The Acoustic Wave Equation
On the solution of an acoustic wave equation with variable order derivative loss operator
... The wave equation for viscous losses involving integer-order derivatives only leads to an attenuation which is proportional to the square of the ...The acoustic wave equation with loss ...
12
OPTIMAL DISCONTINUOUS GALERKIN METHODS FOR THE ACOUSTIC WAVE EQUATION IN HIGHER DIMENSIONS
... OPTIMAL DISCONTINUOUS GALERKIN METHODS FOR THE ACOUSTIC WAVE EQUATION IN HIGHER DIMENSIONS ERIC T. CHUNG ∗ AND BJ ¨ ORN ENGQUIST † Abstract. In this paper, we developed and analyzed a new class of ...
28
A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients
... Abstract This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard ...
15
High order immersed interface method for acoustic wave equation with discontinuous coeffcients
... In this paper, a sixth order method for the acoustic wave equation with discontinuous coefficients is presented. This higher order method in some sense is an improvement on the works of Zhang and ...
24
Error estimates of a semi discrete LDG method for the system of damped acoustic wave equation
... Abstract We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R 2 . In this paper, we show the system is well-posed and stable with energy ...
20
The Acoustic Wave Equation in the Expanding Universe: Sachs-Wolfe Theorem »
... the acoustic field propagating in the radiation-dominated ( p = e ê 3) universe of arbitrary space curvature (K = 0, ± ...dʼAlembert equation in an auxiliary static Robertson–Walker spacetime and dispersion ...
8
Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions
... quasilinear wave equation u tt – u t – div ( |∇ u | α –2 ∇ u ) – div ( |∇ u t | β –2 ∇ u t ) + a | u t | m–2 u t = b | u | p–2 u a,b > 0, associated with initial and Dirichlet boundary conditions at one ...
10
The wave matching boundary integral equation an energy approach to Galerkin BEM for acoustic wave propagation problems
... plane wave oscillatory functions also produces matrices that are ‘approximately sparse’, in that the vast majority of their entries are extremely ...the Wave-Matching scheme, but the Burton–Miller scheme ...
34
A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions
... Abstract In this paper, we consider a quasilinear viscoelastic wave equation with acoustic boundary conditions. Under some appropriate assumption on the relaxation function g, the function , p > max ...
19
A New Formulation of Time Domain Boundary Integral Equation for Acoustic Wave Scattering in the Presence of a Uniform Mean Flow
... the acoustic wave propagation equation can be formulated as a boundary inte- gral equation, in both the time domain and the frequency ...integral equation have the advantage of a ...
19
Waves and the One-Dimensional Wave Equation
... traveling acoustic plane wave; particle displacement, particle velocity, acoustic pressure and fractional change in ...same wave speed and have the same period and ...
26
Some Universal Properties of the Green’s Functions Associated with the Wave Equation in Bounded Partially Homogeneous Domains and Their Use in Acoustic Tomography
... the wave equation in non-homogeneous bounded domains constitute challenging actual subjects for both mathematicians and ...in acoustic tomo- graphy, ...
17
Nonlinear Acoustic Wave. Propagation with Diffusion. and Relaxation
... shock wave generated by disturbances in the atmosphere that lead to rapid increases in pressure over a short ...Burgers’ equation is used when thermoviscosity and relaxation processes are taken into ...
305
Wave Basics + Equation
... the wave is marked in the diagram shown below #2: What is the difference between period and wave speed? A: The period is the time it takes to complete one cycle/half a wavelength, so from a crest to the ...
91
Full discretization of wave equation
... Laplace equation and Maxwell system, the finite element method is one of the most relied on methods because it is much more interested in the analysis of the error committed between the exact solution and the ...
11
A New Wave Equation of the Electron
... Dirac equation of a second order partial differential equation is ...this wave equa- tion the quivering motion (Zitterbewegung) is satisfactorily ...Dirac equation is presented and compared ...
5
The 1-D Wave Equation
... This implies the tension is in the tan gent direction and the horizontal tension is constant, or else there would be a preferred direction of motion for the s[r] ...
24
The Wave Equation in 1D and 2D
... Often used as synonym for large destructive waves generated by slides, earthquakes, volcanos, etc. Map of older incidents:[r] ...
48
Wave mechanics and the Schrödinger equation
... 1.2 Wave mechanics de Broglie’s doctoral thesis, defended at the end of 1924, created a lot of excitement in European physics ...a wave confine itself to a circle in space? It wasnt as if the circle was a ...
9
1.1 The wave equation for a string
... plane wave carries no ...the wave- the resulting signal is called AM or FM ( as on your radio ...The wave crests travel at the phase speed v Á = !=k but the envelope that carries the information ...
35