A parallel splitting-up method (or the so celled alternating-direction method) is proposed in this paper. The method not only reduces the original linear and nonlinear problems into a series of one dimensional linear problems, but also enables us to compute all these one dimensional linear problems by parallel processors. Applications of the method to linear parabolic problem, steady state and nonsteady state Navier–Stokes problems are given.
%0 Journal Article
%1 Lu_1991
%A Lu, T.
%A Neittaanmäki, P.
%A Tai, X-C.
%D 1991
%I Elsevier BV
%J Applied Mathematics Letters
%K 35q35-pdes-in-connection-with-fluid-mechanics 65m60-pdes-ibvps-finite-elements 68w10-parallel-algorithms 76d05-incompressible-navier-stokes-equations
%N 2
%P 25--29
%R 10.1016/0893-9659(91)90161-n
%T A parallel splitting up method and its application to Navier–Stokes equations
%U https://doi.org/10.1016%2F0893-9659%2891%2990161-n
%V 4
%X A parallel splitting-up method (or the so celled alternating-direction method) is proposed in this paper. The method not only reduces the original linear and nonlinear problems into a series of one dimensional linear problems, but also enables us to compute all these one dimensional linear problems by parallel processors. Applications of the method to linear parabolic problem, steady state and nonsteady state Navier–Stokes problems are given.
@article{Lu_1991,
abstract = {A parallel splitting-up method (or the so celled alternating-direction method) is proposed in this paper. The method not only reduces the original linear and nonlinear problems into a series of one dimensional linear problems, but also enables us to compute all these one dimensional linear problems by parallel processors. Applications of the method to linear parabolic problem, steady state and nonsteady state Navier–Stokes problems are given. },
added-at = {2019-11-22T03:51:13.000+0100},
author = {Lu, T. and Neittaanmäki, P. and Tai, X-C.},
biburl = {https://www.bibsonomy.org/bibtex/232b00ce59e645614e42efb73b536c5cd/gdmcbain},
doi = {10.1016/0893-9659(91)90161-n},
interhash = {f12aa7df127e49515c56fd4e26269da2},
intrahash = {32b00ce59e645614e42efb73b536c5cd},
journal = {Applied Mathematics Letters},
keywords = {35q35-pdes-in-connection-with-fluid-mechanics 65m60-pdes-ibvps-finite-elements 68w10-parallel-algorithms 76d05-incompressible-navier-stokes-equations},
number = 2,
pages = {25--29},
publisher = {Elsevier {BV}},
timestamp = {2019-11-22T03:51:13.000+0100},
title = {A parallel splitting up method and its application to Navier–Stokes equations},
url = {https://doi.org/10.1016%2F0893-9659%2891%2990161-n},
volume = 4,
year = 1991
}