Skip to main content
Log in

New anisotropic a priori error estimates

  • Original article
  • Published:
Numerische Mathematik Aims and scope Submit manuscript


We prove a priori anisotropic estimates for the \(L^2\) and \(H^1\) interpolation error on linear finite elements. The full information about the mapping from a reference element is employed to separate the contribution to the elemental error coming from different directions. This new \(H^1\) error estimate does not require the “maximal angle condition”. The analysis has been carried out for the 2D case, but may be extended to three dimensions. Numerical experiments have been carried out to test our theoretical results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Author information

Authors and Affiliations


Additional information

Received March 3, 2000 / Revised version received June 27, 2000 / Published online April 5, 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Formaggia, L., Perotto, S. New anisotropic a priori error estimates. Numer. Math. 89, 641–667 (2001).

Download citation

  • Issue Date:

  • DOI: