Solution of Boundary Value Obstacle Problems Using MQ-RBF and IMQ-RBF
نویسندگان
چکیده
منابع مشابه
RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems
In this talk, we discuss multiscale radial basis function collocation methods for solving elliptic partial differential equations on bounded domains. The approximate solution is constructed in a multi-level fashion, each level using compactly supported radial basis functions of smaller scale on an increasingly fine mesh. On each level, standard symmetric collocation is employed. A convergence t...
متن کاملRBF-based meshless boundary knot method and boundary particle method
This paper is concerned with the two new boundary-type radial basis function collocation schemes, boundary knot method (BKM) and boundary particle method (BPM). The BKM is developed based on the dual reciprocity theorem, while the BKM employs the multiple reciprocity technique. Unlike the method of fundamental solution, the two methods use the non-singular general solution instead of singular f...
متن کاملRBF Applications to Selected Water Resources Problems
Abstract. Many numerical solution alternatives based on Navier Stokes equations or Reynolds equations with single or double phase closure turbulence model were proposed. These have the drawback of : i) High computational cost, ii) The detailed complexity of the flow are partially accounted for, iii) Parameters estimation is still an open problem. In this paper, we proceeded by depth averaging o...
متن کاملSolution of Two Point Boundary Value Problems Using Wavelet Integrals
Abstract In this paper, we obtain some special types of integrals of Daubechies Wavelets which are used as Galerkin basis functions for numerical solution of partial differential equations of one dimension. Galerkin bases are constructed by integrating Daubechies functions which are compactly supported and which constitute an orthonormal basis of L2(R). Theoretical and numerical results are obt...
متن کاملNew RBF collocation methods and kernel RBF with applications
Abstract. A few novel radial basis function (RBF) discretization schemes for partial differential equations are developed in this study. For boundary-type methods, we derive the indirect and direct symmetric boundary knot methods. Based on the multiple reciprocity principle, the boundary particle method is introduced for general inhomogeneous problems without using inner nodes. For domain-type ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2013
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2013/490639