Residual-based a posteriori error estimates for the time-dependent Ginzburg-Landau equations of superconductivity
DOI10.1007/s10915-022-02041-0zbMath1503.65226OpenAlexW4308531379MaRDI QIDQ2103466
Publication date: 13 December 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-02041-0
finite element methodadaptive algorithmGinzburg-Landau equationa posteriori error estimatesnonconvex domain
Initial-boundary value problems for second-order parabolic equations (35K20) 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) Statistical mechanics of superconductors (82D55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Ginzburg-Landau equations (35Q56)
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Cites Work
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- An adaptive FEM for a Maxwell interface problem
- Computation of Maxwell singular solution by nodal-continuous elements
- An efficient fully linearized semi-implicit Galerkin-mixed FEM for the dynamical Ginzburg-Landau equations of superconductivity
- \(C ^{0}\) elements for generalized indefinite Maxwell equations
- Analysis of linearized Galerkin-mixed FEMs for the time-dependent Ginzburg-Landau equations of superconductivity
- Mixed finite elements in \(\mathbb{R}^3\)
- Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem
- Singularities of electromagnetic fields in polyhedral domains
- A regularity criterion to the time-dependent Ginzburg-Landau model for superconductivity in \(\mathbb{R}^n\)
- A stabilized semi-implicit Euler gauge-invariant method for the time-dependent Ginzburg-Landau equations
- Implicit Integration of the Time-Dependent Ginzburg--Landau Equations of Superconductivity
- A Finite Element Method for a Curlcurl-Graddiv Eigenvalue Interface Problem
- A New Mixed Formulation and Efficient Numerical Solution of Ginzburg--Landau Equations Under the Temporal Gauge
- A linearized Crank–Nicolson–Galerkin FEM for the time‐dependent Ginzburg–Landau equations under the temporal gauge
- Convergence of linearized backward Euler–Galerkin finite element methods for the time-dependent Ginzburg–Landau equations with temporal gauge
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- The Local $L^2$ Projected $C^0$ Finite Element Method for Maxwell Problem
- Finite Element Methods for Navier-Stokes Equations
- Simulating vortex motion in superconducting films with the time-dependent Ginzburg - Landau equations
- Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
- Macroscopic Models for Superconductivity
- Vector potentials in three-dimensional non-smooth domains
- Analysis of Galerkin FEMs for Mixed Formulation of Time-Dependent Ginzburg--Landau Equations Under Temporal Gauge
- Vortex dynamics of the full time‐dependent Ginzburg‐Landau equations
- Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
- Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity
- Efficient Numerical Solution of Dynamical Ginzburg-Landau Equations under the Lorentz Gauge
- Numerical solution of the time dependent Ginzburg-Landau equations for mixed (d + s)-wave superconductors
- Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity
- A Least-Squares Finite Element Method for the Magnetostatic Problem in A Multiply Connected Lipschitz Domain
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
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