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Method of fundamental solutions
Known as:
Method of fundamental solution
In scientific computation and simulation, the method of fundamental solutions (MFS) is getting a growing attention. The method is essentially based…
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Related topics
Related topics
10 relations
Boundary element method
Boundary knot method
Boundary particle method
List of numerical analysis topics
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Broader (1)
Numerical analysis
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2013
Highly Cited
2013
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions
Ming Li
,
C. S. Chen
,
A. Karageorghis
Computers and Mathematics with Applications
2013
Corpus ID: 33011415
Highly Cited
2012
Highly Cited
2012
Numerical Optimization of Low Eigenvalues of the Dirichlet and Neumann Laplacians
Pedro R. S. Antunes
,
P. Freitas
Journal of Optimization Theory and Applications
2012
Corpus ID: 6878277
We perform a numerical optimization of the first ten nontrivial eigenvalues of the Neumann Laplacian for planar Euclidean domains…
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Highly Cited
2011
Highly Cited
2011
The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
M. Dehghan
,
R. Salehi
Computer Physics Communications
2011
Corpus ID: 33135216
2008
2008
The method of fundamental solutions for a biharmonic inverse boundary determination problem
A. Zeb
,
D. Ingham
,
D. Lesnic
2008
Corpus ID: 53524637
In this paper, a nonlinear inverse boundary value problem associated to the biharmonic equation is investigated. This problem…
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2008
2008
The fundamental solution of Mindlin plates with damping in the Laplace domain and its applications
P. Wen
,
M. Adetoro
,
Yigeng Xu
2008
Corpus ID: 17566417
Highly Cited
2006
Highly Cited
2006
Investigations on the Accuracy and Condition Number for the Method of Fundamental Solutions
C. Tsai
,
Y. C. Lin
,
D. Young
,
S. Atluri
2006
Corpus ID: 45815420
In the applications of the method of fundamental solutions, locations of sources are treated either as variables or a priori…
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Highly Cited
2005
Highly Cited
2005
A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations
L. Marin
Applied Mathematics and Computation
2005
Corpus ID: 1885365
Highly Cited
2004
Highly Cited
2004
Time-dependent fundamental solutions for homogeneous diffusion problems
D. Young
,
C. Tsai
,
K. Murugesan
,
C. Fan
,
C. W. Chen
2004
Corpus ID: 122002717
Highly Cited
2003
Highly Cited
2003
Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection–diffusion problems
Wen Chen
,
Y. Hon
2003
Corpus ID: 16497424
Highly Cited
2002
Highly Cited
2002
A meshless, integration-free, and boundary-only RBF technique
W. Chen
,
Masataka Tanaka
arXiv.org
2002
Corpus ID: 3204186
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