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Efficient convolution based impedance boundary conditions

Alberto Paganini (Seminar for Applied Mathematics, Swiss Federal Institute of Technology, Zurich, Switzerland)
María López-Férnández (Institute of Mathematics, University of Zurich, Zurich, Switzerland)



The purpose of this paper is to propose an approach based on Convolution quadrature (CQ) for the modeling and the numerical treatment of impedance boundary condition.


The model is derived from a general setting. Its discretization is discussed in details by providing pseudo-codes and by performing their complexity analysis. The model is validated through several numerical experiments.


CQ provides an efficient and accurate treatment of impedance boundary conditions.


The paper suggests a new effective treatment of impedance boundary conditions.



The work of A. Paganini was partly supported by ETH Grant No. CH1-02 11-1. The work of M. López-Férnández was partially supported by Grant Nos MTM 2010-19510 and MTM2012-31298, from Ministerio de Economia y Competitividad, Spain.


Paganini, A. and López-Férnández, M. (2014), "Efficient convolution based impedance boundary conditions", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 33 No. 4, pp. 1175-1188.



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