Mixed conforming elements for the large-body limit in micromagnetics (Q2873525)
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scientific article; zbMATH DE number 6250066
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed conforming elements for the large-body limit in micromagnetics |
scientific article; zbMATH DE number 6250066 |
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24 January 2014
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micromagnetism
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relaxation
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nonconvex minimization
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stabilized method
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adaptive finite element method
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a posteriori error estimator
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numerical example
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0.90335584
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0.8921536
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0.88499045
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0.87375295
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0.87097114
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0.8599114
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0.8598156
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Mixed conforming elements for the large-body limit in micromagnetics (English)
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This paper deals with the mathematical and numerical analysis of a nonconvex full-space minimization problem, which is related with the Landau-Lifshitz model that describes the magnetization states. The authors are concerned with the well-posedness of the discrete problem for higher-order elements. The a priori analysis for lowest-order elements is also developed, and a residual-based a posteriori error estimator is introduced. Numerical examples include several relevant points, such as uniform mesh refinement in two dimensions.
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