*FINITE element method, *NUMERICAL analysis, *MATHEMATICAL analysis, *MATHEMATICS
Abstract
Abstract: In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of under a proper regularity assumption. Finally, a numerical test is given to verify our result. [Copyright &y& Elsevier]
A partial word of length n over a finite alphabet A is a partial map from {0,…, n − 1} into A. Elements of {0,…, n − 1} without image are called holes (a word is just a partial word without holes). A fundamental periodicity result on words due to Fine and Wilf [1] intuitively determines how far two periodic events have to match in order to guarantee a common period. This result was extended to partial words with one hole by Berstel and Boasson [2] and to partial words with two or three holes by Blanchet-Sadri and Hegstrom [3]. In this paper, we give an extension to partial words with an arbitrary number of holes. [Copyright &y& Elsevier]
*NUMERICAL analysis, *MATHEMATICAL analysis, *FINITE element method, *MATHEMATICS
Abstract
Abstract: In this paper, we discuss a new class of schemes, the residual distribution schemes, adapted to compressible flow problems. They can be seen as a link between pure finite element methods such as the streamline diffusion method and the high order upwind method finite volume schemes. In fact they borrow ideas from both classes and this results in very accurate compact schemes. Up to now, they are mainly adapted to triangular type meshes, but can handle steady and unsteady problems. Since the philosophy is quite different form standard schemes, we will provide a full description of the schemes and many numerical illustrations. Some still unsolved issues will also be discussed. [Copyright &y& Elsevier]