Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation

DOI10.1016/j.jcp.2015.08.051zbMath1349.76794OpenAlexW2294394065MaRDI QIDQ2374811

Yanyan Li

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/32024

zbMATH Keywords

nonlinear acousticsabsorbing boundary conditionspseudo-differential operatorspara-differential operatorsWestervelt equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (12)

The shape derivative for an optimization problem in lithotripsy ⋮ Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems ⋮ Well-posedness and longtime behavior for the Westervelt equation with absorbing boundary conditions of order zero ⋮ A high-order discontinuous Galerkin method for nonlinear sound waves ⋮ A novel 1D-FDTD scheme to solve the nonlinear second-order thermoviscous hydrodynamic model ⋮ Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation ⋮ Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics ⋮ Feedback control of the acoustic pressure in ultrasonic wave propagation ⋮ Periodic solutions and multiharmonic expansions for the Westervelt equation ⋮ A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation ⋮ Well-posedness of the Westervelt equation with higher order absorbing boundary conditions ⋮ Mathematics of nonlinear acoustics

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