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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.12003 |
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| _version_ | 1866916693188542464 |
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| author | Gobrial, Mario Domenig, Lukas Reichelt, Michael Kaltenbacher, Manfred Steinbach, Olaf |
| author_facet | Gobrial, Mario Domenig, Lukas Reichelt, Michael Kaltenbacher, Manfred Steinbach, Olaf |
| contents | In this note we discuss the numerical solution of the eddy current approximation of the Maxwell equations using the simple Pragmatic Algebraic Model to include hysteresis effects. In addition to the more standard time-stepping approach we propose a space-time finite element method which allows both for parallelization and adaptivity simultaneously in space and time. Numerical experiments confirm both approaches yield the same numerical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12003 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inclusion of an Inverse Magnetic Hysteresis Model into the Space-Time Finite Element Method for Magnetoquasistatics Gobrial, Mario Domenig, Lukas Reichelt, Michael Kaltenbacher, Manfred Steinbach, Olaf Numerical Analysis In this note we discuss the numerical solution of the eddy current approximation of the Maxwell equations using the simple Pragmatic Algebraic Model to include hysteresis effects. In addition to the more standard time-stepping approach we propose a space-time finite element method which allows both for parallelization and adaptivity simultaneously in space and time. Numerical experiments confirm both approaches yield the same numerical results. |
| title | Inclusion of an Inverse Magnetic Hysteresis Model into the Space-Time Finite Element Method for Magnetoquasistatics |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2504.12003 |