Hybrid Modeling of Elastic P-SV Wave Motion: A Combined Finite-Element and Staggered-Grid Finite-Difference Approach

2004 ◽  
Vol 94 (4) ◽  
pp. 1557-1563 ◽  
Author(s):  
S. Ma
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Wave Motion ◽  
Hybrid Modeling ◽  
Staggered Grid ◽  
Finite Difference Approach

scholarly journals Finite Difference Algorithm on Non-Uniform Meshes for Modeling 2D Magnetotelluric Responses

Algorithms ◽  
2018 ◽  
Vol 11 (12) ◽  
pp. 203
Author(s):  
Xiaozhong Tong ◽  
Yujun Guo ◽  
Wei Xie
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Analytical Solutions ◽  
Good Accuracy ◽  
Validity And Reliability ◽  
Homogeneous Half Space ◽  
1D Model ◽  
Relative Errors ◽  
Future Project ◽  
Finite Difference Approach

A finite-difference approach with non-uniform meshes was presented for simulating magnetotelluric responses in 2D structures. We presented the calculation formula of this scheme from the boundary value problem of electric field and magnetic field, and compared finite-difference solutions with finite-element numerical results and analytical solutions of a 1D model. First, a homogeneous half-space model was tested and the finite-difference approach can provide very good accuracy for 2D magnetotelluric modeling. Then we compared them to the analytical solutions for the two-layered geo-electric model; the relative errors of the apparent resistivity and the impedance phase were both increased when the frequency was increased. To conclude, we compare our finite-difference simulation results with COMMEMI 2D-0 model with the finite-element solutions. Both results are in close agreement to each other. These comparisons can confirm the validity and reliability of our finite-difference algorithm. Moreover, a future project will extend the 2D structures to 3D, where non-uniform meshes should perform especially well.

Energy estimates and numerical verification of the stabilized Domain Decomposition Finite Element/Finite Difference approach for time-dependent Maxwell’s system

2013 ◽  
Vol 11 (4) ◽  
Author(s):  
Larisa Beilina
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Domain Decomposition ◽  
Gauge Condition ◽  
Time Dependent ◽  
Energy Estimates ◽  
Numerical Verification ◽  
Electric Permittivity ◽  
Maxwell’S System ◽  
Finite Difference Approach

AbstractWe rigorously derive energy estimates for the second order vector wave equation with gauge condition for the electric field with non-constant electric permittivity function. This equation is used in the stabilized Domain Decomposition Finite Element/Finite Difference approach for time-dependent Maxwell’s system. Our numerical experiments illustrate efficiency of the modified hybrid scheme in two and three space dimensions when the method is applied for generation of backscattering data in the reconstruction of the electric permittivity function.

Modeling acoustic waves in locally enhanced meshes with a staggered-grid finite difference approach

Wave Motion ◽  
2020 ◽  
Vol 98 ◽  
pp. 102624
Author(s):  
Sergio Sanes Negrete ◽  
Juan C. Muñoz-Cuartas ◽  
Carlos A. Vera-Ciro ◽  
Koen W.A. van Dongen
Keyword(s):  
Finite Difference ◽  
Acoustic Waves ◽  
Staggered Grid ◽  
Finite Difference Approach
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