1,721,015 research outputs found
A family of C0 finite elements for Kirchhoff plates I: error analysis
No full textA new finite element formulation for the Kirchhoff plate model is presented. The method is a displacement formulation with the deflection and the rotation vector as unknowns, and it is based on ideas stemming from a stabilized method for the Reissner–Mindlin model [R. Stenberg, in Asymptotic Methods for Elastic Structures, P. Ciarlet, L. Trabucho, and J. M. Viano, eds., de Gruyter, Berlin, 1995] and a method to treat a free boundary [P. Destuynder and T. Nevers, RAIRO Modél. Math. Anal. Numér., 22 (1988), pp. 217–242]. Optimal a priori and a posteriori error estimates are derived
A posteriori estimates for the stokes eigenvalue problem
No full textWe consider the Stokes eigenvalue problem. For the eigenvalues we derive both upper and lower a-posteriori error bounds. The estimates are verified by numerical computations
A posteriori error estimates for the Morley plate bending element
No full textA local a posteriori error indicator for the well known Morley element for the Kirchhoff plate bending problem is presented. The error indicator is proven to be both reliable and efficient. The technique applied is general and it is shown to have also other applications
A Posteriori Error Analysis for the Postprocessed MITC Plate Elements
No full textWe present an a posteriori error analysis for the postprocessed mixed interpolated tensorial components (MITC) finite element methods approximating the solution of the Reissner--Mindlin plate bending problem. We first prove a new a priori error estimate by utilizing the results for the postprocessing method. Then we introduce a residual-based a posteriori error estimator and prove its reliability and efficiency with techniques similar to those recently used for the original MITC elements. The basic features of the error estimator in adaptive computations are illustrated by a series of numerical tests for a triangular low order element
A posteriori error analysis for the Morley plate element with general boundary conditions
No full textThis paper introduces and analyses a local, residual-based a posteriori error indicator for the Morley finite element method of the biharmonic Kirchhoff plate bending problem. In the theoretical part of the paper, a recent approach presented by the authors for clamped boundaries is extended to general boundary conditions. The error indicator is proven to be both reliable and efficient. The numerical part of the paper presents a set of results on various benchmark computations with different kinds of domains and boundary conditions. These tests verify the reliability and efficiency of the error estimator and illustrate the robustness of the method for adaptive mesh refinements
A family of finite elements for Kirchhoff plates II: numerical tests.
No full textA new family of C0 Kirchhoff plate elements has been introduced by the authors in the theoretical counterpart of the present paper; A family of C0 finite elements for Kirchhoff plates I: Error analysis. The method presented is a displacement formulation with the deflection and the rotation as unknowns. In the theoretical part, an a priori and an a posteriori error analysis has been accomplished for the family. In the present contribution, the authors first give a supplementary derivation of the method and recall the main theoretical results, then focus on the computational aspects of the method, and finally present a set of numerical results on various benchmark computations. These tests verify the optimal convergence rate of the method and illustrate the robustness of the reliable and efficient residual-based a posteriori error estimator for adaptive mesh refinements
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
A priori and a posteriori error analysis for a family of Reissner-Mindlin plate elements
No full textA family of plate elements introduced by Falk and Tu [25] is considered. A new stability and a-priori error analysis is given. In addition, an a-posteriori error estimate is proved. The analysis is confirmed by numerical benchmark computations
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