首页 | 本学科首页   官方微博 | 高级检索  
     检索      


A Minimal Distance Constrained Adaptive Mesh Algorithm with Application to the Dual Reciprocity Method
Authors:Kamal Shanazari  Ke Chen
Institution:(1) Department of Mathematical Sciences, The University of Liverpool, Liverpool, L69 7ZL, UK
Abstract:We present a new technique for generating error equi-distributing meshes that satisfy both local quasi-uniformity and a preset minimal mesh spacing. This is first done in the one-dimensional case by extending the Kautsky and Nichols method and then in the two-dimensional case by generalizing the tensor product methods to alternating curved line equi-distributions. With the new meshing approach, we have achieved better accuracy in approximation using interpolatory radial basis functions. Furthermore, improved accuracy in numerical results has been obtained when the interpolatory strategy is applied to the dual reciprocity boundary element method for solving a class of linear and nonhomogeneous partial differential equations.
Keywords:adaptive mesh  error equi-distribution  interpolation  RBF  DRBEM  numerical partial differential equations
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号