Authors
Thomas JR Hughes, Gonzalo R Feijóo, Luca Mazzei, Jean-Baptiste Quincy
Publication date
1998/11/13
Journal
Computer methods in applied mechanics and engineering
Volume
166
Issue
1-2
Pages
3-24
Publisher
North-Holland
Description
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.
Total citations
Scholar articles
TJR Hughes, GR Feijóo, L Mazzei, JB Quincy - Computer methods in applied mechanics and …, 1998