Accession Number:

ADA128260

Title:

An Analysis of a Finite Element Method for Convection-Diffusion Problems. Part I. Quasi-Optimality.

Descriptive Note:

Final rept.,

Corporate Author:

MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS

Personal Author(s):

Report Date:

1983-03-01

Pagination or Media Count:

61.0

Abstract:

A detailed analysis is performed for a finite element method applied to the general one-dimensional convection diffusion problem. Piecewise polynomials are used for the trial space. The test space is formed by locally projecting L-spline basis functions onto upwinded polynomials. The error is measured in the LP mesh dependent norm. The method is proven to be quasi-optimal yielding nearly the best approximation from the trial space, provided that the input data is piecewise smooth. This assumption is usually observed in practice. These results are used to establish a posteriori error estimates and an adaptive mesh refinement strategy in Part II of this series 35. Author

Subject Categories:

  • Atmospheric Physics
  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE