Results 21 to 30 of about 4,597 (168)

Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations [PDF]

open access: yes, 2012
We consider an initial-boundary value problem for $\partial_tu-\partial_t^{-\alpha}\nabla^2u=f(t)$, that is, for a fractional diffusion ...
Eriksson K.   +2 more
core   +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

The conformal window in QCD and supersymmetric QCD [PDF]

open access: yes, 1999
In both QCD and supersymmetric QCD (SQCD) with N_f flavors there are conformal windows where the theory is asymptotically free in the ultraviolet while the infrared physics is governed by a non-trivial fixed-point.
Gardi, Einan, Grunberg, Georges
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

Superconvergence Analysis of Discontinuous Galerkin Methods for Systems of Second-Order Boundary Value Problems

open access: yesComputation, 2023
In this paper, we present an innovative approach to solve a system of boundary value problems (BVPs), using the newly developed discontinuous Galerkin (DG) method, which eliminates the need for auxiliary variables.
Helmi Temimi
doaj   +1 more source

Superconvergence for optimal control problems governed by semilinear parabolic equations

open access: yesAIMS Mathematics, 2022
In this paper, we first investigate optimal control problem for semilinear parabolic and introduce the standard $ L^2(\Omega) $-orthogonal projection and the elliptic projection.
Chunjuan Hou   +4 more
doaj   +1 more source

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

Legendre Superconvergent Degenerate Kernel and Nystrom Methods for Fredholm Integral Equations [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, polynomial-based superconvergent degenerate kernel and {Nyström} methods for solving {Fredholm} integral equations of the second kind with  the smooth kernel are studied.
Bouda Hamza   +2 more
doaj   +1 more source

Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation

open access: yesBoundary Value Problems, 2018
The main aim of this paper is to apply a low order nonconforming EQ1rot $\mathit{EQ}_{1}^{\mathrm{rot}}$ finite element to solve the nonlinear Schrödinger equation. Firstly, the superclose property in the broken H1 $H^{1}$-norm for a backward Euler fully-
Chao Xu   +3 more
doaj   +1 more source

SIAC Filtering for Nonlinear Hyperbolic Equations [PDF]

open access: yes, 2015
We present the results of the symmetric and one-sided Smoothness-Increasing Accuracy-Conserving (SIAC) filter applied to a discontinuous Galerkin (DG) approximation for two examples of nonlinear hyperbolic conservation laws.
Li, Xiaozhou, Ryan, Jennifer
core   +1 more source

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