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Article information
2007 , Volume 12, ¹ 3, p.53-70
Isaev V.I., Shapeev V.P., Eremin S.A.
An investigation of the collocation and the least squares method for solution of boundary value problems for the Navier - Stokes and Poisson equations
A new version of the collocation and least squares (CLS) method is proposed and implemented. The dependence of method's properties on its parameters (coordinates of collocation points, coordinates of matching conditions points on cells' boundaries, weight parameters of equations) is investigated. Essential dependence of smoothness and accuracy of the approximate solution and of other properties of the proposed method on the parameters is observed. It is shown that the research of that kind is necessary.
[full text] Author(s):
Isaev Vadim Ismailovitch
Position: Student
Address: 630090, Russia, Novosibirsk
Phone Office: (383) 330 73 46
E-mail: issaev.vadim@gmail.com
Shapeev Vasily Pavlovich
Dr. , Professor
Position: General Scientist
Office: Institute of Theoretical and Applied Mechanics of SB RAS, Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Institutskaya Str., 4/1
Phone Office: (383) 330 27 13
E-mail: vshapeev@ngs.ru
SPIN-code: 7128-5536Eremin Stepan Alexandrovich
Office: Institute of Theoretical and Applied Mechanics of SB RAS
Address: Russia, Novosibirsk, Novosibirsk, Institutskaya Str., 4/1
Phone Office: (383) 330 73 46
E-mail: eremin_s@gorodok.net
Bibliography link:
Isaev V.I., Shapeev V.P., Eremin S.A. An investigation of the collocation and the least squares method for solution of boundary value problems for the Navier - Stokes and Poisson equations // Computational technologies. 2007. V. 12. ¹ 3. P. 53-70
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