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Volume 11, Issue 2
Transparent Boundary Conditions for Elastic Anisotropic VTI Media: Axially Symmetric Case

Olga Podgornova

DOI: 10.4208/cicp.221209.050511s

Commun. Comput. Phys., 11 (2012), pp. 541-554.

Published online: 2012-12

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  • Abstract

Transparent boundary conditions (TBCs) for anisotropic vertical transverse isotropic VTI medium are formulated for the axially symmetric case. The high accuracy of the derived TBCs and their long-time stability are demonstrated in numerical experiments. The TBCs are represented in terms of the vertical component of the velocity vector and tangential component of the stress tensor that facilitates the easy implementation of the boundary condition into the finite-difference staggered-grid scheme.

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@Article{CiCP-11-541, author = {Olga Podgornova}, title = {Transparent Boundary Conditions for Elastic Anisotropic VTI Media: Axially Symmetric Case}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {541--554}, abstract = {

Transparent boundary conditions (TBCs) for anisotropic vertical transverse isotropic VTI medium are formulated for the axially symmetric case. The high accuracy of the derived TBCs and their long-time stability are demonstrated in numerical experiments. The TBCs are represented in terms of the vertical component of the velocity vector and tangential component of the stress tensor that facilitates the easy implementation of the boundary condition into the finite-difference staggered-grid scheme.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.221209.050511s}, url = {http://global-sci.org/intro/article_detail/cicp/7377.html} }
TY - JOUR T1 - Transparent Boundary Conditions for Elastic Anisotropic VTI Media: Axially Symmetric Case AU - Olga Podgornova JO - Communications in Computational Physics VL - 2 SP - 541 EP - 554 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.221209.050511s UR - https://global-sci.org/intro/article_detail/cicp/7377.html KW - AB -

Transparent boundary conditions (TBCs) for anisotropic vertical transverse isotropic VTI medium are formulated for the axially symmetric case. The high accuracy of the derived TBCs and their long-time stability are demonstrated in numerical experiments. The TBCs are represented in terms of the vertical component of the velocity vector and tangential component of the stress tensor that facilitates the easy implementation of the boundary condition into the finite-difference staggered-grid scheme.

Olga Podgornova. (2012). Transparent Boundary Conditions for Elastic Anisotropic VTI Media: Axially Symmetric Case. Communications in Computational Physics. 11 (2). 541-554. doi:10.4208/cicp.221209.050511s
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