1. Part II: Inverse problem Deconvolution for site response analysis J. T. Chen Ph.D. 海洋大學特聘教授 陳正宗博士 11:50 ~ 12:40, Oct. 08, 2005 NCTU, HsinChu Workshop on Inverse Problems NCTU, HsinChu, Taiwan

2. Outlines Part II: Inverse problem Deconvolution for site response analysis Part II: Inverse problem Deconvolution for site response analysis

3. Part II: Inverse problem J. T. Chen and K. H. Chen, 1998, “Analytical Study and Numerical Experiments for Laplace Equations with Overspecified Boundary Conditions”, Applied Mathematical Modelling, Vol.22, pp.703-725. (SCI and EI) J. T. Chen and K. H. Chen, 1998, “Analytical Study and Numerical Experiments for Laplace Equations with Overspecified Boundary Conditions”, Applied Mathematical Modelling, Vol.22, pp.703-725. (SCI and EI) L. Y. Chen, J. T. Chen, H.-K. Hong and C. H. Chen, 1995, “Application of Cesaro Mean and the L-curve for Deconvolution Problem”, Soil Dynamics and Earthquake Engineering, Vol. 14,No. 5, pp.361-373. (SCI and EI) L. Y. Chen, J. T. Chen, H.-K. Hong and C. H. Chen, 1995, “Application of Cesaro Mean and the L-curve for Deconvolution Problem”, Soil Dynamics and Earthquake Engineering, Vol. 14,No. 5, pp.361-373. (SCI and EI) 陳正宗與陳桂鴻，地盤反應逆向運算 – 病態問題， 1996 ， 土木工程技術，第七期， 101 頁 – 120 頁. 陳正宗與陳桂鴻，地盤反應逆向運算 – 病態問題， 1996 ， 土木工程技術，第七期， 101 頁 – 120 頁. K. H. Chen and J. T. Chen, 1996, “On the Inverse Problems for Laplace Equation”, Proceeding of the 20th National Conference on Theoretical and Applied Mechanics, pp.519-526. K. H. Chen and J. T. Chen, 1996, “On the Inverse Problems for Laplace Equation”, Proceeding of the 20th National Conference on Theoretical and Applied Mechanics, pp.519-526. 半盲問題

5. Site Response Analysis Direct problem: OK (convolution) Direct problem: OK (convolution) Inverse problem: NG (deconvolution) Inverse problem: NG (deconvolution) SHAKE problem (Seed) SHAKE problem (Seed) Treatment (conventional) Treatment (conventional) Cutoff frequency by engineering judgement Cutoff frequency by engineering judgement Treatment (present) Treatment (present) Cesaro regularization by reproducing kernel Cesaro regularization by reproducing kernel

7. 敏感度 扭曲度

12. The End Thanks for your kind attentions. Your comments will be highly appreciated. URL: http://msvlab.hre.ntou.edu.tw/ http://msvlab.hre.ntou.edu.tw/