边界粒子法结合正则化技术求解Robin反问题

摘要

A boundary meshfree-boundary particle method is proposed for the solution of Robin inverse problem,in conj unction with the Tikhonov regularization technique to deal with the ill-posedness of in-verse problem.The present method has the merits of truly boundary meshless and high accuracy,which are particular appealing to solve inverse problem.In this study,numerical results are presented to show its good stability and rapid convergence for Robin inverse problem.%运用一种边界型无网格算法———边界粒子法求解 Robin反问题，结合 Tikhonov 正则化技术消除反问题的不适定性。该方法仅需边界测量数据，计算精度高，特别适用于反问题的求解。数值算例显示该方法在求解Robin反问题上具有很好的稳定性和收敛性。