## Abstract

Some micromagnetic phenomena can be modelled by a minimization problem of a nonconvex energy. A numerical method to compute the micromagnetic field, which gives rise to a finite dimensional unconstrained minimization problem, is given and analyzed. In our method, the Maxwell's equation defined on the whole space is solved by a finite element method using artificial boundary, and the highly oscillatory magnetization structure is approximated by an element-wise constant Young measure supported on a finite number of unknown points on the unit sphere. Numerical experiments on some uniaxial and cubic anisotropic energy densities show that the method is efficient.

Original language | English |
---|---|

Pages (from-to) | 69-88 |

Number of pages | 20 |

Journal | Applied Numerical Mathematics |

Volume | 51 |

Issue number | 1 |

DOIs | |

Publication status | Published - Oct 2004 |

## Scopus Subject Areas

- Numerical Analysis
- Computational Mathematics
- Applied Mathematics

## User-Defined Keywords

- Artificial boundary
- Finite element method
- Micromagnetic
- Microstructure
- Nonconvex energy minimization
- Unbounded domain
- Young measure