Overview of meshless methods

[1]  Q. Qin,et al.  Meshless Method with Operator Splitting Technique for Transient Nonlinear Bioheat Transfer in Two-Dimensional Skin Tissues , 2015, International journal of molecular sciences.

[2]  Q. Qin,et al.  METHOD OF FUNDAMENTAL SOLUTIONS FOR NONLINEAR SKIN BIOHEAT MODEL , 2014 .

[3]  Qing H Qin,et al.  Fundamental Solution Based Finite Element Method , 2013 .

[4]  Carlos J. S. Alves,et al.  On the choice of source points in the method of fundamental solutions , 2009 .

[5]  A. Karageorghis.  A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions , 2009 .

[6]  Qing Hua Qin,et al.  Meshless approach for thermo-mechanical analysis of functionally graded materials , 2008 .

[7]  D. L. Young,et al.  Method of fundamental solutions with optimal regularization techniques for the Cauchy problem of the Laplace equation with singular points , 2008, J. Comput. Phys..

[8]  Daniel Lesnic,et al.  The method of fundamental solutions for nonlinear functionally graded materials , 2007 .

[9]  Y. Hon,et al.  Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators , 2007 .

[10]  Qing Hua Qin,et al.  Some problems with the method of fundamental solution using radial basis functions , 2007 .

[11]  Y. T. Lee,et al.  On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations , 2007, Comput. Math. Appl..

[12]  Qing Hua Qin,et al.  A meshless model for transient heat conduction in functionally graded materials , 2006 .

[13]  Q. Qin,et al.  A meshless method for generalized linear or nonlinear Poisson-type problems , 2006 .

[14]  Hokwon A. Cho,et al.  Some comments on the ill-conditioning of the method of fundamental solutions , 2006 .

[15]  Youguang Guo,et al.  A boundary meshless method for transient eddy current problems , 2005, IEEE Transactions on Magnetics.

[16]  Xin Li,et al.  On convergence of the method of fundamental solutions for solving the Dirichlet problem of Poisson’s equation , 2005, Adv. Comput. Math..

[17]  Qing-Hua Qin,et al.  Trefftz Finite Element Method and Its Applications , 2005 .

[18]  Q. Qin,et al.  A new meshless method for steady-state heat conduction problems in anisotropic and inhomogeneous media , 2005 .

[19]  S.L. Ho,et al.  Refinement computations of electromagnetic fields using FE and meshless methods , 2005, IEEE Transactions on Magnetics.

[20]  C. W. Chen,et al.  Eigenanalysis for Membranes with Stringers Using the Methods of Fundamental Solutions and Domain Decomposition , 2005 .

[21]  A. Cheng,et al.  Heritage and early history of the boundary element method , 2005 .

[22]  Qing Hua Qin,et al.  Green's functions of magnetoelectroelastic solids with a half-plane boundary or bimaterial interface , 2004 .

[23]  Zhao Meiling,et al.  A new coupled MLPG-FE method for electromagnetic field computations , 2004, Proceedings. ICCEA 2004. 2004 3rd International Conference on Computational Electromagnetics and Its Applications, 2004..

[24]  Silvio Ikuyo Nabeta,et al.  Optimisation of a switched reluctance motor using experimental design method and diffuse elements response surface , 2004 .

[25]  H. C. Lai,et al.  Meshless local Petrov-Galerkin method with radial basis functions applied to electromagnetics , 2004 .

[26]  Q. Qin.  Material properties of piezoelectric composites by BEM and homogenization method , 2004 .

[27]  Shiyou Yang,et al.  A meshless collocation method based on radial basis functions and wavelets , 2004, IEEE Transactions on Magnetics.

[28]  S.L. Ho,et al.  Numerical analysis of thin skin depths of 3-D eddy-current problems using a combination of finite element and meshless methods , 2004, IEEE Transactions on Magnetics.

[29]  Piotr Breitkopf,et al.  Integration constraint in diffuse element method , 2004 .

[30]  B. Shanker,et al.  Element-free Galerkin method for static and quasi-static electromagnetic field computation , 2004, IEEE Transactions on Magnetics.

[31]  Youssef F. Rashed,et al.  Convergence and stability of the method of meshless fundamental solutions using an array of randomly distributed sources , 2004 .

[32]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics: A Meshfree Particle Method , 2003 .

[33]  Shiyou Yang,et al.  A combined wavelet-element free Galerkin method for numerical calculations of electromagnetic fields , 2003 .

[34]  S. C. Fan,et al.  Local multiquadric approximation for solving boundary value problems , 2003 .

[35]  Yongsik Kim,et al.  Point collocation methods using the fast moving least‐square reproducing kernel approximation , 2003 .

[36]  P. Ramachandran.  Method of fundamental solutions: singular value decomposition analysis , 2002 .

[37]  Guirong Liu.  Mesh Free Methods: Moving Beyond the Finite Element Method , 2002 .

[38]  Wen Chen.  Meshfree boundary particle method applied to Helmholtz problems , 2002 .

[39]  Qing Hua Qin,et al.  BEM for crack-hole problems in thermopiezoelectric materials , 2002 .

