Error Estimates for Multiscale Finite Element Methods
by
Kirsten J. Boyd
Austin Peay State University
Coauthors: Todd Arbogast

We consider the problem of numerical approximation of the solution of an elliptic PDE whose coefficients have

large variations in magnitude over a small spatial scale, as is often the case in porous media flow problems.

Multiscale basis functions (rather than standard ones) are used in order to reduce the problem to tractable size.

These basis functions will be described and estimates for the error of the numerical solution will be given.

Date received: September 27, 2007