Finite element approximation of the first eigenvalue of a nonlinear problem for some special domains
نویسنده
چکیده
In this paper we present a method for the numerical approximation of the smallest eigenvalue of a nonlinear eigenvalue problem using the finite element method. Numerical results are presented for some special domains when the domain is bounded by a square, a ”circle”, a ”semicircle”, or a quadrant of a ”circle”. We compare the exact solutions with the approximate solutions when the exact solutions are known. We show a connection among the first eigenvalues related to different domains.
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