Spectral Galerkin Method in Space and Time for the 2D -Navier-Stokes EquationsReport as inadecuate




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Abstract and Applied AnalysisVolume 2013 2013, Article ID 805685, 18 pages

Research ArticleFaculty of Information Technology, Le Quy Don Technical University, 100 Hoang Quoc Viet, Cau Giay, Hanoi 10000, Vietnam

Received 20 March 2013; Accepted 20 June 2013

Academic Editor: Chengjian Zhang

Copyright © 2013 Dao Trong Quyet. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove the -stability and -error analysis of the spectralGalerkin method in space and time with the implicit-explicit Euler scheme for the 2D -Navier-Stokes equations in bounded domains when the initial data belong to .





Author: Dao Trong Quyet

Source: https://www.hindawi.com/



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