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Parallel Computation of 3-D Soil-Structure Interaction in Time Domain with a Coupled FEM/SBFEM Approach

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Abstract

This paper introduces a parallel algorithm for the scaled boundary finite element method (SBFEM). The application code is designed to run on clusters of computers, and it enables the analysis of large-scale soil-structure-interaction problems, where an unbounded domain has to fulfill the radiation condition for wave propagation to infinity. The main focus of the paper is on the mathematical description and numerical implementation of the SBFEM. In particular, we describe in detail the algorithm to compute the acceleration unit impulse response matrices used in the SBFEM as well as the solvers for the Riccati and Lyapunov equations. Finally, two test cases validate the new code, illustrating the numerical accuracy of the results and the parallel performances.

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Authors and Affiliations

  1. Institut für Angewandte Mechanik, Technische Universität Carolo-Wilhelmina zu Braunschweig, Spielmannstraße 11, 38106, Braunschweig, Germany

    Marco Schauer & Sabine Langer

  2. D. Sistemes Informàtics i Computació, Universitat Politècnica de València, Camí de Vera s/n, 46022, València, Spain

    Jose E. Roman

  3. Departamento de Ingeniería y Ciencia de Computadores, Universidad Jaume I, Avda. Sos Baynat s/n, 12071, Castellón, Spain

    Enrique S. Quintana-Ortí

Authors
  1. Marco Schauer
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  2. Jose E. Roman
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  3. Enrique S. Quintana-Ortí
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  4. Sabine Langer
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Correspondence to Marco Schauer.

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Schauer, M., Roman, J.E., Quintana-Ortí, E.S. et al. Parallel Computation of 3-D Soil-Structure Interaction in Time Domain with a Coupled FEM/SBFEM Approach. J Sci Comput 52, 446–467 (2012). https://doi.org/10.1007/s10915-011-9551-x

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  • DOI: https://doi.org/10.1007/s10915-011-9551-x

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