%0 Journal Article %1 du1992analysis %A Du, Qiang %A Gunzburger, Max D. %A Peterson, Janet S. %D 1992 %I Society for Industrial & Applied Mathematics (SIAM) %J SIAM Review %K 35j60-pdes-nonlinear-elliptic 35q56-ginzburg-landau-equations 35q60-pdes-in-connection-with-optics-and-electromagnetic-theory 65n30-pdes-bvps-finite-elements 65z05-applications-of-numerical-analysis-to-physics 82d55-statistical-mechanics-of-superconductors %N 1 %P 54--81 %R 10.1137/1034003 %T Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity %U https://epubs.siam.org/doi/10.1137/1034003 %V 34 %X The authors consider the Ginzburg–Landau model for superconductivity. First some well-known features of superconducting materials are reviewed and then various results concerning the model, the resultant differential equations, and their solution on bounded domains are derived. Then, finite element approximations of the solutions of the Ginzburg–Landau equations are considered and error estimates of optimal order are derived.

@article{du1992analysis, abstract = {The authors consider the Ginzburg–Landau model for superconductivity. First some well-known features of superconducting materials are reviewed and then various results concerning the model, the resultant differential equations, and their solution on bounded domains are derived. Then, finite element approximations of the solutions of the Ginzburg–Landau equations are considered and error estimates of optimal order are derived. }, added-at = {2022-02-15T03:39:45.000+0100}, author = {Du, Qiang and Gunzburger, Max D. and Peterson, Janet S.}, biburl = {https://www.bibsonomy.org/bibtex/20577b839d4f78a3ebcd7788db02a2e92/gdmcbain}, description = {Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity | SIAM Review | Vol. 34, No. 1 | Society for Industrial and Applied Mathematics}, doi = {10.1137/1034003}, interhash = {7a06bbc59a7e8c5109bd8148c1e79d67}, intrahash = {0577b839d4f78a3ebcd7788db02a2e92}, journal = {{SIAM} Review}, keywords = {35j60-pdes-nonlinear-elliptic 35q56-ginzburg-landau-equations 35q60-pdes-in-connection-with-optics-and-electromagnetic-theory 65n30-pdes-bvps-finite-elements 65z05-applications-of-numerical-analysis-to-physics 82d55-statistical-mechanics-of-superconductors}, month = mar, number = 1, pages = {54--81}, publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})}, timestamp = {2022-02-15T03:39:45.000+0100}, title = {Analysis and Approximation of the Ginzburg{\textendash}Landau Model of Superconductivity}, url = {https://epubs.siam.org/doi/10.1137/1034003}, volume = 34, year = 1992 }