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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • P. Sváček

    (Czech Technical University, Department of Technical Mathematics, Faculty of Mechanical Engeneering)

  • K. Najzar

    (Charles University, Department of Numerical Analysis, Faculty of Mathematics and Physics)

Abstract

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.

Suggested Citation

  • P. Sváček & K. Najzar, 2003. "Numerical results and error estimates for the finite element solution of problems with nonlinear boundary condition on nonpolygonal domains," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 593-602, Springer.
  • Handle: RePEc:spr:sprchp:978-88-470-2089-4_56
    DOI: 10.1007/978-88-470-2089-4_56
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