| 师晋红,陈文,傅卓佳.边界粒子法结合正则化技术求解Robin反问题[J].计算力学学报,2014,31(6):694~701 |
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| 边界粒子法结合正则化技术求解Robin反问题 |
| Boundary particle method coupled with regularization technique for Robin inverse problem |
| 投稿时间：2013-05-01 修订日期：2013-09-04 |
| DOI：10.7511/jslx201406003 |
| 中文关键词: Robin反问题 边界粒子法 Tikhonov正则化 广义交叉检验 |
| 英文关键词:Robin inverse problem boundary particle method Tikhonov regularization generalized cross-validation |
| 基金项目:水利部公益性行业专项经费(201101014);"111"计划(B12032);"973"计划(2010CB832702);国家杰出青年基金(11125208)资助项目. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| A boundary meshfree-boundary particle method is proposed for the solution of Robin inverse problem,in conjunction with the Tikhonov regularization technique to deal with the ill-posedness of inverse 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. |
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