A new boundary meshfree method with distributed sources

Engineering Analysis with Boundary Elements - Tập 34 Số 11 - Trang 914-919 - 2010
Yijun Liu1
1Department of Mechanical Engineering, University of Cincinnati, Cincinnati, OH 45221-0072, USA

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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

Liu, 1991, Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations, Engineering Analysis with Boundary Elements, 8, 301, 10.1016/0955-7997(91)90043-S