Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation
From MaRDI portal
Publication:2374811
DOI10.1016/j.jcp.2015.08.051zbMath1349.76794OpenAlexW2294394065MaRDI QIDQ2374811
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
nonlinear acousticsabsorbing boundary conditionspseudo-differential operatorspara-differential operatorsWestervelt equation
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Absorbing boundary conditions for the Westervelt equation
- Self-adapting absorbing boundary conditions for the wave equation
- Application of a perfectly matched layer to the nonlinear wave equation
- Non-reflecting boundary conditions
- Global existence and exponential decay rates for the Westervelt equation
- High-order absorbing boundary conditions for anisotropic and convective wave equations
- A non-uniform basis order for the discontinuous Galerkin method of the 3D dissipative wave equation with perfectly matched layer
- Boundary optimal control of the Westervelt and the Kuznetsov equations
- New absorbing layers conditions for short water waves
- Nonreflecting boundary conditions for nonlinear hyperbolic systems
- On the analysis and construction of perfectly matched layers for the linearized Euler equations
- Numerical solution of problems on unbounded domains. A review
- A perfectly matched layer for the absorption of electromagnetic waves
- Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems.
- Long time behavior of the perfectly matched layer equations in computational electromagnetics
- Well-posed perfectly matched layers for advective acoustics
- Absorbing boundary conditions for nonlinear scalar partial differential equations
- A time domain analysis of PML models in acoustics
- High-order local non-reflecting boundary conditions: a review
- Microlocal Diagonalization of Strictly Hyperbolic Pseudodifferential Systems and Application to the Design of Radiation Conditions in Electromagnetism
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- A nonlinear approach to absorbing boundary conditions for the semilinear wave equation
- Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Reflection of singularities at the boundary
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Radiation boundary conditions for acoustic and elastic wave calculations
- A Comparison of Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- Micro-Differential Boundary Conditions Modelling the Absorption of Acoustic Waves by 2D Arbitrarily-Shaped Convex Surfaces
- Pseudo‐differential operators
- An algebra of pseudo‐differential operators
- A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables
This page was built for publication: Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation
