The Finite Element Analysis of an Elliptic Problem with a Nonlinear Newton Boundary Condition

Veronika Sobotíková ()
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Veronika Sobotíková: Czech Technical University, Department of Mathematics, Faculty of Electrical Engineering

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 766-774 from Springer

Abstract: Summary Results of the study of an elliptic 2D problem with a nonlinear Newton boundary condition are presented. The problem is discretized with the use of the FEM and the integrals are evaluated by numerical quadratures. In the case of a nonpolygonal domain the main attention is paid to the effect of a piecewise linear approximation of the boundary. The error estimate for the solution of the discrete FE problem is derived.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_75

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DOI: 10.1007/978-3-642-18775-9_75

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