Absorbing boundary conditions for the Westervelt equation

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Title: Absorbing boundary conditions for the Westervelt equation
Authors: Kaltenbacher, B
Shevchenko, I
Item Type: Working Paper
Abstract: The focus of this work is on the construction of a family of nonlinear absorbing boundary conditions for the Westervelt equation in one and two space dimensions. The principal ingredient used in the design of such conditions is pseudo-differential calculus. This approach enables to develop high order boundary conditions in a consistent way which are typically more accurate than their low order analogs. Under the hypothesis of small initial data, we establish local well-posedness for the Westervelt equation with the absorbing boundary conditions. The performed numerical experiments illustrate the efficiency of the proposed boundary conditions for different regimes of wave propagation.
Issue Date: 1-Jan-2015
URI: http://hdl.handle.net/10044/1/31350
Copyright Statement: © 2014 The Authors
Keywords: Numerical analysis (math)
35C07, 35L20, 35L70
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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