Mesh Smoothing Using A Posteriori Error Estimates

  • Authors:
  • Randolph E. Bank;R. Kent Smith

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Numerical Analysis
  • Year:
  • 1997

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Abstract

We develop a simple mesh-smoothing algorithm for adaptively improving finite-element triangulations. The algorithm makes use of a posteriori error estimates which are now widely used in finite-element calculations. In this paper we derive the method, present some numerical illustrations, and give a brief analysis of the issue of uniqueness.