Results 21 to 30 of about 1,675 (160)

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

Error estimates for external approximation of ordinary differential equations and the superconvergence property [PDF]

open access: yes, 1988
summary:A pointwise error estimate and an estimate in norm are obtained for a class of external methods approximating boundary value problems. Dependence of a superconvergence phenomenon on the external approximation method is studied.
Regińska, Teresa
core   +1 more source

Superconvergence in Iterated Solutions of Integral Equations [PDF]

open access: yes, 1998
In this thesis, we investigate the superconvergence phenomenon of the iterated numerical solutions for the Fredholm integral equations of the second kind as well as a class of nonliner Hammerstein equations.
Padilla, Peter A.
core   +1 more source

Analysis of stabilized finite volume method for poisson equation

open access: yesMathematical 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
doaj   +1 more source

Superconvergence of external approximation for two-point boundary problems [PDF]

open access: yes, 1987
summary:The superconvergence property of a certain external method for solving two point boundary value problems is established. In the case when piecewise polynomial spaces are applied, it is proved that the convergence rate of the approximate solution ...
Regińska, Teresa
core   +1 more source

Mixed approximation of eigenvalue problems : a superconvergence result [PDF]

open access: yes, 2009
We state a superconvergence result for the lowest order Raviart-Thomas approximation of eigenvalue problems. It is known that a similar superconvergence result holds for the mixed approximation of Laplace problem; here we introduce a new proof, since the
Gardini, Francesca, Francesca Gardini
core   +1 more source

Superconvergence of a finite element method for linear integro-differential problems

open access: yesInternational 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
doaj   +1 more source

Quadratic/linear rational spline interpolation

open access: yesMathematical 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
doaj   +1 more source

Shocks, superconvergence, and a stringy equivalence principle

open access: yesJournal of High Energy Physics, 2020
We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on the shock ordering — in other words, coincident gravitational shocks ...
Murat Koloğlu   +3 more
doaj   +1 more source

Superconvergence of Semidiscrete Splitting Positive Definite Mixed Finite Elements for Hyperbolic Optimal Control Problems

open access: yesAdvances 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
doaj   +1 more source

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