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• W2078045751 abstract "We present a general treatment of the variational multiscale method in the context of an abstract Dirichlet problem. We show how the exact theory represents a paradigm for subgrid-scale models and a posteriori error estimation. We examine hierarchical p-methods and bubbles in order to understand and, ultimately, approximate the ‘fine-scale Green's function’ which appears in the theory. We review relationships between residual-free bubbles, element Green's functions and stabilized methods. These suggest the applicability of the methodology to physically interesting problems in fluid mechanics, acoustics and electromagnetics." @default.
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• W2078045751 date "1998-11-01" @default.
• W2078045751 modified "2023-10-14" @default.
• W2078045751 title "The variational multiscale method—a paradigm for computational mechanics" @default.
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• W2078045751 doi "https://doi.org/10.1016/s0045-7825(98)00079-6" @default.
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