Results 21 to 30 of about 4,651 (187)
Superconvergence of Galerkin variational integrators
7 pages, no figures.
Sina Ober-Blöbaum, Mats Vermeeren
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Global superconvergence for Maxwell's equations [PDF]
This paper concerns the global superconvergence of a mixed finite element scheme and of a finite element scheme for Maxwell's equations in \(\mathbb{R}^3\). The technique of integral identity on a rectangular mesh is used for the superconvergence analysis. The method is generalized for more general domains and problems with variable coefficients.
Qun Lin 0001, Ningning Yan
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Galerkin and Runge–Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence [PDF]
. We unify the formulation and analysis of Galerkin and Runge–Kutta methods for the time discretization of parabolic equations. This, together with the concept of reconstruction of the approximate solutions, allows us to establish a posteriori ...
A. Lozinski +21 more
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Duality, Superconvergence and the Phases of Gauge Theories [PDF]
Results about the phase structure of certain N=1 supersymmetric gauge theories, which have been obtained as a consequence of holomorphy and `electric-magnetic' duality, are shown to be in quantitative agreement with corresponding consequences of ...
Banks +42 more
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Superconvergence Postprocessing for Eigenvalues
AbstractThe main goal of this paper is to present a new strategy of increasing the convergence rate for the numerical solution of the linear finite element eigenvalue problems. This is done by introducing a postprocessing technique for eigenvalues. The postprocessing technique deals with solving a corresponding linear elliptic problem.
Racheva, M. R., Andreev, A. B.
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Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t])
This paper is concerned with the convergence, global superconvergence, local superconvergence, and stability of collocation methods for u′(t)=au(t)+bu([t]).
Han Yan +3 more
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Superconvergence of finite element method for parabolic problem
We study superconvergence of a semi-discrete finite element scheme for parabolic problem. Our new scheme is based on introducing different approximation of initial condition.
Do Y. Kwak, Sungyun Lee, Qian Li
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Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]
This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
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Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems
We study the strong superconvergence of a semidiscrete finite element scheme for linear parabolic problems on 𝑄=Ω×(0,𝑇], where Ω is a bounded domain in ℛ𝑑(𝑑≤4) with piecewise smooth boundary. We establish the global two order superconvergence results for
Kening Wang, Shuang Li
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In this paper, the unconditional superconvergence error analysis of the semi-implicit Euler scheme with low-order conforming mixed finite element discretization is investigated for time-dependent Navier–Stokes equations.
Xiaoling Meng, Huaijun Yang
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