Finite element approximation for fourth-order nonlinear problem in the plane
نویسندگان
چکیده
In this paper, a class of fourth-order nonlinear elliptic problem is investigated in a bounded convex domain X R. Under some assumptions, the existence and uniqueness of solution are proved via the Schaefer’s Fixed Point Theorem. Furthermore, conforming finite element approximation is applied and H-error estimate and L-error estimate are obtained. Finally, the numerical experiments are provided to verify our theoretical analysis. 2007 Elsevier Inc. All rights reserved.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 194 شماره
صفحات -
تاریخ انتشار 2007