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Numerical results and error estimates for the finite element solution of problems with nonlinear boundary condition on nonpolygonal domains

  • P. Sváček
  • K. Najzar
Conference paper

Summary

Problems with nonlinear boundary condition are studied on an elliptic 2nd order problem with nonlinear Newton boundary condition in a bounded two-dimensional domain. The main attention is paid to the analysis of the the error estimates. The effect of numerical integration is included. The obtained theoretical error estimates are documented on several numerical examples.

Keywords

Quadrature Formula Convergence Order Finite Element Solution Nonlinear Boundary Condition Polygonal Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Italia 2003

Authors and Affiliations

  • P. Sváček
    • 1
  • K. Najzar
    • 2
  1. 1.Department of Technical Mathematics, Faculty of Mechanical EngeneeringCzech Technical UniversityPrahaCzech Republic
  2. 2.Department of Numerical Analysis, Faculty of Mathematics and PhysicsCharles UniversityPrahaCzech Republic

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