Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media

DOI10.1007/978-3-319-58786-8_7zbMath1388.78018OpenAlexW2735357385MaRDI QIDQ4637153

Martin W. Hess, Peter Benner

Publication date: 18 April 2018

Published in: Model Reduction of Parametrized Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-58786-8_7

zbMATH Keywords

Maxwell's equationsPOD-greedy and ID-greedy samplingreduced basis model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Antennas, waveguides in optics and electromagnetic theory (78A50) Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) (68T20) Waves and radiation in optics and electromagnetic theory (78A40) Second-order hyperbolic equations (35L10) Model reduction in optics and electromagnetic theory (78M34)

Related Items (2)

Optimal control of parameterized stationary Maxwell's system: reduced basis, convergence analysis, and a posteriori error estimates ⋮ Uncertainty Quantification for Low-Frequency, Time-Harmonic Maxwell Equations with Stochastic Conductivity Models

Cites Work

• Electromagnetic and optical pulse propagation 1. Spectral representations in temporally dispersive media
• Order conditions for canonical Runge-Kutta-Nyström methods
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
• Accelerating PDE constrained optimization by the reducedbasis method: application to batch chromatography
• Stability of FD–TD Schemes for Maxwell–Debye and Maxwell–Lorentz Equations
• On the Compression of Low Rank Matrices
• Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media
• Model order reduction and error estimation with an application to the parameter-dependent eddy current equation
• Reduced basis method for finite volume approximations of parametrized linear evolution equations

This page was built for publication: Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media