1. M M S S V V 0 MSVLAB, HRE, NTOU BEM 期末報告 報 告 人 : 李應德 先生 指導教授 : 陳正宗 終身特聘教授 時 間 : 2008 年 06 月 24 日 地 點 : 河工二館 307 室 Two spherical body 邊界元素法期末報告

2. M M S S V V 1 MSVLAB, HRE, NTOU BEM 期末報告 Outlines 1. Problem statement 2. Eigenvalue detection for single sphere

3. M M S S V V 2 MSVLAB, HRE, NTOU BEM 期末報告 Problem statement

4. M M S S V V 3 MSVLAB, HRE, NTOU BEM 期末報告 Degenerate kernels

5. M M S S V V 4 MSVLAB, HRE, NTOU BEM 期末報告 Orthogonal properties Boundary densities

6. M M S S V V 5 MSVLAB, HRE, NTOU BEM 期末報告 Derivation

7. M M S S V V 6 MSVLAB, HRE, NTOU BEM 期末報告 Single sphere Boundary densities Null-field integral equation Orthogonal properties

8. M M S S V V 7 MSVLAB, HRE, NTOU BEM 期末報告 Rank

9. M M S S V V 8 MSVLAB, HRE, NTOU BEM 期末報告 M=8 (No rotation) T kernel U kernel

10. M M S S V V 9 MSVLAB, HRE, NTOU BEM 期末報告 M=8 (Rotation 1) T kernel U kernel

11. M M S S V V 10 MSVLAB, HRE, NTOU BEM 期末報告 M=8 (Rotation 2) T kernel U kernel

12. M M S S V V 11 MSVLAB, HRE, NTOU BEM 期末報告 M=11 (No rotation) T kernel U kernel

13. M M S S V V 12 MSVLAB, HRE, NTOU BEM 期末報告 M=11 (Rotation 1) T kernel U kernel

14. M M S S V V 13 MSVLAB, HRE, NTOU BEM 期末報告 M=11 (Rotation 2) T kernel U kernel

15. M M S S V V 14 MSVLAB, HRE, NTOU BEM 期末報告 M=9 (Rotation 1) T kernel U kernel

16. M M S S V V 15 MSVLAB, HRE, NTOU BEM 期末報告 Thanks for your kind attention The End