𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The discontinuous enrichment method for multiscale analysis

✍ Scribed by Charbel Farhat; Isaac Harari; Ulrich Hetmaniuk

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
202 KB
Volume
192
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

Computation naturally separates scales of a problem according to the mesh size. A variety of improved numerical methods are described by multiscale considerations, differing in the treatment of the unresolved, fine scales. The discontinuous enrichment method provides a unique multiscale approach to computation by employing fine scales that contain solutions of the homogeneous partial differential equation in a discontinuous framework. The method thus combines relative ease of implementation with improved numerical performance. These properties are demonstrated for both multiscale wave and transport problems, pointing to the potential of considerable savings in computational resources.

πŸ“œ SIMILAR VOLUMES

The discontinuous enrichment method
The discontinuous enrichment method
✍ Charbel Farhat; Isaac Harari; Leopoldo P. Franca πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 487 KB
A discontinuous enrichment method for ca
A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems
✍ Radek Tezaur; Lin Zhang; Charbel Farhat πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 538 KB

An evanescent wave is produced when a propagating incident wave impinges on an interface between two media or materials at a subcritical angle. The sub-scale nature of such a wave makes it difficult to be captured computationally. In this paper, the Discontinuous Enrichment Method (DEM) developed in