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On Applications of Fast Domain Partitioning Method to Earthquake Simulations with Spatiotemporal Boundary Integral Equation Method

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Book cover Mathematical Analysis of Continuum Mechanics and Industrial Applications II (CoMFoS 2016)

Part of the book series: Mathematics for Industry ((MFI,volume 30))

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Abstract

This paper introduces the recent developments in the earthquake rupture simulations particularly focusing on our applications of the spatiotemporal domain boundary integral equation method (ST-BIEM) and the fast domain partitioning method (FDPM), which enable us to reduce the required memory storage and the computation time, respectively, to \(O(M^{2})\) and \(O(MN^{2})\) from the original values of \(O(M^{2}N)\) and \(O(MN^{3})\) for the given elements M and time steps N. FDPM utilizes the particular spatiotemporal dependence of the stress Green’s function (fundamental solutions) by partitioning the causality cone. FDPM can also seamlessly combine fully dynamic and quasi-dynamic simulation algorithms adapted in seismology. Related issues in seismological simulations are also discussed.

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Acknowledgements

This study is supported in part by JSPS/MEXT KAKENHI Grant Numbers JP25800253 and JP26109007.

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Authors and Affiliations

  1. Department of Earth and Planetary Science, School of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan

    Ryosuke Ando

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  1. Ryosuke Ando
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Correspondence to Ryosuke Ando .

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Editors and Affiliations

  1. Kanazawa University, Kanazawa, Ishikawa, Japan

    Patrick van Meurs

  2. Kanazawa University, Kanazawa, Ishikawa, Japan

    Masato Kimura

  3. Kanazawa University, Kanazawa, Ishikawa, Japan

    Hirofumi Notsu

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Ando, R. (2018). On Applications of Fast Domain Partitioning Method to Earthquake Simulations with Spatiotemporal Boundary Integral Equation Method. In: van Meurs, P., Kimura, M., Notsu, H. (eds) Mathematical Analysis of Continuum Mechanics and Industrial Applications II. CoMFoS 2016. Mathematics for Industry, vol 30. Springer, Singapore. https://doi.org/10.1007/978-981-10-6283-4_8

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  • DOI: https://doi.org/10.1007/978-981-10-6283-4_8

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6282-7

  • Online ISBN: 978-981-10-6283-4

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