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Please use this identifier to cite or link to this item:
http://hdl.handle.net/1783.1/1778
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| Title: | Numerical algorithms of the Lawrence-Doniach model for layered superconductors and their parallel implementation |
| Authors: | Du, Qiang
Gray, Paul |
| Keywords: | Superconductivity
Lawrence-Doniach model
Layered superconductors
Parallel computing
Parallel virtual machine |
| Issue Date: | Jul-1999 |
| Citation: | SIAM journal on scientific computing, v. 20, no. 6, p. 2122-2139 |
| Abstract: | The Lawrence-Doniach model is often used for studying vortex dynamics in superconductors which exhibit a layered structure. In solving these model equations numerically, the added degrees of complexity due to the coupling and nonlinearity of the model often warrant the extensive use of high-performance computers for their solution. Approaches for reducing the complexity of the Lawrence-Doniach model and for simplifying the calculation of the numerical solution are presented in this work. Numerical results and benchmarks are included for models involving the motion of vortices due to an applied current and the pinning of vortices due to nonuniform pinning sites (normal inclusions) placed within the material. |
| Rights: | Copyright © SIAM. This paper is made available with permission of the Society for Industrial and Applied Mathematics for limited noncommerical distribution only. |
| URI: | http://hdl.handle.net/1783.1/1778 |
| Appears in Collections: | MATH Journal/Magazine Articles
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