Results 81 to 90 of about 4,651 (187)

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

open access: yesJournal 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

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

open access: yesInternational 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

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

open access: yesAdvances 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

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

open access: yesInternational 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

Superconvergence Relations

open access: yes, 2001
For a limited number of matter fields, the discontinuity of the transverse gauge field propagator can satisfy an exact sum rule. With controlled and limited gauge dependence, this supercconvergence relation is of physical interest.
openaire   +2 more sources

Convergence and superconvergence of variational discretization for parabolic bilinear optimization problems

open access: yesJournal 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 and Duality

open access: yes, 2001
7 pages, latex, for the Encyclopedia of Supersymmetry ...
openaire   +2 more sources

Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients

open access: yesJournal of Applied Mathematics, 2013
A new multiscale finite element method is presented for solving the elliptic equations with rapidly oscillating coefficients. The proposed method is based on asymptotic analysis and careful numerical treatments for the boundary corrector terms by virtue
Xiaofei Guan   +3 more
doaj   +1 more source

The coupled method for singularly perturbed Volterra integro-differential equations

open access: yesAdvances in Difference Equations, 2019
In this work a coupled (LDG-CFEM) method for singularly perturbed Volterra integro-differential equations with a smooth kernel is implemented. The existence and uniqueness of the coupled solution is given, provided that the source function and the kernel
Xia Tao, Yinghui Zhang
doaj   +1 more source

Iterated Petrov–Galerkin Method with Regular Pairs for Solving Fredholm Integral Equations of the Second Kind

open access: yesMathematical and Computational Applications, 2018
In this work we obtain approximate solutions for Fredholm integral equations of the second kind by means of Petrov–Galerkin method, choosing “regular pairs” of subspaces, Xn,Yn, which are simply characterized by the positive definitiveness of a ...
Silvia Alejandra Seminara   +1 more
doaj   +1 more source

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