浙江大学学报（理学版）2013，Vol.40Issue(1)：29-34,6.DOI:10.3785/j.issn.1008-9497.2013.01.008
一种求解Robin反问题的边界型无网格方法
A boundary-type meshless method for the Robin inverse problem
摘要
Abstract
A boundary-type meshless method is proposed to solve the Robin inverse problem associated with inhomogeneous steady-state heat conduction.In the present method,the problem is transformed into the inverse Cauchy problem by Newton's law of convective heat transfer; the boundary particle method is used to handle the inhomogeneous term in order to avoid the requirement of inner nodes; a method of fundamental solutions is then employed to evaluate the particular solution and the corresponding homogenous solution.Since the inverse problem is ill-posed,the truncated singular value decomposition with the regularization parameter given by the L-curve method is introduced to solve the resultant highly ill-conditioned system of linear equations.Numerical results are presented to verify the reliability and efficiency of the proposed method.关键词
Robin反问题/基本解方法/边界粒子法/无网格方法/截断奇异值分解Key words
Robin inverse problem/ method of fundamental solutions/ boundary particle method/ meshless method/truncated singular value decomposition分类
数理科学引用本文复制引用
董超峰..一种求解Robin反问题的边界型无网格方法[J].浙江大学学报（理学版）,2013,40(1):29-34,6.基金项目
浙江省自然科学基金资助项目(LQ12A01018,LQ12A01013). （LQ12A01018,LQ12A01013）
