Results 71 to 80 of about 1,675 (160)

Discrete Legendre modified projection-type methods for Hammerstein integral equations

Математичні Студії
We investigate discrete modified projection-type methods for the numerical approximation of nonlinear Hammerstein integral equations with sufficiently smooth kernels.
H. Bouda, C. Allouch, M. Arrai
doaj   +1 more source

Orthogonal polynomial bases in the mixed virtual element method

Numerical Methods for Partial Differential Equations, Volume 40, Issue 6, November 2024.
Abstract The use of orthonormal polynomial bases has been found to be efficient in preventing ill‐conditioning of the system matrix in the primal formulation of Virtual Element Methods (VEM) for high values of polynomial degree and in presence of badly‐shaped polygons.
Stefano Berrone, Stefano Scialò, Gioana Teora   +2 more
wiley   +1 more source

Capturing Multiple Singularities with Spectral Accuracy for Multi-Term Fractional Differential Equations

Mathematics
This paper develops a robust numerical scheme based on a frame collocation method for solving multi-term fractional ordinary differential equations (FODEs) whose solutions exhibit multiple singularities at the origin.
Han Fu, Tinggang Zhao, Benxue Gong
doaj   +1 more source

Superconvergence Analysis of Finite Element Method for a Second-Type Variational Inequality

Journal of Applied Mathematics, 2012
This paper studies the finite element (FE) approximation to a second-type variational inequality. The supe rclose and superconvergence results are obtained for conforming bilinear FE and nonconforming EQrot FE schemes under a reasonable regularity of the
Dongyang Shi, Hongbo Guan, Xiaofei Guan
doaj   +1 more source

Efficient finite element numerical solution of the variable coefficient fractional subdiffusion equation

Advances in Difference Equations, 2019
Based on the weighted and shifted Grünwald formula, a fully discrete finite element scheme is derived for the variable coefficient time-fractional subdiffusion equation.
Lin He, Juncheng Lv
doaj   +1 more source

Superconvergence of Jacobi Gauss type spectral interpolation

, 2014
In this paper, we extend the study of superconvergence properties of Chebyshev-Gauss-type spectral interpolation in Zhang (SIAM J Numer Anal 50(5):2966–2985, 2012) to general Jacobi–Gauss-type interpolation. We follow the same principle as in Zhang (SIAM
Zhao, Xiaodan, Zhang, Zhimin, Wang, Li-Lian   +2 more
core   +1 more source

Superconvergence for rectangular mixed finite elements [PDF]

, 2022
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
core  

Cell Curvature and Far-Field Superconvergence in Numerical Solutions of Electromagnetic Integral Equations

International Journal of Antennas and Propagation, 2016
Two curved targets are used to explore far-field superconvergence effects arising in numerical solutions of the electric-field and magnetic-field integral equations.
Andrew F. Peterson
doaj   +1 more source

Convergence and superconvergence of variational discretization for parabolic bilinear optimization problems

Journal of Inequalities and Applications, 2019
In this paper, we investigate a variational discretization approximation of parabolic bilinear optimal control problems with control constraints. For the state and co-state variables, triangular linear finite element and difference methods are used for ...
Yuelong Tang, Yuchun Hua
doaj   +1 more source

Superconvergence of Finite Element Approximations to Parabolic and Hyperbolic Integro-Differential Equations

, 2001
The object of this paper is to investigate the superconvergence properties of finite element approximations to parabolic and hyperbolic integro-differential equations.The quasi projection technique introduced earlier by Douglas et al.is developed to ...
Zhang T(张铁), Li ZJ(李长军)
core