Numerical comparison of least square-based finite-difference (LSFD) and radial basis function-based finite-difference (RBFFD) methods
暂无分享,去创建一个
[1] U. Ghia,et al. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .
[2] T. Liszka. An interpolation method for an irregular net of nodes , 1984 .
[3] C. Micchelli. Interpolation of scattered data: Distance matrices and conditionally positive definite functions , 1986 .
[4] Knut Mørken,et al. Knot removal for parametric B-spline curves and surfaces , 1987, Comput. Aided Geom. Des..
[5] W. Madych,et al. Multivariate interpolation and condi-tionally positive definite functions , 1988 .
[6] E. Kansa. MULTIQUADRICS--A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS-- II SOLUTIONS TO PARABOLIC, HYPERBOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS , 1990 .
[7] E. Kansa. Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .
[8] R. d'Inverno. Approaches to Numerical Relativity , 2005 .
[9] C. Shu,et al. APPLICATION OF GENERALIZED DIFFERENTIAL QUADRATURE TO SOLVE TWO-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS , 1992 .
[10] T. Belytschko,et al. Element‐free Galerkin methods , 1994 .
[11] Wing Kam Liu,et al. Reproducing kernel particle methods , 1995 .
[12] I. Babuska,et al. The Partition of Unity Method , 1997 .
[13] E. Oñate,et al. A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW , 1996 .
[14] Carsten Franke,et al. Convergence order estimates of meshless collocation methods using radial basis functions , 1998, Adv. Comput. Math..
[15] S. Atluri,et al. A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .
[16] Y. Hon,et al. A quasi-interpolation method for solving stiff ordinary differential equations , 2000 .
[17] W. Chen,et al. New RBF collocation methods and kernel RBF with applications , 2001, ArXiv.
[18] T. Driscoll,et al. Observations on the behavior of radial basis function approximations near boundaries , 2002 .
[19] T. Driscoll,et al. Interpolation in the limit of increasingly flat radial basis functions , 2002 .
[20] C. Shu,et al. Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations , 2003 .
[21] E. Kansa,et al. Exponential convergence and H‐c multiquadric collocation method for partial differential equations , 2003 .
[22] C. Shu,et al. Development of least-square-based two-dimensional finite-difference schemes and their application to simulate natural convection in a cavity , 2004 .
[23] H. Ding,et al. Error estimates of local multiquadric‐based differential quadrature (LMQDQ) method through numerical experiments , 2005 .