Publication: Sparse convolution quadrature for time domain boundary integral formulations of the wave equation
Sparse convolution quadrature for time domain boundary integral formulations of the wave equation
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Hackbusch, W., Kress, W., & Sauter, S. A. (2009). Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. IMA Journal of Numerical Analysis, 29(1), 158–179. https://doi.org/10.1093/imanum/drm044
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Many important physical applications are governed by the wave equation. The formulation as time domain boundary integral equations involves retarded potentials. For the numerical solution of this problem, we employ the convolution quadrature method for the discretization in time and the Galerkin boundary element method for the space discretization. We introduce a simple a priori cut-off strategy where small entries of the system matrices are replaced by zero. The threshold for the cut-off is determined by an a priori analysis which wi
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Hackbusch, W., Kress, W., & Sauter, S. A. (2009). Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. IMA Journal of Numerical Analysis, 29(1), 158–179. https://doi.org/10.1093/imanum/drm044