Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg--Landau Model in Superconductivity
From MaRDI portal
Publication:2706395
DOI10.1137/S0036142998349102zbMath0987.65096OpenAlexW2056598374MaRDI QIDQ2706395
Publication date: 19 March 2001
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142998349102
stabilityerror estimatesmagnetic fieldnonlinear parabolic equationserror controlsuperconductivitymotion of vorticestime-dependent Ginzburg-Landau system
Nonlinear parabolic equations (35K55) Statistical mechanics of superconductors (82D55) 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)
Related Items
A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations, A new compact finite difference scheme for solving the complex Ginzburg-Landau equation, An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems, Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems, A posteriori error estimate for finite volume element method of the parabolic equations, Convergence of a decoupled mixed FEM for the dynamic Ginzburg-Landau equations in nonsmooth domains with incompatible initial data, A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations, Mathematical and numerical analysis of the time-dependent GinzburgâLandau equations in nonconvex polygons based on Hodge decomposition, Sharp đżÂč a posteriori error analysis for nonlinear convection-diffusion problems, Global well-posedness of the time-dependent Ginzburg-Landau superconductivity model in curved polyhedra, A Hodge Decomposition Method for Dynamic GinzburgâLandau Equations in Nonsmooth Domains â A Second Approach, An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems, Adaptive techniques for Landau-Lifshitz-Gilbert equation with magnetostriction, Numerical simulations of the quantized vortices on a thin superconducting hollow sphere, Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations, An adaptive finite element method for the H-\(\psi\) formulation of time-dependent eddy current problems, Error estimates for Landau-Lifshitz-Gilbert equation with magnetostriction, Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation, Residual-based a posteriori error estimates of nonconforming finite element method for elliptic problems with Dirac delta source terms, Adaptive finite element frequency domain method for eddy current problems, Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation, An upwinding mixed finite element method for a mean field model of superconducting vortices, Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation, An Adaptive Finite Element Method for the Diffraction Grating Problem with Transparent Boundary Condition, Numerical approximations of the GinzburgâLandau models for superconductivity, An efficient iterative method for dynamical Ginzburg-Landau equations, A linearized CrankâNicolsonâGalerkin FEM for the timeâdependent GinzburgâLandau equations under the temporal gauge
