منابع مشابه
Superconvergence Phenomena on Three-dimensional Meshes
We give an overview of superconvergence phenomena in the finite element method for solving three-dimensional problems, in particular, for elliptic boundary value problems of second order over uniform meshes. Some difficulties with superconvergence on tetrahedral meshes are presented as well. For a given positive integer m we prove that there is no tetrahedralization of R3 whose all edges are m-...
متن کاملSuperconvergence in Finite - Element Methods
My research focuses on applied aspects of the calculus of variations and partial differential equations, particularly nonlinear equations arising from physics and chemistry, and numerical analysis and scientific computing, particularly finite-element analysis and numerical methods for interface motion. I have worked on mathematical and numerical problems arising from materials science, such as ...
متن کاملGradient superconvergence on uniform simplicial partitions of polytopes
Superconvergence of the gradient for the linear simplicial finite-element method applied to elliptic equations is a well known feature in one, two, and three space dimensions. In this paper we show that, in fact, there exists an elegant proof of this feature independent of the space dimension. As a result, superconvergence for dimensions four and up is proved simultaneously. The key ingredient ...
متن کاملAnalysis of a Class of Superconvergence Patch Recovery Techniques for Linear and Bilinear Finite Elements
Department of Mathematics, University of California at Los Angeles, and Department of Mathematics, University of Maryland at College Park. Current address: Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, CA 900951555, U.S.A. E-mail: [email protected]. The work of this author was supported by ARPA/URI/ONR through grant N00014-92-J-1890. Department of Mathema...
متن کاملOn superconvergence of sums of free random variables
This paper derives sufficient conditions for supeconvergence of sums of bounded free random variables, and provides an estimate on the rate of su-
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ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 1987
ISSN: 0167-8019,1572-9036
DOI: 10.1007/bf00047538