Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity
DOI10.1137/22m1483670zbMath1514.65128OpenAlexW4366990424MaRDI QIDQ6040290
Publication date: 24 May 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/22m1483670
Ginzburg-Landau equationsuperconductivitymixed finite elementoptimal error estimatelowest-order approximation
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) Ginzburg-Landau equations (35Q56)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- An efficient fully linearized semi-implicit Galerkin-mixed FEM for the dynamical Ginzburg-Landau equations of superconductivity
- Global well-posedness of the time-dependent Ginzburg-Landau superconductivity model in curved polyhedra
- Magnetic flux lines in complex geometry type-II superconductors studied by the time dependent Ginzburg-Landau equation
- Iterative techniques for time dependent Stokes problems
- A fast semi-implicit finite-difference method for the TDGL equations
- Automated solution of differential equations by the finite element method. The FEniCS book
- Analysis of linearized Galerkin-mixed FEMs for the time-dependent Ginzburg-Landau equations of superconductivity
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Mixed finite element methods for a dynamical Ginzburg-Landau model in superconductivity
- Multigrid preconditioners for mixed finite element methods of the vector Laplacian
- Convergence of a decoupled mixed FEM for the dynamic Ginzburg-Landau equations in nonsmooth domains with incompatible initial data
- Time dependent Ginzburg-Landau equations of superconductivity
- Numerical simulation of vortex dynamics in type-II superconductors
- A stabilized semi-implicit Euler gauge-invariant method for the time-dependent Ginzburg-Landau equations
- A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations
- Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field
- Implicit Integration of the Time-Dependent Ginzburg--Landau Equations of Superconductivity
- A New Mixed Formulation and Efficient Numerical Solution of Ginzburg--Landau Equations Under the Temporal Gauge
- A Simple Introduction to the Mixed Finite Element Method
- Mathematical and numerical analysis of the time-dependent Ginzburg–Landau equations in nonconvex polygons based on Hodge decomposition
- Finite elements in computational electromagnetism
- Numerical solution of saddle point problems
- Numerical approximations of the Ginzburg–Landau models for superconductivity
- Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems
- Finite element exterior calculus: from Hodge theory to numerical stability
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Finite Element Methods for Navier-Stokes Equations
- Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
- Mixed and Hybrid Finite Element Methods
- An Alternating Crank--Nicolson Method for Decoupling the Ginzburg--Landau Equations
- On a non‐stationary Ginzburg–Landau superconductivity model
- A Linearized Crank-Nicolson-Galerkin Method for the Ginzburg-Landau Model
- Analysis of Galerkin FEMs for Mixed Formulation of Time-Dependent Ginzburg--Landau Equations Under Temporal Gauge
- Numerical effects in the simulation of Ginzburg–Landau models for superconductivity
- Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity
- Optimal error estimates and recovery technique of a mixed finite element method for nonlinear thermistor equations
- New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media
- A Hodge Decomposition Method for Dynamic Ginzburg–Landau Equations in Nonsmooth Domains — A Second Approach
- Vortex Solutions of the High-$\kappa$ High-Field Ginzburg–Landau Model with an Applied Current
- Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity
- Ginzburg-Landau vortices
This page was built for publication: Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity