Geodesic
Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 11, pp. 1804-1811

Voir la notice de l'article provenant de la source Math-Net.Ru

The grid-characteristic method on a sequence of embedded hierarchical grids is used to study the reflection and diffraction of elastic seismic waves propagating from an earthquake hypocenter to the Earth’s surface. More specifically, the destruction caused by seismic waves in complex heterogeneous structures, such as multi-story buildings, is analyzed. This study is based on computer modeling with the use of the grid-characteristic method, which provides a detailed description of wave processes in heterogeneous media, takes into account all types of emerging waves, and relies on algorithms that perform well on the boundaries of the integration domain and material interfaces. Applying a sequence of hierarchical grids makes it possible to simulate seismic wave propagation from an earthquake hypocenter to ground facilities of interest—multi-story buildings—and to investigate their seismic resistance. 
@article{ZVMMF_2017_57_11_a4,
     author = {I. B. Petrov and A. V. Favorskaya and N. I. Khokhlov},
     title = {Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1804--1811},
     publisher = {mathdoc},
     volume = {57},
     number = {11},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_11_a4/}
}
TY  - JOUR
AU  - I. B. Petrov
AU  - A. V. Favorskaya
AU  - N. I. Khokhlov
TI  - Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2017
SP  - 1804
EP  - 1811
VL  - 57
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_11_a4/
LA  - ru
ID  - ZVMMF_2017_57_11_a4
ER  - 
%0 Journal Article
%A I. B. Petrov
%A A. V. Favorskaya
%A N. I. Khokhlov
%T Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2017
%P 1804-1811
%V 57
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_11_a4/
%G ru
%F ZVMMF_2017_57_11_a4
I. B. Petrov; A. V. Favorskaya; N. I. Khokhlov. Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 11, pp. 1804-1811. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_11_a4/