Initial and boundary conditions for hyperbolic divergence cleaning for Maxwell's solvers

DOI10.1080/00036811.2020.1757080zbMath1490.35475OpenAlexW3022036128MaRDI QIDQ5065527

Vincent Mouysset, Bruno Fornet

Publication date: 22 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1757080

zbMATH Keywords

Maxwell's equationsboundary conditiondivergence cleaningpure hyperbolic correction

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Antennas, waveguides in optics and electromagnetic theory (78A50) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Cites Work

• Divergence correction techniques for Maxwell solvers based on a hyperbolic model
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• MATHEMATICAL STUDY OF A HYPERBOLIC REGULARIZATION TO ENSURE GAUSS' LAW CONSERVATION IN MAXWELL–VLASOV APPLICATIONS
• Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
• Maxwell's equations when the charge conservation is not satisfied
• Finite Element Methods for Maxwell's Equations
• Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations
• Gauss-compatible Galerkin schemes for time-dependent Maxwell equations

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