Geodesic
The fractional step domain decomposition method for numerical solution of a class of viscous wave equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7

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In this article, an efficient fractional steps domain decomposition method (FSDDM) is derived for parallel numerical solution of a class of viscous wave equations. In this procedure, the large domain is divided into multiple block sub-domains. The values on the interfaces of sub-domains are found by an efficient local multilevel scheme, implicit scheme is used for computing the interior values in sub-domains. Some techniques, such as non-overlapping domain decomposition, fractional steps and extrapolation algorithm are adopted. Numerical experiments are performed to demonstrate the efficiency and accuracy of the method. 
@article{ZVMMF_2013_53_7_a13,
     author = {Quanyong Zhu and Quanxiang Wang and Zhiyue Zhang},
     title = {The fractional step domain decomposition method for numerical solution of a class of viscous wave equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1192},
     publisher = {mathdoc},
     volume = {53},
     number = {7},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a13/}
}
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Quanyong Zhu; Quanxiang Wang; Zhiyue Zhang. The fractional step domain decomposition method for numerical solution of a class of viscous wave equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a13/