Unconditional Superconvergence Analysis of an H¹-Galerkin Mixed Finite Element Method for Two-Dimensional Ginzburg-Landau Equation

DOI10.4208/JCM.1802-M2017-0198zbMath1449.65258OpenAlexW2907818350MaRDI QIDQ5209456

Junjun Wang, Dong-Yang Shi

Publication date: 22 January 2020

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

Full work available at URL: https://doi.org/10.4208/jcm.1802-m2017-0198

zbMATH Keywords

temporal and spatial errorstwo-dimensional Ginzburg-Landau equation\({H^1}\)-Galerkin MFEMsuperconvergent results

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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Ginzburg-Landau equations (35Q56)

Related Items (2)

Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping ⋮ A new error analysis of backward Euler Galerkin finite element method for two-dimensional time-dependent Ginzburg-Landau equation

This page was built for publication: Unconditional Superconvergence Analysis of an H¹-Galerkin Mixed Finite Element Method for Two-Dimensional Ginzburg-Landau Equation