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Application of the variational Germano identity to the variational multiscale formulation

✍ Scribed by A. A. Oberai; D. Sondak

Publisher
Wiley (John Wiley & Sons)
Year
2011
Tongue
English
Weight
197 KB
Volume
27
Category
Article
ISSN
2040-7939

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✦ Synopsis

We examine the connection between the variational multiscale (VMS) formulation and the variational counterpart of the Germano identity (VGI). We note that they are both based on the same multiscale construct of a given coarse scale space and a user-defined projector into this space, which defines the desired numerical solution. By utilizing this connection we demonstrate how the VGI may be used to determine parameters for the models derived using the VMS formulation.

πŸ“œ SIMILAR VOLUMES

Computational Aspects of the Ultra-Weak
Computational Aspects of the Ultra-Weak Variational Formulation
✍ Tomi Huttunen; Peter Monk; Jari P. Kaipio πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 337 KB

The ultra-weak variational formulation (UWVF) approach has been proposed as an effective method for solving Helmholtz problems with high wave numbers. However, for coarse meshes the method can suffer from instability. In this paper we consider computational aspects of the ultra-weak variational form