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Numerical approximation of critical points of the Ginzburg–Landau functional

✍ Scribed by J.W. Neuberger; R.J. Renka

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
424 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

We describe a method for approximating critical points of the Ginzburg-Landau functional. Several numerical methods for implementing the basic algorithm are compared for efficiency on a simple test problem. We also present test results describing a sequence of critical points associated with increasing values of the external magnetic field.

📜 SIMILAR VOLUMES

Limiting Behavior of the Ginzburg–Landau
Limiting Behavior of the Ginzburg–Landau Functional
✍ Robert L. Jerrard; Halil Mete Soner 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 319 KB

approximated by smooth S 2 -valued maps. More recently, the authors in proved, as a special case of more general results, that if u 2 W 1;1 \ L 1 ðR 2 ; S 1 Þ and the distributional Jacobian of u is a Radon measure, then this measure must be atomic. Similar results are found in the work of Giaquint