Results 21 to 30 of about 4,651 (187)

Superconvergence of Galerkin variational integrators

open access: yesIFAC-PapersOnLine, 2021
7 pages, no figures.
Sina Ober-Blöbaum, Mats Vermeeren
openaire   +2 more sources

Global superconvergence for Maxwell's equations [PDF]

open access: yesMathematics of Computation, 1999
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
openaire   +2 more sources

Galerkin and Runge–Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence [PDF]

open access: yes, 2011
. 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
core   +5 more sources

Duality, Superconvergence and the Phases of Gauge Theories [PDF]

open access: yes, 1997
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
core   +2 more sources

Superconvergence Postprocessing for Eigenvalues

open access: yesComputational Methods in Applied Mathematics, 2002
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.
openaire   +1 more source

Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t])

open access: yesJournal of Applied Mathematics, 2012
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
doaj   +1 more source

Superconvergence of finite element method for parabolic problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
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
doaj   +1 more source

Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]

open access: yes, 2014
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.
core   +2 more sources

Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
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
doaj   +1 more source

Unconditional Superconvergence Error Estimates of Semi-Implicit Low-Order Conforming Mixed Finite Element Method for Time-Dependent Navier–Stokes Equations

open access: yesMathematics, 2023
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
doaj   +1 more source

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