[40]  S. Atluri,et al.  The Meshless Local Petrov-Galerkin (MLPG) Method: A Simple \& Less-costly Alternative to the Finite Element and Boundary Element Methods , 2002 .

[41]  Jianming Zhang,et al.  A hybrid boundary node method , 2002 .

[42]  YuanTong Gu,et al.  A boundary point interpolation method for stress analysis of solids , 2002 .

[43]  W. Chen,et al.  A meshless, integration-free, and boundary-only RBF technique , 2002, ArXiv.

[44]  Chi Hou Chan,et al.  Analysis of elliptical waveguides by a meshless collocation method with the Wendland radial basis functions , 2002 .

[45]  Shiyou Yang,et al.  Application of a meshless method in electromagnetics , 2001 .

[46]  Yves Marechal,et al.  The node distribution for meshless methods , 2001 .

[47]  Ming-Wan Lu,et al.  Least‐squares collocation meshless method , 2001 .

[48]  Guirong Liu,et al.  A point interpolation method for two-dimensional solids , 2001 .

[49]  K. Bathe,et al.  The method of finite spheres , 2000 .

[50]  E. Weisstein.  Partition of Unity , 2000 .

[51]  Holger Wendland,et al.  Meshless Galerkin methods using radial basis functions , 1999, Math. Comput..

[52]  R. Mesquita,et al.  Moving least square reproducing kernel method for electromagnetic field computation , 1999 .

[53]  Yves Marechal,et al.  Some meshless methods for electromagnetic field computations , 1998 .

[54]  Graeme Fairweather,et al.  The method of fundamental solutions for elliptic boundary value problems , 1998, Adv. Comput. Math..

[55]  S. Atluri,et al.  A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .

[56]  S. Atluri,et al.  A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach , 1998 .

[57]  Li,et al.  Moving least-square reproducing kernel methods (I) Methodology and convergence , 1997 .

[58]  S. Mukherjee,et al.  THE BOUNDARY NODE METHOD FOR POTENTIAL PROBLEMS , 1997 .

[59]  E. Oñate,et al.  A stabilized finite point method for analysis of fluid mechanics problems , 1996 .

[60]  Wing Kam Liu,et al.  Moving least-square reproducing kernel method Part II: Fourier analysis , 1996 .

[61]  I. Babuska,et al.  The partition of unity finite element method: Basic theory and applications , 1996 .

[62]  T. Liszka,et al.  hp-Meshless cloud method , 1996 .

[63]  E. Oñate,et al.  A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW , 1996 .

[64]  J. Oden,et al.  H‐p clouds—an h‐p meshless method , 1996 .

[65]  Qing Hua Qin,et al.  Coupled torsional-flexural vibration of shaft systems in mechanical engineering—I. Finite element model , 1996 .

[66]  Michael A. Golberg,et al.  The method of fundamental solutions for Poisson's equation , 1995 .

[67]  Wing Kam Liu,et al.  Reproducing kernel particle methods for structural dynamics , 1995 .

[68]  Wing Kam Liu,et al.  Reproducing kernel particle methods , 1995 .

[69]  T. Belytschko,et al.  Element‐free Galerkin methods , 1994 .

[70]  B. Nayroles,et al.  Generalizing the finite element method: Diffuse approximation and diffuse elements , 1992 .

[71]  J. Coulomb,et al.  Use of the Diffuse Element Method for Electromagnetic Feud computation , 1992, Digest of the Fifth Biennial IEEE Conference on Electromagnetic Field Computation.

[72]  Qing Hua Qin,et al.  BEM of postbuckling analysis of thin plates , 1990 .

[73]  Per Christian Hansen,et al.  Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank , 1990, SIAM J. Sci. Comput..

[74]  Frank Williamson,et al.  Richard courant and the finite element method: A further look , 1980 .

[75]  L. Lucy.  A numerical approach to the testing of the fission hypothesis. , 1977 .

[76]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[77]  Martin D. Buhmann,et al.  Radial Basis Functions , 2021, Encyclopedia of Mathematical Geosciences.

[78]  C. Fan,et al.  The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients , 2009 .

[79]  Shiyou Yang,et al.  Meshless local Petrov-Galerkin method and its application to electromagnetic field computations , 2004 .

[80]  L. Udpa,et al.  Element-free Galerkin method in pulsed eddy currents , 2004 .

[81]  Guizhi Xu,et al.  Improvement of the element-free Galerkin method for electromagnetic field calculation , 2004, IEEE Transactions on Applied Superconductivity.

[82]  E. Kita,et al.  Trefftz method: an overview , 1995 .

[83]  Q. Qin,et al.  Nonlinear analysis of reissner plates on an elastic foundation by the BEM , 1993 .

[84]  E. Kansa.  Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .

[85]  E. J. Kansa,et al.  Multi-quadrics-a scattered data approximation scheme with applications to computational fluid dynamics-II , 1990 .

[86]  V. D. Kupradze,et al.  The method of functional equations for the approximate solution of certain boundary value problems , 1964 .