Accession Number:

ADA272112

Title:

Numerical Methods for Singularly Perturbed Differential Equations with Applications

Descriptive Note:

Final rept. 1 Apr 90-31 Mar 93,

Corporate Author:

RENSSELAER POLYTECHNIC INST TROY NY DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1993-03-31

Pagination or Media Count:

25.0

Abstract:

During the three-year period of this project, we conducted research on the development, analysis, and application of serial and parallel adaptive computational strategies for solving transient and steady partial differential systems. Concentrating on high-order methods and adaptive approaches that combine mesh refinement and coarsening h-refinement, order variation p- refinement, and occasionally, mesh motion r-refinement, we addressed problems in combustion, materials science and compressible fluid mechanics. Special spatially-discrete finite element Galerkin methods were considered for the parallel and adaptive solution of hyperbolic conservation laws. Improved solution-limiting and error-estimation strategies increased the accuracy and efficiency of these methods which are being applied to two - and three- dimensional compressible flow problems. Adaptive techniques for dissipative systems are being applied to problems in the manufacture of ceramic composite media.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE