Adaptive Finite Element Methods with Convergence Rates

Abstract

Adaptive Finite Element Methods for numerically solving elliptic equations are used often in practice. Only recently have these methods been shown to converge. However, this convergence analysis says nothing about the rates of convergence of these methods and therefore does, in principle, not guarantee yet any numerical advantage of adaptive strategies versus non-adaptive strategies.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA640658

Entities

People

  • Peter Binev
  • Ron Devore
  • Wolfgang Dahmen

Organizations

  • University of South Carolina

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Convergence
  • Equations
  • Finite Element Analysis
  • Information Operations
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • South Carolina

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)