scholarly journals A novel method for investigation of acoustic and elastic wave phenomena using numerical experiments

2020 ◽  
Vol 10 (5) ◽  
pp. 307-314
Author(s):  
Alena Favorskaya ◽  
Igor Petrov
Keyword(s):  
Elastic Wave ◽  
Numerical Experiments ◽  
Novel Method ◽  
Wave Phenomena

scholarly journals A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Xiao-Ping Chen ◽  
Hao Liu
Keyword(s):  
Asymptotic Stability ◽  
Local Stability ◽  
Integral Method ◽  
Numerical Experiments ◽  
Positive Equilibrium ◽  
Multiple Delays ◽  
Volterra System ◽  
Local Asymptotic Stability ◽  
Discrete Delays ◽  
Novel Method

The n-species Lotka-Volterra system with discrete delays is considered. The local asymptotic stability of positive equilibrium is investigated based on a contour integral method. The main purpose of this paper is to propose a new and general algorithm to study the local asymptotic stability of the positive equilibrium for then-dimensional Lotka-Volterra system. Some numerical experiments are carried out to show the effectiveness of the proposed method.

Effect of chain scission on flow characteristics of wormlike micellar solutions past a confined microfluidic cylinder: a numerical analysis

Soft Matter ◽  
2020 ◽  
Vol 16 (22) ◽  
pp. 5261-5272 ◽  
Author(s):  
Mohd Bilal Khan ◽  
C. Sasmal
Keyword(s):  
Numerical Analysis ◽  
Elastic Wave ◽  
Micellar Solution ◽  
Flow Characteristics ◽  
Chain Scission ◽  
Critical Value ◽  
Weissenberg Number ◽  
Elastic Instability ◽  
Micellar Solutions ◽  
Wave Phenomena

Elastic instability and elastic wave phenomena can be seen for the flow of a wormlike micellar solution past a confined microfluidic cylinder once the Weissenberg number exceeds a critical value.

scholarly journals Dispersion of discontinuous periodic waves

2013 ◽  
Vol 469 (2149) ◽  
pp. 20120407 ◽  
Author(s):  
Gong Chen ◽  
Peter J. Olver
Keyword(s):  
Dispersion Relation ◽  
Numerical Experiments ◽  
Polynomial Growth ◽  
Dynamic Evolution ◽  
Bounded Domains ◽  
Periodic Waves ◽  
Talbot Effect ◽  
Asymptotically Linear ◽  
Dispersive Waves ◽  
Wave Phenomena

The dynamic evolution of linearly dispersive waves on periodic domains with discontinuous initial profiles is shown to depend remarkedly upon the asymptotics of the dispersion relation at large wavenumbers. Asymptotically linear or sublinear dispersion relations produce slowly changing waves, while those with polynomial growth exhibit dispersive quantization, a.k.a. the Talbot effect, being (approximately) quantized at rational times, but a non-differentiable fractal at irrational times. Numerical experiments suggest that such effects persist into the nonlinear regime, for both integrable and non-integrable systems. Implications for the successful modelling of wave phenomena on bounded domains and numerical challenges are discussed.

Comparison of source-independent methods of elastic waveform inversion

Geophysics ◽  
2006 ◽  
Vol 71 (6) ◽  
pp. R91-R100 ◽  
Author(s):  
Kun Xu ◽  
Stewart A. Greenhalgh ◽  
MiaoYue Wang
Keyword(s):  
Elastic Wave ◽  
Frequency Domain ◽  
Numerical Experiments ◽  
Random Noise ◽  
Waveform Inversion ◽  
Seismic Inversion ◽  
Inversion Method ◽  
Practical Procedure ◽  
Wave Inversion ◽  
Full Waveform

In this paper, we investigate several source-independent methods of nonlinear full-waveform inversion of multicomponent elastic-wave data. This includes iterative estimation of source signature (IES), standard trace normalization (STN), and average trace normalization (ATN) inversion methods. All are based on the finite-element method in the frequency domain. One synthetic elastic crosshole model is used to compare the recovered images with all these methods as well as the known source signature (KSS) inversion method. The numerical experiments show that the IES method is superior to both STN and ATN methods in two-component, elastic-wave inversion in the frequency domain when the source signature is unknown. The STN and ATN methods have limitations associated with near-zero amplitudes (or polarity reversals) in traces from one of the components, which destroy the energy balance in the normalized traces and cause a loss of frequency information. But the ATN method is somewhat superior to the STN method in suppressing random noise and improving stability, as the developed formulas and the numerical experiments show. We suggest the IES method as a practical procedure for multicomponent seismic inversion.

scholarly journals A novel method for wave phenomena investigation

2019 ◽  
Vol 159 ◽  
pp. 1208-1215 ◽  
Author(s):  
Alena Favorskaya
Keyword(s):  
Novel Method ◽  
Wave Phenomena

scholarly journals An improved convergence based on accelerated modulus-based Gauss–Seidel method for interactive rigid body simulations

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Shugo Miyamoto ◽  
Makoto Yamashita
Keyword(s):  
Rigid Body ◽  
Numerical Experiments ◽  
Complementarity Problems ◽  
Linear Complementarity Problems ◽  
Linear Complementarity ◽  
Matrix Splitting ◽  
Seidel Method ◽  
The Matrix ◽  
Novel Method ◽  
Special Case

AbstractIn this paper, we propose a novel method that fits linear complementarity problems arising in interactive rigid-body simulations, based on the accelerated modulus-based Gauss–Seidel (AMGS) method. We give a new sufficient condition for the convergence of the generated sequence under a milder condition on the matrix splitting than the special case of the AMGS method. This gives a flexibility in the choice of the matrix splitting, and an appropriate matrix splitting can lead to a better convergence rate in practice. Numerical experiments show that the proposed method is more efficient than the simple application of the AMGS method, and that the accuracy in each step of the proposed method is superior to that of the projected Gauss–Seidel method.

scholarly journals A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Branislav Ivanov ◽  
Predrag S. Stanimirović ◽  
Bilall I. Shaini ◽  
Hijaz Ahmad ◽  
Miao-Kun Wang
Keyword(s):  
Theoretical Analysis ◽  
Conjugate Gradient ◽  
Numerical Experiments ◽  
Line Search ◽  
Optimization Method ◽  
The Novel ◽  
Cpu Time ◽  
Backtracking Line Search ◽  
Novel Method ◽  
Robust Variant

A new rule for calculating the parameter t involved in each iteration of the MHSDL (Dai-Liao) conjugate gradient (CG) method is presented. The new value of the parameter initiates a more efficient and robust variant of the Dai-Liao algorithm. Under proper conditions, theoretical analysis reveals that the proposed method in conjunction with backtracking line search is of global convergence. Numerical experiments are also presented, which confirm the influence of the new value of the parameter t on the behavior of the underlying CG optimization method. Numerical comparisons and the analysis of obtained results considering Dolan and Moré’s performance profile show better performances of the novel method with respect to all three analyzed characteristics: number of iterative steps, number of function evaluations, and CPU time.

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