Geodesic
Parallel computations for the simulation of seismic waves on the basis of the additive Schwartz method
Numerical methods and programming, Tome 13 (2012) no. 4, pp. 525-535.

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

The Laguerre time transform for the elastic wave equations leads to a definite spatial operator independent of a separation parameter. This allows one to perform parallel computations on the basis of Schwartz alternations using a domain decomposition with overlapping. On each alternation step, the resulting system of linear algebraic equations in each subdomain is solved independently, so one can use a direct solver on the basis of the LU-decomposition. Since the spatial operator is independent of separation parameters, this decomposition can be performed only once and be saved in RAM for each elementary subdomain to use for all right-hand sides. This approach is implemented and the corresponding software for high performance computers with hybrid parallel architecture is developed. A number of numerical results illustrating the analysis of scalability are discussed.
Keywords: Laguerre transform; definite operator; additive Schwartz method; parallel computations; scalability. 
@article{VMP_2012_13_4_a5,
     author = {M. A. Belonosov and K. Kostov and G. V. Reshetova and V. A. Tcheverda},
     title = {Parallel computations for the simulation of seismic waves on the basis of the additive {Schwartz} method},
     journal = {Numerical methods and programming},
     pages = {525--535},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2012_13_4_a5/}
}
TY  - JOUR
AU  - M. A. Belonosov
AU  - K. Kostov
AU  - G. V. Reshetova
AU  - V. A. Tcheverda
TI  - Parallel computations for the simulation of seismic waves on the basis of the additive Schwartz method
JO  - Numerical methods and programming
PY  - 2012
SP  - 525
EP  - 535
VL  - 13
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2012_13_4_a5/
LA  - ru
ID  - VMP_2012_13_4_a5
ER  - 
%0 Journal Article
%A M. A. Belonosov
%A K. Kostov
%A G. V. Reshetova
%A V. A. Tcheverda
%T Parallel computations for the simulation of seismic waves on the basis of the additive Schwartz method
%J Numerical methods and programming
%D 2012
%P 525-535
%V 13
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2012_13_4_a5/
%G ru
%F VMP_2012_13_4_a5
M. A. Belonosov; K. Kostov; G. V. Reshetova; V. A. Tcheverda. Parallel computations for the simulation of seismic waves on the basis of the additive Schwartz method. Numerical methods and programming, Tome 13 (2012) no. 4, pp. 525-535. http://geodesic.mathdoc.fr/item/VMP_2012_13_4_a5/