Fully discrete finite element approximation for a family of degenerate parabolic mixed equations

DOI10.1016/j.camwa.2021.05.010OpenAlexW3167394991MaRDI QIDQ2034925

Christian Gómez, Ramiro Acevedo, Bibiana López-Rodríguez

Publication date: 23 June 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02607

zbMATH Keywords

error estimatesfinite element methoddegenerate parabolic equationsmixed problemsfully-discrete approximationeddy current model

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items

Finite element error estimates for a mixed degenerate parabolic model ⋮ Numerical analysis of nonlinear degenerate parabolic problems with application to eddy current models ⋮ Existence results for a class of two-fold saddle point parabolic differential equations ⋮ A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body

Cites Work

• Unnamed Item
• A transient eddy current problem on a moving domain. Numerical analysis
• Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem
• Eddy current approximation of Maxwell equations. Theory, algorithms and applications
• A stable finite element for the Stokes equations
• Theory and practice of finite elements.
• Well-posedness of a family of degenerate parabolic mixed equations
• A boundary and finite element coupling for a magnetically nonlinear eddy current problem
• Numerical analysis of a penalty approach for the solution of a transient eddy current problem
• An adaptive finite element method for the H-\(\psi\) formulation of time-dependent eddy current problems
• Numerical analysis of electric field formulations of the eddy current model
• Incompressible Flow
• Numerical solution of transient eddy current problems with input current intensities as boundary data
• An E-based mixed FEM and BEM coupling for a time-dependent eddy current problem
• An 𝐸-based mixed formulation for a time-dependent eddy current problem
• A Conforming Finite Element Method for the Time-Dependent Navier–Stokes Equations
• Finite Element Methods for Navier-Stokes Equations
• Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
• Error estimates for some mixed finite element methods for parabolic type problems
• Vector potentials in three-dimensional non-smooth domains
• An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
• A mixed–FEM and BEM coupling for a three-dimensional eddy current problem
• A Justification of Eddy Currents Model for the Maxwell Equations
• Analysis of Finite Element Approximation of Evolution Problems in Mixed Form
• A Finite Element Method with Lagrange Multipliers for Low-Frequency Harmonic Maxwell Equations
• An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions
• A Transient Eddy Current Problem on a Moving Domain. Mathematical Analysis