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Optimal analysis of non-uniform Galerkin-mixed finite element approximations to the Ginzburg–Landau equations in superconductivity
This paper is concerned with new error analysis of a lowest-order backward Euler Galerkin-
mixed finite element method for the time-dependent Ginzburg–Landau equations. The …
mixed finite element method for the time-dependent Ginzburg–Landau equations. The …
Local null controllability for the thermistor problem
In this paper, we deal with the local null controllability of an initial boundary value problem
for a thermistor equation. The control is distributed, locally in space. The main ingredients of …
for a thermistor equation. The control is distributed, locally in space. The main ingredients of …
Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator
D Shi, H Zhang - Computers & Mathematics with Applications, 2022 - Elsevier
This paper aims to consider the energy-preserving finite element method (FEM) for the
general nonlinear Schrödinger equation with wave operator. Optimal error estimates and …
general nonlinear Schrödinger equation with wave operator. Optimal error estimates and …
Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations
YB Yang, YL Jiang - Applied Numerical Mathematics, 2023 - Elsevier
This paper is concerned with the optimal error estimates of a classical Galerkin-mixed finite
element method (FEM) for the thermoviscoelastic Joule heating equations, which couples …
element method (FEM) for the thermoviscoelastic Joule heating equations, which couples …
A new error analysis and post-processing technique of the lowest-order Raviart–Thomas mixed finite element method for parabolic problems
We consider error estimates and post-processing technique of the lowest order Raviart–
Thomas mixed finite element method for parabolic problems. A super-convergence of the …
Thomas mixed finite element method for parabolic problems. A super-convergence of the …
Existence of capacity solution for a nonlocal thermistor problem in Musielak–Orlicz–Sobolev spaces
I Dahi, MR Sidi Ammi - Annals of Functional Analysis, 2023 - Springer
In this work, we study the existence of a capacity solution for a nonlocal thermistor problem
in Musielak–Orlicz–Sobolev spaces. We get the existence of capacity solution using the …
in Musielak–Orlicz–Sobolev spaces. We get the existence of capacity solution using the …
Higher-order multiscale method and its convergence analysis for nonlinear thermo-electric coupling problems of composite structures
This paper proposes a higher-order multiscale computational method for nonlinear thermo-
electric coupling problems of composite structures, which possess temperature-dependent …
electric coupling problems of composite structures, which possess temperature-dependent …
[PDF][PDF] SUPERCONVERGENCE ERROR ESTIMATES OF THE LOWEST-ORDER RAVIART-THOMAS GALERKIN MIXED FINITE ELEMENT METHOD FOR …
H Yang, D Shi - doc.global-sci.org
This paper is concerned with the superconvergence error estimates of a classical mixed
finite element method for a nonlinear parabolic/elliptic coupled thermistor equations. The …
finite element method for a nonlinear parabolic/elliptic coupled thermistor equations. The …