Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703237 | Applied Mathematical Modelling | 2014 | 17 Pages |
Abstract
In this paper, the convergence of a general algorithm with θθ-type stabilization form for the variational multiscale (VMS) method is presented. Meanwhile, explicit-type and implicit-type algorithms with linear convergence and quadratic convergence are derived from the θθ-type algorithm, respectively. The combination of explicit-type and implicit-type algorithms are applied to adaptive VMS, which shows good efficiency. Finally, some numerical tests are shown to support the convergence analysis.
Keywords
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Feng Shi, Haibiao Zheng, Jiaping Yu, Ying Li,