UNIQUE SOLVABILITY FOR ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS IN THE PRESENCE OF PARTLY LOSSY INHOMOGENEOUS ANISOTROPIC MEDIA AND MIXED BOUNDARY CONDITIONS

DOI10.1142/S0218202503002672zbMath1073.35202OpenAlexW2006742571MaRDI QIDQ3043553

Mirco Raffetto, Ana M. Alonso Rodriguez

Publication date: 6 August 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202503002672

zbMATH Keywords

existenceuniquenessmixed boundary conditionsinhomogeneous anisotropic mediaelectromagnetic boundary value problems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25)

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Smoothed projections and mixed boundary conditions ⋮ A Symmetric Low-Frequency Stable Broadband Maxwell Formulation for Industrial Applications ⋮ About the gauge conditions arising in finite element magnetostatic problems ⋮ Systems of Differential Algebraic Equations in Computational Electromagnetics ⋮ Existence, uniqueness and finite element approximation of the solution of time‐harmonic electromagnetic boundary value problems involving metamaterials ⋮ Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system ⋮ WELL-POSEDNESS AND FINITE ELEMENT APPROXIMABILITY OF TIME-HARMONIC ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS INVOLVING BIANISOTROPIC MATERIALS AND METAMATERIALS ⋮ Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media ⋮ Mixed boundary-value problems for Maxwell’s equations ⋮ Well posedness and finite element approximability of two-dimensional time-harmonic electromagnetic problems involving non-conducting moving objects with stationary boundaries

Cites Work

• Unnamed Item
• An elementary proof for a compact imbedding result in generalized electromagnetic theory
• Uniqueness To the Solution of Electromagnetic Boundary Value Problems in the Presence of Partly Lossy Chiral Media
• Low-frequency asymptotics for dissipative Maxwell's equations in bounded domains
• Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
• A local compactness theorem for Maxwell's equations
• Unique solvability for high-frequency heterogeneous time-harmonic Maxwell equations via the Fredholm alternative theory
• A compactness result for vector fields with divergence and curl in L^q(ω) involving mixed boundary conditions
• On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
• HODGE DECOMPOSITIONS ON THE BOUNDARY OF NONSMOOTH DOMAINS: THE MULTI-CONNECTED CASE

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