Кл.слова (ненормированные):
BiCGstab -- FEM -- Stokes problem -- Uzawa method -- Finite element method -- Gradient methods -- Incompressible flow -- Navier Stokes equations -- Numerical analysis -- Numerical methods -- Bi-CGSTAB -- Discrete problems -- Numerical techniques -- Stabilized biconjugate gradient -- Stokes equations -- Stokes problem -- Uzawa method -- Viscous incompressible fluids -- Problem solving
Аннотация: In this paper the two-dimensional Stokes equations are considered for a viscous incompressible fluid in a channel. To construct a discrete problem, we use the Taylor – Hood finite elements. When solving the discrete problem, we are interested in the comparison the stabilized biconjugate gradient method, the Arrow – Hurwicz algorithm, and the Uzawa methods. Moreover, we investigate a new modification of the Uzawa algorithm. The numerical analysis shows that the new algorithm is competitive with the Uzawa and gradient methods. © Springer International Publishing AG 2017.
Scopus,
Смотреть статью,
WOS
Держатели документа:
Institute of Computational Modelling of SB RAS, Akademgorodok, Krasnoyarsk, Russian Federation
IM&CS, Siberian Federal University, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Karepova, E.D.; Карепова, Евгения Дмитриевна; Дементьева, Екатерина Васильевна