无网格法研究进展及其应用
张雄， 宋康祖， 陆明万 - 计算力学学报, 2003 - pubs.cstam.org.cn
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Some recent results and proposals for the use of radial basis functions in the BEM
MA Golberg, CS Chen, H Bowman - Engineering Analysis with Boundary …, 1999 - Elsevier
We survey some recent applications of radial basis functions (rbfs) for the BEM and related
algorithms such as the method of fundamental solutions. Among these are the use of …
algorithms such as the method of fundamental solutions. Among these are the use of …
Circumventing the ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations
EJ Kansa, YC Hon - Computers & Mathematics with applications, 2000 - Elsevier
Madych and Nelson [1] proved multiquadric (MQ) mesh-independent radial basis functions
(RBFs) enjoy exponential convergence. The primary disadvantage of the MQ scheme is that …
(RBFs) enjoy exponential convergence. The primary disadvantage of the MQ scheme is that …
Exponential convergence and H‐c multiquadric collocation method for partial differential equations
AHD Cheng, MA Golberg, EJ Kansa… - Numerical Methods for …, 2003 - Wiley Online Library
The radial basis function (RBF) collocation method uses global shape functions to
interpolate and collocate the approximate solution of PDEs. It is a truly meshless method as …
interpolate and collocate the approximate solution of PDEs. It is a truly meshless method as …
On unsymmetric collocation by radial basis functions
YC Hon, R Schaback - Applied Mathematics and Computation, 2001 - Elsevier
Solving partial differential equations by collocation with radial basis functions can be
efficiently done by a technique first proposed by Kansa in 1990. It rewrites the problem as a …
efficiently done by a technique first proposed by Kansa in 1990. It rewrites the problem as a …
A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates
AJM Ferreira - Composite structures, 2003 - Elsevier
The multiquadric radial basis functions (MQ) method is a recent mesh-free collocation
method with global basis functions. The MQ method for the solution of partial differential …
method with global basis functions. The MQ method for the solution of partial differential …
[HTML][HTML] Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method
In the present study the third-order theory of Reddy for composite laminated plates is
discretized using a new type of meshless method, a finite point based on the multiquadric …
discretized using a new type of meshless method, a finite point based on the multiquadric …
Local multiquadric approximation for solving boundary value problems
This paper presents a truly meshless approximation strategy for solving partial differential
equations based on the local multiquadric (LMQ) and the local inverse multiquadric (LIMQ) …
equations based on the local multiquadric (LMQ) and the local inverse multiquadric (LIMQ) …
Multiquadric and its shape parameter—a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation
AHD Cheng - Engineering analysis with boundary elements, 2012 - Elsevier
Hardy's multiquadric and its related interpolators have been found to be highly efficient for
interpolating continuous, multivariate functions, as well as for the solution of partial …
interpolating continuous, multivariate functions, as well as for the solution of partial …