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Piecewise oblique boundary treatment for the elastic–plastic wave equation on a cartesian grid

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Abstract

Numerical schemes for hyperbolic conservation laws in 2-D on a Cartesian grid usually have the advantage of being easy to implement and showing good computational performances, without allowing the simulation of “real-world” problems on arbitrarily shaped domains. In this paper a numerical treatment of boundary conditions for the elastic–plastic wave equation is developed, which allows the simulation of problems on an arbitrarily shaped physical domain surrounded by a piece-wise smooth boundary curve, but using a PDE solver on a rectangular Cartesian grid with the afore-mentioned advantages.

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  1. Seminar for Applied Mathematics, Swiss Federal Institute of Technology, Zurich, Switzerland

    Guido Giese

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  1. Guido Giese
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Correspondence to Guido Giese.

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Giese, G. Piecewise oblique boundary treatment for the elastic–plastic wave equation on a cartesian grid. Comput Mech 44, 745–755 (2009). https://doi.org/10.1007/s00466-009-0406-3

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  • DOI: https://doi.org/10.1007/s00466-009-0406-3

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