Accession Number:

ADA455453

Title:

Superconvergence of Recovered Gradients of Discrete Time/Piecewise Linear Galerkin Approximations for Linear and Nonlinear Parabolic Problems

Descriptive Note:

Technical rept.

Corporate Author:

RICE UNIV HOUSTON TX DEPT OF MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1992-03-01

Pagination or Media Count:

51.0

Abstract:

Superconvergent error estimates in e2H1 and einfinityH1 norms are derived for recovered gradients of finite difference in timepiecewise linear Galerkin approximations in space for linear and quasi-nonlinear parabolic problems in two space dimensions. The analysis extends previous results for elliptic problems to the parabolic context, and covers problems in regions with non-smooth boundaries under certain assumptions on the regularity of the solutions.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE