Discontinuous finite element methods for a bi-wave equation modeling $d$-wave superconductors

DOI10.1090/S0025-5718-2010-02436-6zbMath1222.82085OpenAlexW1998806398MaRDI QIDQ3015038

Xiaobing Feng, Michael Neilan

Publication date: 8 July 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02436-6

zbMATH Keywords

discontinuous Galerkin methoderror estimate\(d\)-wave superconductorbi-wave equationMorley-type nonconforming element

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Statistical mechanics of superconductors (82D55) Ginzburg-Landau equations (35Q56)

Related Items

Quasi‐uniform convergence analysis of a modified penalty finite element method for nonlinear singularly perturbed bi‐wave problem, Unnamed Item, Uniform Superconvergence Analysis of a Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors, Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed bi-wave equation, Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem, Quasi-uniform and unconditional superconvergence analysis of Ciarlet-Raviart scheme for the fourth order singularly perturbed bi-wave problem modeling \(d\)-wave superconductors, Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem

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