Finite Difference; Nonoverlapping DDM; Elastic wave Equation; Wave Simulation; Preconditioner; Absorbing Boundary Conditions - Articles

Frequency-domain Elastic wave Simulation Based on the Nonoverlapping Domain Decomposition Method (Articles)

Wensheng Zhang, Yinyun Dai

American Journal of Computational Mathematics Vol.3 No.3B，October 25, 2013

DOI: 10.4236/ajcm.2013.33B004 4,644 Downloads 6,846 Views Citations
Time Dependent Wave Propagation Modeling Using Finite Difference Scheme of 2D Wave Equation Based on Absorbing and Reflecting Boundaries (Articles)

M. Joni Alam, W. Z. Loskor, M. Mohiuddin

Journal of Applied Mathematics and Physics Vol.9 No.9，September 26, 2021

DOI: 10.4236/jamp.2021.99148 204 Downloads 1,475 Views Citations
Finite-Difference Solution of the Helmholtz Equation Based on Two Domain Decomposition Algorithms (Articles)

Wensheng Zhang, Yunyin Dai

Journal of Applied Mathematics and Physics Vol.1 No.4，November 6, 2013

DOI: 10.4236/jamp.2013.14004 6,698 Downloads 9,164 Views Citations
The Wave Equation Together with Matheu-Hill and Laguerre Form Dynamic Boundary Conditions (Articles)

Kenan Koser

World Journal of Mechanics Vol.1 No.6，December 9, 2011

DOI: 10.4236/wjm.2011.16039 3,551 Downloads 7,034 Views Citations
A Study on the Wave Screening Effectiveness According to Trench Dimensions Using Ultrasonic Waves (Articles)

Hee Seok Kim, Won Jong Chin

Engineering Vol.6 No.10，September 5, 2014

DOI: 10.4236/eng.2014.610061 2,704 Downloads 3,510 Views Citations
Comparison of Finite Difference Schemes for the Wave Equation Based on Dispersion (Articles)

Yahya Ali Abdulkadir

Journal of Applied Mathematics and Physics Vol.3 No.11，November 30, 2015

DOI: 10.4236/jamp.2015.311179 4,409 Downloads 6,062 Views Citations
A Study on the Characteristics and the Effective Reduction Methods for the Ground Vibration Due to the Travelling Tilting Train (Articles)

Hee Seok Kim

Engineering Vol.6 No.4，March 21, 2014

DOI: 10.4236/eng.2014.64024 3,202 Downloads 4,435 Views Citations
A Computational Study with Finite Element Method and Finite Difference Method for 2D Elliptic Partial Differential Equations (Articles)

George Papanikos, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.6 No.12，November 30, 2015

DOI: 10.4236/am.2015.612185 3,455 Downloads 5,838 Views Citations
Full-waveform Velocity Inversion Based on the Acoustic Wave Equation (Articles)

Wensheng Zhang, Jia Luo

American Journal of Computational Mathematics Vol.3 No.3B，October 25, 2013

DOI: 10.4236/ajcm.2013.33B003 4,508 Downloads 7,798 Views Citations
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials (Articles)

Nasser H. Sweilam, Mohamed M. Khader, Mohamed Adel

Applied Mathematics Vol.6 No.4，April 10, 2015

DOI: 10.4236/am.2015.64058 4,112 Downloads 5,339 Views Citations
A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables (Articles)

Pavlos Stampolidis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.9 No.11，November 13, 2018

DOI: 10.4236/am.2018.911079 1,971 Downloads 3,837 Views Citations
Numerical Simulation of Elastic Wave Equation and Analysis of Wave Field Characteristics in 2-D VTI Medium (Articles)

Yong Wang, Pengfei Mu, Yanwen Duan, Ting Wang

Open Journal of Yangtze Oil and Gas Vol.3 No.3，July 17, 2018

DOI: 10.4236/ojogas.2018.33014 778 Downloads 2,043 Views Citations
A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation (Articles)

Frederick Ira Moxley III, Fei Zhu, Weizhong Dai

American Journal of Computational Mathematics Vol.2 No.3，September 28, 2012

DOI: 10.4236/ajcm.2012.23022 5,622 Downloads 11,221 Views Citations
Output Feedback Stabilization for a 1-D Conservative Wave Equation with General Corrupted Boundary Observation (Articles)

Shuangxi Huang

Engineering Vol.14 No.12，December 12, 2022

DOI: 10.4236/eng.2022.1412039 41 Downloads 201 Views Citations
Some Methods of Solution of Problems of Sound Diffraction on Bodies of Non-Analytical Form (Articles)

A. A. Kleshchev

Open Journal of Acoustics Vol.6 No.4，December 15, 2016

DOI: 10.4236/oja.2016.64005 1,225 Downloads 2,092 Views Citations
Finite Difference Preconditioners for Legendre Based Spectral Element Methods on Elliptic Boundary Value Problems (Articles)

Seonhee Kim, Amik St-Cyr, Sang Dong Kim

Applied Mathematics Vol.4 No.5，May 22, 2013

DOI: 10.4236/am.2013.45115 3,292 Downloads 5,042 Views Citations
Design of Underground Pipelines under Arbitrary Seismic Loading (Articles)

Diyorbek Bekmirzaev

Open Journal of Applied Sciences Vol.5 No.5，May 22, 2015

DOI: 10.4236/ojapps.2015.55023 2,388 Downloads 3,224 Views Citations
Numerical Study of Elastic Wave Propagation Characteristics in Cracked Rock (Articles)

Kaifeng Han, Ruiqi Cao

Journal of Applied Mathematics and Physics Vol.2 No.6，May 16, 2014

DOI: 10.4236/jamp.2014.26046 3,271 Downloads 4,287 Views Citations
Study of Longitudinal Oscillations of a Building on the Basis of Continuum Plate Model (Articles)

Makhamatali K. Usarov, Gayratjon T. Ayubov

Journal of Applied Mathematics and Physics Vol.6 No.9，September 30, 2018

DOI: 10.4236/jamp.2018.69164 495 Downloads 930 Views Citations
Numerical Method for Non-Linear Conservation Laws: Inviscid Burgers Equation (Articles)

R. Hemel, M. T. Azam, M. S. Alam

Journal of Applied Mathematics and Physics Vol.9 No.6，June 29, 2021

DOI: 10.4236/jamp.2021.96092 209 Downloads 1,370 Views Citations

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