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• W1488395059 endingPage "595" @default.
• W1488395059 startingPage "569" @default.
• W1488395059 abstract "In this paper, we will present advanced discretization methods for solving retarded potential integral equations. We employ a $$C^{infty }$$ -partition of unity method in time and a conventional boundary element method for the spatial discretization. One essential point for the algorithmic realization is the development of an efficient method for approximation the elements of the arising system matrix. We present here an approach which is based on quadrature for (non-analytic) $$C^{infty }$$ functions in combination with certain Chebyshev expansions. Furthermore we introduce an a posteriori error estimator for the time discretization which is employed also as an error indicator for adaptive refinement. Numerical experiments show the fast convergence of the proposed quadrature method and the efficiency of the adaptive solution process." @default.
• W1488395059 created "2016-06-24" @default.
• W1488395059 creator A5049235940 @default.
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• W1488395059 date "2015-05-27" @default.
• W1488395059 modified "2023-09-27" @default.
• W1488395059 title "Adaptive time discretization for retarded potentials" @default.
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• W1488395059 doi "https://doi.org/10.1007/s00211-015-0726-5" @default.
• W1488395059 hasPublicationYear "2015" @default.
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