Numerical analysis of magnetic fields by the finite element method using tetrahedral edge elements 四面体辺要素を用いた有限要素法による磁界の数値解析

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Author

    • Olszewski, Piotr オリズイスキー, ピオトル

Bibliographic Information

Title

Numerical analysis of magnetic fields by the finite element method using tetrahedral edge elements

Other Title

四面体辺要素を用いた有限要素法による磁界の数値解析

Author

Olszewski, Piotr

Author(Another name)

オリズイスキー, ピオトル

University

岡山大学

Types of degree

博士 (学術)

Grant ID

甲第1129号

Degree year

1993-03-28

Note and Description

博士論文

Table of Contents

  1. Table of Contents / p1 (0003.jp2)
  2. Table of Contents / p1 (0003.jp2)
  3. Acknowledgements / p4 (0005.jp2)
  4. Abstract / p5 (0005.jp2)
  5. List of Symbols / p6 (0006.jp2)
  6. List of Figures / p8 (0007.jp2)
  7. List of Tables / p11 (0008.jp2)
  8. 1 Introduction / p1 (0009.jp2)
  9. 2 The Finite Element Method / p7 (0012.jp2)
  10. 2.1 Introduction / p7 (0012.jp2)
  11. 2.2 Galerkin's Method / p8 (0013.jp2)
  12. 3 The Electromagnetic Field Equations / p13 (0015.jp2)
  13. 3.1 Introduction / p13 (0015.jp2)
  14. 3.2 Maxwell's Equations / p13 (0015.jp2)
  15. 4 A Survey of Existing Formulations for Three-Dimensional Problems / p19 (0018.jp2)
  16. 4.1 Introduction / p19 (0018.jp2)
  17. 4.2 Static Formulations / p19 (0018.jp2)
  18. 4.3 Time Dependent Formulations / p22 (0020.jp2)
  19. 4.4 Vector Potential Methods / p26 (0022.jp2)
  20. 5 Scalar and Vector Shape Functions for Tetrahedral Elements / p35 (0026.jp2)
  21. 5.1 Introduction / p35 (0026.jp2)
  22. 5.2 Nodal Shape Functions / p37 (0027.jp2)
  23. 5.3 Edge Shape Functions / p43 (0030.jp2)
  24. 5.4 Facet Shape Functions / p52 (0035.jp2)
  25. 6 Vector Potential Formulations for Magnetostatic and Eddy Current Problems using Tetrahedral Edge Elements / p55 (0036.jp2)
  26. 6.1 Introduction / p55 (0036.jp2)
  27. 6.2 Galerkin Approximation of the Magnetostatic and Linear Problem / p57 (0037.jp2)
  28. 6.3 Magnetostatic and Non-Linear Problem / p73 (0045.jp2)
  29. 6.4 Steady State and Linear Problem / p80 (0049.jp2)
  30. 6.5 Tree/Co-Tree Technique of Imposing Gauge Condition / p87 (0052.jp2)
  31. 6.6 Modeling of Source Currents / p94 (0056.jp2)
  32. 7 Numerical Model for Soft Anisotropic Materials / p103 (0060.jp2)
  33. 7.1 Introduction / p103 (0060.jp2)
  34. 7.2 Physical Concept of Energy/Coenergy Based Model of Anisotropy / p104 (0061.jp2)
  35. 7.3 Energetic Model of Anisotropy / p106 (0062.jp2)
  36. 7.4 Reconstruction of the Hq component / p114 (0066.jp2)
  37. 7.5 Conclusions / p120 (0069.jp2)
  38. 8 Program Verification / p121 (0069.jp2)
  39. 8.1 Introduction / p121 (0069.jp2)
  40. 8.2 Generation of Meshes for Test Problems / p122 (0070.jp2)
  41. 8.3 The Test Problems / p125 (0071.jp2)
  42. 9 Adaptive Mesh Refinement of Tetrahedral Meshes / p173 (0095.jp2)
  43. 9.1 Introduction / p173 (0095.jp2)
  44. 9.2 Concept of the Adaptive Mesh Refinement / p175 (0096.jp2)
  45. 9.3 Delaunay Tessellation and Delaunay Meshes / p177 (0097.jp2)
  46. 9.4 Handling Boundary Conditions, Excitations and Material Data / p178 (0098.jp2)
  47. 9.5 The Error Estimates / p179 (0098.jp2)
  48. 9.6 Refinement Algorithm for Tetrahedral Meshes / p190 (0104.jp2)
  49. 9.7 Error Convergence Test / p200 (0109.jp2)
  50. 9.8 Mesh Quality Measure / p200 (0109.jp2)
  51. 9.9 Verification of the Refinement Algorithm / p201 (0109.jp2)
  52. Conclusions / p211 (0114.jp2)
  53. References / p215 (0116.jp2)
  54. Appendix / p222 (0120.jp2)
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Codes

  • NII Article ID (NAID)
    500000094349
  • NII Author ID (NRID)
    • 8000000094575
  • DOI(NDL)
  • NDLBibID
    • 000000258663
  • Source
    • NDL ONLINE
    • NDL Digital Collections

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