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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著者
書誌事項
- タイトル
-
Numerical analysis of magnetic fields by the finite element method using tetrahedral edge elements
- タイトル別名
-
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
- 著者名
-
Olszewski, Piotr
- 著者別名
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オリズイスキー, ピオトル
- 学位授与大学
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岡山大学
- 取得学位
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博士 (学術)
- 学位授与番号
-
甲第1129号
- 学位授与年月日
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1993-03-28
注記・抄録
博士論文
目次
- Table of Contents / p1 (0003.jp2)
- Table of Contents / p1 (0003.jp2)
- Acknowledgements / p4 (0005.jp2)
- Abstract / p5 (0005.jp2)
- List of Symbols / p6 (0006.jp2)
- List of Figures / p8 (0007.jp2)
- List of Tables / p11 (0008.jp2)
- 1 Introduction / p1 (0009.jp2)
- 2 The Finite Element Method / p7 (0012.jp2)
- 2.1 Introduction / p7 (0012.jp2)
- 2.2 Galerkin's Method / p8 (0013.jp2)
- 3 The Electromagnetic Field Equations / p13 (0015.jp2)
- 3.1 Introduction / p13 (0015.jp2)
- 3.2 Maxwell's Equations / p13 (0015.jp2)
- 4 A Survey of Existing Formulations for Three-Dimensional Problems / p19 (0018.jp2)
- 4.1 Introduction / p19 (0018.jp2)
- 4.2 Static Formulations / p19 (0018.jp2)
- 4.3 Time Dependent Formulations / p22 (0020.jp2)
- 4.4 Vector Potential Methods / p26 (0022.jp2)
- 5 Scalar and Vector Shape Functions for Tetrahedral Elements / p35 (0026.jp2)
- 5.1 Introduction / p35 (0026.jp2)
- 5.2 Nodal Shape Functions / p37 (0027.jp2)
- 5.3 Edge Shape Functions / p43 (0030.jp2)
- 5.4 Facet Shape Functions / p52 (0035.jp2)
- 6 Vector Potential Formulations for Magnetostatic and Eddy Current Problems using Tetrahedral Edge Elements / p55 (0036.jp2)
- 6.1 Introduction / p55 (0036.jp2)
- 6.2 Galerkin Approximation of the Magnetostatic and Linear Problem / p57 (0037.jp2)
- 6.3 Magnetostatic and Non-Linear Problem / p73 (0045.jp2)
- 6.4 Steady State and Linear Problem / p80 (0049.jp2)
- 6.5 Tree/Co-Tree Technique of Imposing Gauge Condition / p87 (0052.jp2)
- 6.6 Modeling of Source Currents / p94 (0056.jp2)
- 7 Numerical Model for Soft Anisotropic Materials / p103 (0060.jp2)
- 7.1 Introduction / p103 (0060.jp2)
- 7.2 Physical Concept of Energy/Coenergy Based Model of Anisotropy / p104 (0061.jp2)
- 7.3 Energetic Model of Anisotropy / p106 (0062.jp2)
- 7.4 Reconstruction of the Hq component / p114 (0066.jp2)
- 7.5 Conclusions / p120 (0069.jp2)
- 8 Program Verification / p121 (0069.jp2)
- 8.1 Introduction / p121 (0069.jp2)
- 8.2 Generation of Meshes for Test Problems / p122 (0070.jp2)
- 8.3 The Test Problems / p125 (0071.jp2)
- 9 Adaptive Mesh Refinement of Tetrahedral Meshes / p173 (0095.jp2)
- 9.1 Introduction / p173 (0095.jp2)
- 9.2 Concept of the Adaptive Mesh Refinement / p175 (0096.jp2)
- 9.3 Delaunay Tessellation and Delaunay Meshes / p177 (0097.jp2)
- 9.4 Handling Boundary Conditions, Excitations and Material Data / p178 (0098.jp2)
- 9.5 The Error Estimates / p179 (0098.jp2)
- 9.6 Refinement Algorithm for Tetrahedral Meshes / p190 (0104.jp2)
- 9.7 Error Convergence Test / p200 (0109.jp2)
- 9.8 Mesh Quality Measure / p200 (0109.jp2)
- 9.9 Verification of the Refinement Algorithm / p201 (0109.jp2)
- Conclusions / p211 (0114.jp2)
- References / p215 (0116.jp2)
- Appendix / p222 (0120.jp2)