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Error estimates for the finite element solution of elliptic problems with nonlinear newton boundary conditions |
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| Authors: | Miloslav Foistauer Karel Najzar Vcronika Sobotíková |
| Affiliation: | 1. Faculty of Mathematics and Physics , Institute of Numerical Mathematics, Charles University , Malostranské nám. 25, Praha 1, 11800;2. Department of Mathematics , Faculty of Electrical Engineering. Czech Technical University , Technická 2, Praha 6, 166 27, Czech Republic E-mail: feist @ms.mff.cuni.cz, knaj@ms.mff.cuni.cz, veronika@mafh.feld.cvut.cz |
| Abstract: | The paper is concerned with the study of an elliptic boundary value problem with a nonlinear Newton boundary condition. The existence and uniqueness of the solution of the continuous pioblem is a consequence of the monotone operator theory. The main attention is paid to the investigation of the finite element approximation using numeriral integration for the evaluation of boundary integrals. The error estimates for the solution of the discrete finite element problem are derived |
| Keywords: | elliptic equation nonlinear Newton boundary condition monotone operator method finite element approximation numerical integration error analysis 65 N 30 G5 N 15 |