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Superconvergence for Triangular Linear Edge Elements

Communications in Computational Physics, 2019
Summary: Superconvergence for the lowest-order edge finite elements on strongly regular triangulation is studied. By the averaging technique, superconvergence of order \(\mathcal{O}(h^2)\) is established at the midpoint of the interior edge for both the finite element solution and the curl of the finite element solution.
Wu, Chao   +4 more
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Superconvergence in the generalized finite element method

Numerische Mathematik, 2007
The paper is concerned with the problem of superconvergence in the context of the generalized finite element method, first introduced by \textit{I. Babuška, G. Caluz} and \textit{J. E. Osborn} [SIAM J. Numer. Anal. 31, 945--981 (1994; Zbl 0807.65114)].
Ivo Babuska   +2 more
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Superconvergence of a Chebyshev Spectral Collocation Method

Journal of Scientific Computing, 2007
A Chebyshev spectral collocation method is derived for approximating the solution of the second-order two point differential boundary value problems in terms of Chebyshev polynomials \[ u_p= \sum^p_1 a_m\psi_m(x),\quad\psi_m(x)= \int^x_{-1} T_{m-1}(t)\,dt,\;m\geq 1. \] Superconvergence of the derivatives \(u_p'\) at zero's of \(T_m(x)\) is proved.
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Superconvergence Analysis for Metamaterials

2012
In this chapter, we first give a quick review of superconvergence analysis in Sect. 5.1. Then we carry out the superclose analysis for 3-D metamaterial Maxwell’s equations represented by the Drude model. The analysis for a semi-discrete scheme is presented in Sect. 5.2, which is followed by the analysis for two fully-discrete schemes in Sect. 5.3.
Jichun Li, Yunqing Huang
openaire   +1 more source

Superconvergence of Finite Element Approximations to Eigenspaces

Differential Equations, 2002
The results of the author [ibid. 30, No. 7, 1230-1238 (1994; Zbl 0852.65093)] concerning the superconvergence of the finite element approximation of eigenfunctions are generalized to the case of multiple eigenvalues.
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Superconvergent bootstrap model

Il Nuovo Cimento A, 1967
FREUND P. G. O, OEHME R, ROTELLI, Pietro
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Global Superconvergence in Combinations

1998
This chapter combines the piecewise bilinear elements on quasiuniform rectangular elements with the singular functions, to seek the solutions of elliptic boundary value problems of corner singularity. The global superconvergence rates O(h2-δ) for the combinations of RGM-FEM can be achieved for different coupling strategies in Parts II and III. A little
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Superconvergence in Academic Libraries:

2016
PurposeThe purpose of the research is to investigate superconvergence in academic libraries from a grass roots perspective of the staff responsible for delivering the service.Aims and objectivesThe aim of the research is to build on existing literature, extending the knowledge of current practice in the UK which, until recently, has mainly focused on ...
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Superconvergence of hybrid optoelectronic processors

Applied Optics, 1987
M A, Abushagur   +3 more
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Omnès equation and superconvergence relations

Lettere al Nuovo Cimento, 1970
G. Alberi   +2 more
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