A New Fractional Step Structure Preserving Method for The Landau-Lifshitz-Gilbert Equation
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908897109868544 |
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| author | Xie, Changjian |
| author_facet | Xie, Changjian |
| contents | In this paper, we propose a structure preserving method using a Crank-Nicolson's type method with an implicit Gauss-Seidel fractional iteration. Such a method is of first-order accuracy in time and second-order accuracy in space, stable and length preserving. Such a proposed method brings great benefits for the theoretical analysis. The numerical accuracy, norm preserving and stability are verified for 1D and 3D tests. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17477 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A New Fractional Step Structure Preserving Method for The Landau-Lifshitz-Gilbert Equation Xie, Changjian Numerical Analysis In this paper, we propose a structure preserving method using a Crank-Nicolson's type method with an implicit Gauss-Seidel fractional iteration. Such a method is of first-order accuracy in time and second-order accuracy in space, stable and length preserving. Such a proposed method brings great benefits for the theoretical analysis. The numerical accuracy, norm preserving and stability are verified for 1D and 3D tests. |
| title | A New Fractional Step Structure Preserving Method for The Landau-Lifshitz-Gilbert Equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2603.17477 |