Results 11 to 20 of about 1,675 (160)
Superconvergence of finite element method for parabolic problem [PDF]
International 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
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Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems [PDF]
International 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
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Superconvergence and error estimation of finite element solutions to fire-exposed frame problems [PDF]
, 2000 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.When a fire reaches the point of flashover the hot gases inside the burning room ignite resulting in furnace-like conditions.
Kirby, James Alexander
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Exploiting Superconvergence Through Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering [PDF]
, 2015 There has been much work in the area of superconvergent error analysis for finite element and discontinuous Galerkin (DG) methods. The property of superconvergence leads to the question of how to exploit this information in a useful manner, mainly ...
Ryan, Jennifer
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上海师范大学学报. 自然科学版, 2021 In this paper, we study the spectral collocation method for the initial value problems of ordinary differential equations. Based on Legendre-Gauss points, we propose the spectral collocation method for the initial value problems of first-order and second-
QIAN Yiyun +5 more
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Legendre Superconvergent Degenerate Kernel and Nystrom Methods for Fredholm Integral Equations [PDF]
Sahand 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
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Computation, 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
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Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t])
Journal 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
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Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation
Boundary 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
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A review of two different approaches for superconvergence analysis [PDF]
, 1998 summary:In 1995, Wahbin presented a method for superconvergence analysis called “Interior symmetric method,” and declared that it is universal. In this paper, we carefully examine two superconvergence techniques used by mathematicians both in China and ...
Zhu, Qiding
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