Publication: Convolution quadrature for the wave equation with impedance boundary conditions
Convolution quadrature for the wave equation with impedance boundary conditions
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Sauter, S. A., & Schanz, M. (2017). Convolution quadrature for the wave equation with impedance boundary conditions. Journal of Computational Physics, 334, 442–459. https://doi.org/10.1016/j.jcp.2017.01.013
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We consider the numerical solution of the wave equation with impedance boundary conditions and start from a boundary integral formulation for its discretization. We develop the generalized convolution quadrature (gCQ) to solve the arising acoustic retarded potential integral equation for this impedance problem.
For the special case of scattering from a spherical object, we derive representations of analytic solutions which allow to investigate the effect of the impedance coefficient on the acoustic pressure analytically. We have perf
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- Sauter, Stefan A
- Schanz, Martin
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Sauter, S. A., & Schanz, M. (2017). Convolution quadrature for the wave equation with impedance boundary conditions. Journal of Computational Physics, 334, 442–459. https://doi.org/10.1016/j.jcp.2017.01.013
