, Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems (Springer, Berlin, 2008) 69.

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