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Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media

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Model Reduction, Maxwell's equations

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      Abstract

      Simulation of electromagnetic and optical wave propagation in, e.g. water, fog or dielectric waveguides requires modeling of linear, temporally dispersive media. Using a POD-greedy sampling driven by an error indicator, we seek to generate a reduced model which accurately captures the dynamics. Typically, the reduced basis model reduction reduces the model order by a factor of more than 100, while maintaining an approximation error of less than 1%.

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      Journal
      10.14293/P2199-8442.1.SOP-MATH.PWOIA0.v1

      Mathematics

      Model Reduction, Maxwell's equations

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