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Abstract: In this paper, wave interaction with a bottom-mounted uniform porous cylinder of arbitrary shape is studied using SBFEM (Scaled Boundary Finite-element Method) and domain decomposition technique. The non-homogeneous equation due to the complex configuration of the structure is processed by introducing a porous effect parameter G. The resulting final scaled boundary finite-element equation is homogeneous and can be solved in conventional manners. Only the boundary is spatially discretized with curved surface finite elements, leading a reduction of the spatial dimension by one. The solution in the radial direction is analytical; while in the circumferential direction, the solution is numerical. High accuracy is achieved with a small number of surface finite elements. [Copyright &y& Elsevier]

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]