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Efficient convolution based impedance boundary condition

by A. Paganini and M. López-Fernández

(Report number 2013-07)

Abstract
We consider an eddy current problem in time-domain and rely on impedance boundary conditions on the surface of the conductor(s). With a “method of lines policy” in mind, we pursue a semi-discretization in space by a finite element Ritz-Galerkin discretization. The resulting set of Volterra integral equations in time is discretized by means of ${Runge-Kutta convolution quadrature} $ (CQ) focusing on fast and oblivious implementations. The final algorithm is validated by several numerical experiments.

Keywords: eddy current problem, impedance boundary conditions, convolution quadrature, fast and oblivious algorithms

@Techreport{PL13_503,
  author = {A. Paganini and M. López-Fernández},
  title = {Efficient convolution based impedance boundary condition},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2013-07},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2013/2013-07.pdf },
  year = {2013}
}

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