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We provide optimal error estimates in $L^2$-norm for the order parameter $\\psi_h$ and the magnetic field $\\sigma_h$ unconditionally, although the accuracy of the numerical magnetic potential $\\mathbf{A}_h$ is one-order lower than the optimal one due to the degeneracy of the magnetic potential equation. Since the states of superconductors are determined by the order parameter $\\psi_h$ (or the density of the superconducting electron pairs $|\\psi_h|$), the accuracy of $\\psi_h$ is more important for the vortex simulation in superconditors. Our analysis is based on a nonclassical Ritz projection, which may reduce the pollution of inaccuracy of the numerical magnetic potential in analysis. Numerical experiments confirm our theoretical analysis.<\/jats:p>","DOI":"10.1137\/17m113544x","type":"journal-article","created":{"date-parts":[[2018,5,15]],"date-time":"2018-05-15T11:00:32Z","timestamp":1526382032000},"page":"1291-1312","source":"Crossref","is-referenced-by-count":15,"title":["Analysis of Galerkin FEMs for Mixed Formulation of Time-Dependent Ginzburg--Landau Equations Under Temporal Gauge"],"prefix":"10.1137","volume":"56","author":[{"given":"Chengda","family":"Wu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weiwei","family":"Sun","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,5,15]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-010-9580-8"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3658-8"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1137\/0727036"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/BF02575943"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1137\/1034114"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1002\/mma.1670161203"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142900377991"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/10\/3\/001"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(94)90091-4"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1063\/1.2012127"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1137\/1034003"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1007\/s006050170020"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19960761427"},{"key":"atypb14","first-page":"9568","volume-title":"Adv. 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