Unique solvability for high-frequency heterogeneous time-harmonic Maxwell equations via the Fredholm alternative theory
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Publication:4213561
DOI<463::AID-MMA947>3.0.CO;2-U 10.1002/(SICI)1099-1476(199804)21:6<463::AID-MMA947>3.0.CO;2-UzbMath0923.35178OpenAlexW2082324154MaRDI QIDQ4213561
Alberto Valli, Ana M. Alonso Rodriguez
Publication date: 31 October 1999
Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199804)21:6<463::aid-mma947>3.0.co;2-u
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15)
Related Items (11)
ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO MAXWELL'S EQUATIONS IN BOUNDED DOMAINS WITH APPLICATION TO MAGNETOTELLURICS ⋮ Eddy current approximation in Maxwell obstacle problems ⋮ A Symmetric Low-Frequency Stable Broadband Maxwell Formulation for Industrial Applications ⋮ Finite element computation of magnetic field problems with the displacement current. ⋮ On $L^r$ Estimates for Maxwell's Equations with Complex Coefficients in Lipschitz Domains ⋮ UNIQUE SOLVABILITY FOR ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS IN THE PRESENCE OF PARTLY LOSSY INHOMOGENEOUS ANISOTROPIC MEDIA AND MIXED BOUNDARY CONDITIONS ⋮ On the coefficients of the singularities of the solution of Maxwell's equations near polyhedral edges ⋮ Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media ⋮ Analysis of Variational Formulations and Low-regularity Solutions for Time-harmonic Electromagnetic Problems in Complex Anisotropic Media ⋮ An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations ⋮ The research of Alberto Valli
Cites Work
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- Erratum to: On generalized harmonic fields in domains with anisotropic nonhomogeneous media
- A variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three dimensional domains
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- Some remarks on the characterization of the space of tangential traces of \(H(\text{rot}; \Omega)\) and the construction of an extension operator
- On the boundary value problems of electro- and magnetostatics
- Finite Element Methods for Navier-Stokes Equations
- A local compactness theorem for Maxwell's equations
- A remark on a compactness result in electromagnetic theory
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