A space-time formulation for multiscale phenomena

Thomas J.R. Hughes, James R. Stewart · Journal of Computational and Applied Mathematics · 1996

We develop subgrid scale models for a class of nonsymmetric, linear evolution operators by applying the variational multiscale method in space-time. The results generalize those of Hughes [14] which were confined to the steady case. The subgrid scale models are shown to be a paradigm for “bubble” function finite element methods and provide a theoretical and practical framework for the development of so-called stabilized methods.

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