On the choice of source points in the method of fundamental solutions
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[1] L. Hörmander. Linear Partial Differential Operators , 1963 .
[2] Timo Betcke,et al. Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains , 2007, J. Comput. Phys..
[3] A. Bogomolny. Fundamental Solutions Method for Elliptic Boundary Value Problems , 1985 .
[4] E. Kansa. Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .
[5] G. Fairweather,et al. The Method of Fundamental Solutions for the Solution of Nonlinear Plane Potential Problems , 1989 .
[6] Carlos J. S. Alves,et al. Numerical comparison of two meshfree methods for acoustic wave scattering , 2005 .
[7] R. Kress. Linear Integral Equations , 1989 .
[8] Robert Schaback,et al. Error estimates and condition numbers for radial basis function interpolation , 1995, Adv. Comput. Math..
[9] C. S. Chen,et al. A new method of fundamental solutions applied to nonhomogeneous elliptic problems , 2005, Adv. Comput. Math..
[10] V. D. Kupradze,et al. The method of functional equations for the approximate solution of certain boundary value problems , 1964 .
[11] Andreas Karageorghis,et al. Efficient implementation of the MFS: The three scenarios , 2009 .
[12] Masashi Katsurada,et al. A mathematical study of the charge simulation method I , 1988 .
[13] Carlos J. S. Alves,et al. The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates , 2009 .
[14] J. Desanto. Mathematical and numerical aspects of wave propagation , 1998 .
[15] Jianxin Zhou,et al. Boundary element methods , 1992, Computational mathematics and applications.
[16] Carlos J. S. Alves,et al. Crack analysis using an enriched MFS domain decomposition technique , 2006 .
[17] Xin Li,et al. On convergence of the method of fundamental solutions for solving the Dirichlet problem of Poisson’s equation , 2005, Adv. Comput. Math..
[18] M. Golberg,et al. On methods for solving the Dirichlet problem for Poisson's equation , 2002 .
[19] T. Kitagawa,et al. On the numerical stability of the method of fundamental solution applied to the Dirichlet problem , 1988 .
[20] R. Mathon,et al. The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions , 1977 .
[21] Holger Wendland,et al. Kernel techniques: From machine learning to meshless methods , 2006, Acta Numerica.
[22] Carlos J. S. Alves,et al. Advances in meshfree techniques , 2007 .
[23] Carlos J. S. Alves,et al. A Kansa Type Method Using Fundamental Solutions Applied to Elliptic PDEs , 2007 .
[24] E. R. A. Oliveira,et al. Plate Stress Analysis by a General Integral Method , 1968 .
[25] J. Rappaz,et al. Numerical analysis of a non‐singular boundary integral method: Part II: The general case , 2001 .
[26] 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 .
[27] Graeme Fairweather,et al. The method of fundamental solutions for scattering and radiation problems , 2003 .
[28] Yiorgos Sokratis Smyrlis,et al. Applicability and applications of the method of fundamental solutions , 2009, Math. Comput..
[29] Andreas Karageorghis,et al. Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems , 2002, J. Sci. Comput..
[30] António Tadeu,et al. A three-dimensional acoustics model using the method of fundamental solutions , 2008 .
[31] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .
[32] Graeme Fairweather,et al. The method of fundamental solutions for elliptic boundary value problems , 1998, Adv. Comput. Math..
[33] C. Alves,et al. Density results using Stokeslets and a method of fundamental solutions for the Stokes equations , 2004 .