Results 21 to 30 of about 207 (177)
Superconvergence of finite element method for parabolic problem
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
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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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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Mathematics, 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
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Analysis of stabilized finite volume method for poisson equation
Mathematical Modelling and Analysis, 2013 In this work, we systematically analyze a stabilized finite volume method for the Poisson equation. On stating the convergence of this method, optimal error estimates in different norms are obtained by establishing the adequate connections between the ...
Tong Zhang, Pengzhan Huang, Shunwei Xu
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Superconvergence of kernel-based interpolation [PDF]
Journal of Approximation Theory, 2018 It is well-known that univariate cubic spline interpolation, if carried out on point sets with fill distance $h$, converges only like ${\cal O}(h^2)$ in $L_2[a,b]$ for functions in $W_2^2[a,b]$ if no additional assumptions are made. But superconvergence up to order $h^4$ occurs if more smoothness is assumed and if certain additional boundary conditions
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Superconvergent Non-Polynomial Approximations
CoRR, 2020 In this paper, we introduce a superconvergent approximation method that employs radial basis functions (RBFs) in the numerical solution of conservation laws. The use of RBFs for interpolation and approximation is a well developed area of research.
Andrew J. Christlieb +2 more
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Superconvergence of a finite element method for linear integro-differential problems
International Journal of Mathematics and Mathematical Sciences, 2000 We introduce a new way of approximating initial condition to the semidiscrete finite element method for integro-differential equations using any degree of elements. We obtain several superconvergence results for the error between the approximate solution
Do Y. Kwak, Sungyun Lee, Qian Li
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Quadratic/linear rational spline interpolation
Mathematical Modelling and Analysis, 2013 We describe the construction of an interpolating quadratic/linear rational spline S of smoothness class C 2 for a strictly convex (or strictly concave) function y on [a, b].
Erge Ideon, Peeter Oja
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Advances in Mathematical Physics, 2022 In this paper, we consider semidiscrete splitting positive definite mixed finite element methods for optimal control problems governed by hyperbolic equations with integral constraints.
Yuchun Hua, Yuelong Tang
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