Results 81 to 90 of about 1,325 (220)

Superconvergence of the function value for pentahedral finite elements for an elliptic equation with varying coefficients

Boundary Value Problems, 2020
In this article, for an elliptic equation with varying coefficients, we first derive an interpolation fundamental estimate for the P 2 ( x , y ) ⊗ P 2 ( z ) $\mathcal{P}_{2}(x,y)\otimes \mathcal{P}_{2}(z)$ pentahedral finite element over uniform ...
Jinghong Liu, Qiding Zhu
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

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  

An experimental study of superconvergence phenomena in finite element magnetics

, 2018
The usefulness of superconvergence phenomena in practical finite element magnetics is investigated. Reports on the superconvergent characteristics of potential-based derivatives at the Gauss-Legendre quadrature points of first-order elements are tested ...
Giannacopoulos, Dennis D., McFee, Steve
core   +1 more source

Multidomain spectral approach to rational‐order fractional derivatives

Studies in Applied Mathematics, Volume 152, Issue 4, Page 1110-1132, May 2024.
Abstract We propose a method to numerically compute fractional derivatives (or the fractional Laplacian) on the whole real line via Riesz fractional integrals. The compactified real line is divided into a number of intervals, thus amounting to a multidomain approach; after transformations in accordance with the underlying Zq$Z_{q}$ curve ensuring ...
Christian Klein, Nikola Stoilov
wiley   +1 more source

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

Imposing different boundary conditions for thermal computational homogenization problems with FFT‐ and tensor‐train‐based Green's operator methods

International Journal for Numerical Methods in Engineering, Volume 125, Issue 7, 15 April 2024.
Abstract To compute the effective properties of random heterogeneous materials, a number of different boundary conditions are used to define the apparent properties on cells of finite size. Typically, depending on the specific boundary condition, different numerical methods are used.
Lennart Risthaus, Matti Schneider
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