Skip to main content
Log in

Finite element analysis of varitional crimes for a quasilinear elliptic problem in 3D

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

Summary.

We examine a finite element approximation of a quasilinear boundary value elliptic problem in a three-dimensional bounded convex domain with a smooth boundary. The domain is approximated by a polyhedron and a numerical integration is taken into account. We apply linear tetrahedral finite elements and prove the convergence of approximate solutions on polyhedral domains in the \(W^1_2\)-norm to the true solution without any additional regularity assumptions.

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Additional information

Received May 23, 1997 / Published online December 6, 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Korotov, S., Křížek, M. Finite element analysis of varitional crimes for a quasilinear elliptic problem in 3D. Numer. Math. 84, 549–576 (2000). https://doi.org/10.1007/s002110050010

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002110050010

Navigation