Boundary element models for Laplace, Poisson, and Helmholtz field computation and application to inverse analysis 境界要素モデルによるラプラス・ポアソン・ヘルムホルツ場の解析と逆解析への応用に関する研究

Access this Article

Search this Article

Author

    • 孫, 永浩 ソン, エイコウ

Bibliographic Information

Title

Boundary element models for Laplace, Poisson, and Helmholtz field computation and application to inverse analysis

Other Title

境界要素モデルによるラプラス・ポアソン・ヘルムホルツ場の解析と逆解析への応用に関する研究

Author

孫, 永浩

Author(Another name)

ソン, エイコウ

University

岡山大学

Types of degree

博士 (学術)

Grant ID

乙第3013号

Degree year

1996-03-25

Note and Description

博士論文

Table of Contents

  1. Contents / p1 (0004.jp2)
  2. Acknowledgments / (0003.jp2)
  3. 1 Introduction / p1 (0006.jp2)
  4. 1.1 Motivation of the Study / p1 (0006.jp2)
  5. 1.2 A Brief History of Boundary Element Method and Dual Reciprocity Method / p2 (0007.jp2)
  6. 1.3 Variational Boundary Element Method with Dual and Complementary Energy Formulation / p3 (0007.jp2)
  7. 1.4 Regular Boundary Integral Method / p4 (0008.jp2)
  8. 1.5 Gennal Aspect of Inverse Problems and Solution Procedures / p5 (0008.jp2)
  9. 2 Boundary Element Method / p8 (0010.jp2)
  10. 2.1 Introduction / p8 (0010.jp2)
  11. 2.2 Boundary Element Method for Laplace Equation / p8 (0010.jp2)
  12. 2.3 Formulation for Poisson Equation / p11 (0012.jp2)
  13. 2.4 Formulation for Helmholtz Equation / p12 (0012.jp2)
  14. 2.5 Dual Reciprocity Method / p13 (0013.jp2)
  15. 3 Variational Boundary Element Approach to Laplace Problems / p15 (0014.jp2)
  16. 3.1 Introduction / p15 (0014.jp2)
  17. 3.2 Variational Formulation / p15 (0014.jp2)
  18. 3.3 Dual and Complementary Energy Formulation / p18 (0016.jp2)
  19. 3.4 Numerical Examples / p20 (0017.jp2)
  20. 3.5 Discussion / p27 (0020.jp2)
  21. 4 Regular Boundary Integral Approach to Laplace Problems / p28 (0021.jp2)
  22. 4.1 Introduction / p28 (0021.jp2)
  23. 4.2 Dual and Complementary Formulation / p28 (0021.jp2)
  24. 4.3 Regular Solution Approach / p31 (0023.jp2)
  25. 4.4 Numerical Examples / p31 (0023.jp2)
  26. 4.5 Discussion / p41 (0028.jp2)
  27. 5 Regular Boundary Integral Approach to Helmholtz Probelms / p42 (0028.jp2)
  28. 5.1 Introduction / p42 (0028.jp2)
  29. 5.2 Variational Formulation / p42 (0028.jp2)
  30. 5.3 Numerical Examples / p45 (0030.jp2)
  31. 5.4 Discussion / p62 (0038.jp2)
  32. 6 Poisson Problems and Dual Reciprocity Method / p63 (0039.jp2)
  33. 6.1 Introduction / p63 (0039.jp2)
  34. 6.2 Dual Reciprocity Formulation / p63 (0039.jp2)
  35. 6.3 Extension to Helmholtz Problems / p66 (0041.jp2)
  36. 6.4 Numerical Examples / p67 (0041.jp2)
  37. 6.5 Discussion / p75 (0045.jp2)
  38. 7 Identification of Forcing Term or Electric Space Charge Distribution Using Dual Reciprocity Boundary Element Models / p76 (0046.jp2)
  39. 7.1 Introduction / p76 (0046.jp2)
  40. 7.2 Dual Reciprocity Formulation / p76 (0046.jp2)
  41. 7.3 Numerical Examples / p78 (0047.jp2)
  42. 7.4 Discussion / p96 (0056.jp2)
  43. 8 Electric Impedance Tomography Using Dual Reciprocity Boundary Element Models / p97 (0057.jp2)
  44. 8.1 Introduction / p97 (0057.jp2)
  45. 8.2 Inversion Algorithm / p97 (0057.jp2)
  46. 8.3 Numerical Examples / p99 (0058.jp2)
  47. 8.4 Discussion / p103 (0060.jp2)
  48. 9 Conclusions / p104 (0061.jp2)
  49. Appendix1 / p106 (0062.jp2)
  50. Appendix2 / p108 (0063.jp2)
  51. References / p110 (0064.jp2)
  52. Publications / p116 (0067.jp2)
1access

Codes

  • NII Article ID (NAID)
    500000130844
  • NII Author ID (NRID)
    • 8000000954579
  • DOI(NDL)
  • Text Lang
    • jpn
  • NDLBibID
    • 000000295158
  • Source
    • Institutional Repository
    • NDL ONLINE
    • NDL Digital Collections

Export

Page Top