Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity (Q6040290)

scientific article; zbMATH DE number 7688694

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English	Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity	scientific article; zbMATH DE number 7688694

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instance of

scholarly article

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title

Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity (English)

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SIAM Journal on Numerical Analysis

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publication date

24 May 2023

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zbMATH Keywords

Ginzburg-Landau equation

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lowest-order approximation

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mixed finite element

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optimal error estimate

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superconductivity

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1137/22m1483670

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cites work

Magnetic flux lines in complex geometry type-II superconductors studied by the time dependent Ginzburg-Landau equation

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Ginzburg-Landau vortices

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Iterative techniques for time dependent Stokes problems

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Mixed and Hybrid Finite Element Methods

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Multigrid preconditioners for mixed finite element methods of the vector Laplacian

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Mixed finite element methods for a dynamical Ginzburg-Landau model in superconductivity

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On a non‐stationary Ginzburg–Landau superconductivity model

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Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions

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Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity

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Numerical approximations of the Ginzburg–Landau models for superconductivity

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Vortex Solutions of the High-$\kappa$ High-Field Ginzburg–Landau Model with an Applied Current

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Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems

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A stabilized semi-implicit Euler gauge-invariant method for the time-dependent Ginzburg-Landau equations

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Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity

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An efficient fully linearized semi-implicit Galerkin-mixed FEM for the dynamical Ginzburg-Landau equations of superconductivity

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A New Mixed Formulation and Efficient Numerical Solution of Ginzburg--Landau Equations Under the Temporal Gauge

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Analysis of linearized Galerkin-mixed FEMs for the time-dependent Ginzburg-Landau equations of superconductivity

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Optimal error estimates and recovery technique of a mixed finite element method for nonlinear thermistor equations

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A Simple Introduction to the Mixed Finite Element Method

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Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

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Finite Element Methods for Navier-Stokes Equations

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Numerical simulation of vortex dynamics in type-II superconductors

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Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field

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A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations

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Global well-posedness of the time-dependent Ginzburg-Landau superconductivity model in curved polyhedra

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Mathematical and numerical analysis of the time-dependent Ginzburg–Landau equations in nonconvex polygons based on Hodge decomposition

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A Hodge Decomposition Method for Dynamic Ginzburg–Landau Equations in Nonsmooth Domains — A Second Approach

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Convergence of a decoupled mixed FEM for the dynamic Ginzburg-Landau equations in nonsmooth domains with incompatible initial data

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Automated solution of differential equations by the finite element method. The FEniCS book

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A Linearized Crank-Nicolson-Galerkin Method for the Ginzburg-Landau Model

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An Alternating Crank--Nicolson Method for Decoupling the Ginzburg--Landau Equations

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Numerical effects in the simulation of Ginzburg–Landau models for superconductivity

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New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media

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Time dependent Ginzburg-Landau equations of superconductivity

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A fast semi-implicit finite-difference method for the TDGL equations

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Analysis of Galerkin FEMs for Mixed Formulation of Time-Dependent Ginzburg--Landau Equations Under Temporal Gauge

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Identifiers

zbMATH Open document ID

1514.65128

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DOI

10.1137/22m1483670

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6040290