Results 41 to 50 of about 1,836 (211)
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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Adaptive variational discretization approximation method for parabolic optimal control problems
Journal of Inequalities and Applications, 2020 In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme.
Yuelong Tang, Yuchun Hua
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A posteriori error estimates based on superconvergence of FEM for fractional evolution equations
Open Mathematics, 2021 In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The
Tang Yuelong, Hua Yuchun
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Superconvergence in Iterated Solutions of Integral Equations [PDF]
, 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.
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Fractal and Fractional, 2021 We consider general linear multi-term Caputo fractional integro-differential equations with weakly singular kernels subject to local or non-local boundary conditions.
Arvet Pedas, Mikk Vikerpuur
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On the Superconvergence of ESFR Schemes
CoRR17 pages, 3 ...
Mathias Dufresne-Piché, Siva Nadarajah
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An immediate analysis for global superconvergence for integrodifferential equations [PDF]
, 1997 summary:In this paper we study the finite element approximations to the parabolic and hyperbolic integrodifferential equations and present an immediate analysis for global superconvergence for these problems, without using the Ritz projection or its ...
Zhang, Shuhua, Lin, Qun
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The gradient superconvergence of the finite volume method for a nonlinear elliptic problem of nonmonotone type [PDF]
, 2007 summary:We study the superconvergence of the finite volume method for a nonlinear elliptic problem using linear trial functions. Under the condition of $C$-uniform meshes, we first establish a superclose weak estimate for the bilinear form of the finite ...
Zhang, Shuhua +4 more
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