On the finite element analysis of problems with nonlinear Newton boundary conditions in nonpolygonal domains
Miloslav Feistauer, Karel Najzar, Veronika Sobotíková (2001)
Applications of Mathematics
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The paper is concerned with the study of an elliptic boundary value problem with a nonlinear Newton boundary condition considered in a two-dimensional nonpolygonal domain with a curved boundary. The existence and uniqueness of the solution of the continuous problem is a consequence of the monotone operator theory. The main attention is paid to the effect of the basic finite element variational crimes: approximation of the curved boundary by a polygonal one and the evaluation of integrals...