Comparison of finite difference and finite element methods for simulating two-dimensional scattering of elastic waves

2008 ◽  
Vol 171 (1-4) ◽  
pp. 112-121 ◽  
Author(s):  
Marcel Frehner ◽  
Stefan M. Schmalholz ◽  
Erik H. Saenger ◽  
Holger Steeb
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Finite Element Methods ◽  
Elastic Waves ◽  
Two Dimensional ◽  
Scattering Of Elastic Waves

Scattering of elastic waves by point-like obstacle in two-dimensional case

2019 ◽  
Author(s):  
Igor Popov ◽  
Irina Blinova ◽  
Anton Boitsev ◽  
Andre Froehly ◽  
Hagen Neidhardt
Keyword(s):  
Elastic Waves ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Scattering Of Elastic Waves

2-D AUTOMATIC COMPOSITION OF NODAL VALUES FROM NUMERICAL MODEL USING SCRIPT PROGRAMMING

2013 ◽  
Vol 62 (1) ◽  
Author(s):  
Rudi Heriansyah
Keyword(s):  
Finite Element ◽  
Numerical Modeling ◽  
Numerical Model ◽  
Finite Difference ◽  
Two Dimensional ◽  
Commercial Software ◽  
One Dimensional ◽  
Automatic Composition ◽  
The Individual ◽  
Individual Nodes

There are many commercial software to perform numerical modeling based on finite element (FEM) and finite difference (FDM) methods. It is often a requirement to the designer, that the values of the individual nodes in the numerical model are known. Usually, these softwares provide two methods to achieve this; firstly, by clicking directly onto the nodes of interest and secondly, by saving or exporting the whole nodal values to an external file. The former way is appropriate for models with small number of nodes, but as the number of nodes increases, it is no longer an efficient or effective way. Through the latter method, all nodal values are obtained, however the values are one-dimensional, and in some cases, only certain nodal values are required for presentation. In this paper, an algorithm for automatic composition of nodal values obtained from the second method mentioned above. The composed nodal values will be in two-dimensional form as this is the format used for uniform shaped model (square or rectangular). Since numerical softwares usually have facilities to save the data in a spreadsheet format, the proposed algorithm is implemented in this environment by using spreadsheet script programming.

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