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

Abstract

Superconvergent error estimates in e2(H1) and einfinity(H1) norms are derived for recovered gradients of finite difference in time/piecewise 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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADA455453

Entities

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  • J. R. Whiteman
  • M. F. Wheeler

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  • Rice University

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  • Mathematics

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

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