A new boundary meshfree method with distributed sources
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Mukherjee, 2005
Fairweather, 1998, The method of fundamental solutions for elliptic boundary value problems, Advances in Computational Mathematics, 9, 69, 10.1023/A:1018981221740
Golberg, 1998, The method of fundamental solutions for potential, Helmhotz and diffusion problems, 103
Fairweather, 2003, The method of fundamental solutions for scattering and radiation problems, Engineering Analysis with Boundary Elements, 27, 759, 10.1016/S0955-7997(03)00017-1
Berger, 1999, The method of fundamental solutions for heat conduction in layered materials, International Journal for Numerical Methods in Engineering, 45, 1681, 10.1002/(SICI)1097-0207(19990820)45:11<1681::AID-NME649>3.0.CO;2-T
Ramachandran, 2002, Method of fundamental solutions: singular value decomposition analysis, Communications in Numerical Methods in Engineering, 18, 789, 10.1002/cnm.537
Smyrlis, 2004, A matrix decomposition MFS algorithm for axisymmetric potential problems, Engineering Analysis with Boundary Elements, 28, 463, 10.1016/S0955-7997(03)00100-0
Mitic, 2004, Convergence and stability of the method of meshless fundamental solutions using an array of randomly distributed sources, Engineering Analysis with Boundary Elements, 28, 143, 10.1016/j.enganabound.2003.07.005
Poullikkas, 2002, The method of fundamental solutions for three-dimensional elastostatics problems, Computers and Structures, 80, 365, 10.1016/S0045-7949(01)00174-2
Liu, 2005, A fast multipole accelerated method of fundamental solutions for potential problems, Engineering Analysis with Boundary Elements, 29, 1016, 10.1016/j.enganabound.2005.03.007
Young, 2005, Novel meshless method for solving the potential problems with arbitrary domain, Journal of Computational Physics, 209, 290, 10.1016/j.jcp.2005.03.007
Chen, 2006, Regularized meshless method for multiply-connected-domain Laplace problems, Engineering Analysis with Boundary Elements, 30, 882, 10.1016/j.enganabound.2006.06.005
Young, 2007, A modified method of fundamental solutions with source on the boundary for solving Laplace equations with circular and arbitrary domains, CMES: Computer Modeling in Engineering & Sciences, 19, 197
Šarler, 2009, Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions, Engineering Analysis with Boundary Elements, 33, 1374, 10.1016/j.enganabound.2009.06.008
Liu, 2009
Chen W, Wang FZ. A method of fundamental solutions without fictitious boundary. Engineering Analysis with Boundary Elements 2010;34(5):530–2.
Mukherjee, 1982