Implicit integration of the TDGL equations of superconductivity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2000
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| _version_ | 1866909853257039872 |
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| author | Gunter, D. O. Kaper, H. G. Leaf, G. K. |
| author_facet | Gunter, D. O. Kaper, H. G. Leaf, G. K. |
| contents | This article is concerned with the integration of the time-dependent Ginzburg--Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy, and compute time. The benchmark problem for the evaluation is the equilibration of a vortex configuration in a superconductor that is embedded in a thin insulator and subject to an applied magnetic field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0007081 |
| institution | arXiv |
| publishDate | 2000 |
| record_format | arxiv |
| spellingShingle | Implicit integration of the TDGL equations of superconductivity Gunter, D. O. Kaper, H. G. Leaf, G. K. Numerical Analysis 65M12, 82D55; 35K55 This article is concerned with the integration of the time-dependent Ginzburg--Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy, and compute time. The benchmark problem for the evaluation is the equilibration of a vortex configuration in a superconductor that is embedded in a thin insulator and subject to an applied magnetic field. |
| title | Implicit integration of the TDGL equations of superconductivity |
| topic | Numerical Analysis 65M12, 82D55; 35K55 |
| url | https://arxiv.org/abs/math/0007081 |