Results 31 to 40 of about 1,325 (220)
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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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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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 ...
Jennifer K. Ryan, Ryan, Jennifer
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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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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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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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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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Superconvergence for rectangular mixed finite elements [PDF]
, 1990 In this paper we prove superconvergence error estimates for the vector variable for mixed finite element approximations of second order elliptic problems. For the rectangular finite elements of Raviart and Thomas and for those of Brezzi et al.
Durán, Ricardo Guillermo
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