Numerical analysis of a FEM based on a time-primitive of the electric field for solving a nonlinear transient eddy current problem
DOI10.1016/j.apnum.2023.06.009zbMath1528.78003MaRDI QIDQ6086879
Bibiana López-Rodríguez, Pilar Salgado, Christian Gómez, Ramiro Acevedo
Publication date: 10 November 2023
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
error estimatesfinite elementsnonlinear transient eddy current problemnonlinear degenerate parabolic problemtime-primitive of electric field
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25)
Cites Work
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- Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem
- Fully discrete potential-based finite element methods for a transient eddy current problem
- Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes
- Eddy current approximation of Maxwell equations. Theory, algorithms and applications
- Numerical analysis of a transient non-linear axisymmetric eddy current model
- A boundary and finite element coupling for a magnetically nonlinear eddy current problem
- \(A\)-\(\phi\) formulation of a mathematical model for the induction hardening process with a nonlinear law for the magnetic field
- Numerical analysis of nonlinear multiharmonic eddy current problems
- 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 time discretization scheme for a non-linear degenerate eddy current model for ferromagnetic materials
- Finite Element Methods for Navier-Stokes Equations
- Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
- Finite element solution of quasistationary nonlinear magnetic field
- An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions
- Finite element quasi-interpolation and best approximation
- Numerical analysis of nonlinear degenerate parabolic problems with application to eddy current models
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