Numerical results and error estimates for the finite element solution of problems with nonlinear boundary condition on nonpolygonal domains
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.
KeywordsQuadrature Formula Convergence Order Finite Element Solution Nonlinear Boundary Condition Polygonal Domain
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