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

P. Sváček and K. Najzar
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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

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 593-602 from Springer

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.

Keywords: Quadrature Formula; Convergence Order; Finite Element Solution; Nonlinear Boundary Condition; Polygonal Domain (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_56

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DOI: 10.1007/978-88-470-2089-4_56

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