Journal ArticleDOI
Some problems with the method of fundamental solution using radial basis functions
Hui Wang,Hui Wang,Qing-Hua Qin +2 more
Reads0
Chats0
TLDR
In this article, the application of the method of fundamental solutions along with the analog equation method (AEM) and radial basis function (RBF) approximation for solving the 2D isotropic and anisotropic Helmholtz problems with different wave numbers is described.About:
This article is published in Acta Mechanica Solida Sinica.The article was published on 2007-03-01. It has received 42 citations till now. The article focuses on the topics: Method of fundamental solutions & Helmholtz equation.read more
Citations
More filters
Multiquadric Radial Basis Function Approximation Methods for the Numerical Solution of Partial Differential Equations
TL;DR: This monograph differs from other recent books on meshfree methods in that it focuses only on the MQ RBF while others have focused on meshless methods in general.
Journal ArticleDOI
Hybrid FEM with fundamental solutions as trial functions for heat conduction simulation
Hui Wang,Qing-Hua Qin +1 more
TL;DR: In this article, a new type of hybrid finite element formulation with fundamental solutions as internal interpolation functions, named as HFS-FEM, is presented and used for solving two dimensional heat conduction problems in single and multi-layer materials.
Journal ArticleDOI
A new special element for stress concentration analysis of a plate with elliptical holes
Hui Wang,Qing-Hua Qin +1 more
TL;DR: In this paper, a special hole element is constructed using the special fundamental solutions for an infinite domain containing a single elliptical hole, which are derived based on complex conformal mapping and Cauchy integrals.
Journal ArticleDOI
Special fiber elements for thermal analysis of fiber‐reinforced composites
Hui Wang,Qing-Hua Qin +1 more
TL;DR: In this article, a hybrid finite element formulation taking the fundamental solution as kernel function is presented for analyzing the thermal behavior and predicting the effective thermal conductivity of fiber-reinforced composites.
Journal ArticleDOI
Method of fundamental solutions for nonlinear skin bioheat model
TL;DR: In this article, a two-dimensional nonlinear skin model with temperature-dependent blood perfusion rate was studied, where the original bioheat transfer governing equation was linearized with the Taylor's expansion technique, and the linearized governing equation with specified boundary conditions was solved using a meshless approach, in which the DRM and the MFS were employed to obtain particular and homogeneous solutions, respectively.
References
More filters
Numerical recipes in C
TL;DR: The Diskette v 2.06, 3.5''[1.44M] for IBM PC, PS/2 and compatibles [DOS] Reference Record created on 2004-09-07, modified on 2016-08-08.
Journal ArticleDOI
Multiquadrics--a scattered data approximation scheme with applications to computational fluid-dynamics-- ii solutions to parabolic, hyperbolic and elliptic partial differential equations
TL;DR: In this paper, the authors used MQ as the spatial approximation scheme for parabolic, hyperbolic and the elliptic Poisson's equation, and showed that MQ is not only exceptionally accurate, but is more efficient than finite difference schemes which require many more operations to achieve the same degree of accuracy.
Approximation scheme with applications to computational fluid-dynamics-- i surface approximations and partial derivative estimates
TL;DR: In this article, the authors presented an enhanced multiquadrics (MQ) scheme for spatial approximations, which is a true scattered data, grid free scheme for representing surfaces and bodies in an arbitrary number of dimensions.
Book
The dual reciprocity boundary element method
TL;DR: In this article, the authors present the boundary element method for Laplace's Equation, which is used to solve the Torsion Problem with different approximations of functions.
Related Papers (5)
A meshless model for transient heat conduction in functionally graded materials
Hybrid FEM with fundamental solutions as trial functions for heat conduction simulation
Hui Wang,Qing-Hua Qin +1 more