Multi-atomic Young Measure and Artificial Boundary in Approximation of Micromagnetics

@inproceedings{Zhiping2004MultiatomicYM,
  title={Multi-atomic Young Measure and Artificial Boundary in Approximation of Micromagnetics},
  author={Li Zhiping and WU XIAONAN},
  year={2004}
}
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… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 18 references

Relaxation in Optimization Theory and Variational Calculus

  • T. Roub́iček
  • W. de Gruyter, Berlin-New York,
  • 1997
Highly Influential
6 Excerpts

Approximation of infinite boundary condition and its application to finite element methods

  • H. Han, X. Wu
  • J. Comp. Math., 3
  • 1985
Highly Influential
4 Excerpts

A periodic relaxation method for computing microstructures

  • Z. Li
  • Appl. Numer. Math., 32
  • 2000
1 Excerpt

Finite order rank-one convex envelopes and computation of microstructures with laminates in laminates

  • Z. Li
  • BIT Numer. Math., 40(4)
  • 2000
1 Excerpt

Similar Papers

Loading similar papers…