Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains. (Q1405171)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains. |
scientific article; zbMATH DE number 1970726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains. |
scientific article; zbMATH DE number 1970726 |
Statements
Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains. (English)
0 references
25 August 2003
0 references
The authors consider the boundary value problem of a second-order elliptic type equation with highly oscillatory coefficients over general Lipschitz convex domains, and obtains a multiscale asymptotic expansion of the solutions for this kind of problem. At the same time, a high accuracy finite element computing scheme and a post-processing technique are presented. Finally, numerical results strongly support the theoretical analysis.
0 references
second-order elliptic type equation
0 references
highly oscillatory coefficient
0 references
finite element method
0 references
multiscale asymptotic expansion
0 references
post-processing technique
0 references
numerical results
0 references
0 references
0 references
