Results 71 to 80 of about 4,651 (187)

Convergence of Damped Polarization Schemes for the FFT‐Based Computational Homogenization of Inelastic Media With Pores

International Journal for Numerical Methods in Engineering, Volume 126, Issue 3, 15 February 2025.
ABSTRACT Porous microstructures represent a challenge for the convergence of FFT‐based computational homogenization methods. In this contribution, we show that the damped Eyre–Milton iteration is linearly convergent for a class of nonlinear composites with a regular set of pores, provided the damping factor is chosen between zero and unity.
Elodie Donval, Matti Schneider
wiley   +1 more source

Superconvergence of Mixed Finite Element Method with Bernstein Polynomials for Stokes Problem

Axioms
In this paper, we employ interpolation and projection methodologies to establish a superconvergence outcome for the Stokes problem, as approximated by the mixed finite element method (FEM) utilizing Bernstein polynomial basis functions.
Lanyin Sun, Siya Wen, Ziwei Dong
doaj   +1 more source

An improved finite element approximation and superconvergence for temperature control problems

Mathematical Modelling and Analysis, 2013
In this paper, we consider an improved finite element approximation for temperature control problems, where the state and the adjoint state are discretized by piecewise linear functions while the control is not discretized directly.
Yuelong Tang
doaj   +1 more source

Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity

Advances in Difference Equations, 2020
In this work, a time-fractional diffusion problem with a time-space dependent diffusivity is considered. The solution of such a problem has a weak singularity at the initial time t = 0 $t=0$ .
Na An
doaj   +1 more source

A Class of Higher‐Order Collocation Scheme for the Integral Equation of the Convolution Type

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Auto convolution Volterra integral equations (ACVIEs) are the particular form of non‐standard integral equations arising in mathematical modeling processes and the computation of certain functions. In this paper, a novel class of multistep collocation methods (NM‐SCMs) is constructed in order to find a higher‐order method is constructed for the ...
M. Alsahlanee, P. Darania, S. Pishbin, Xian-Ming Gu   +3 more
wiley   +1 more source

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

On the light-ray algebra in conformal field theories

Journal of High Energy Physics, 2022
We analyze the commutation relations of light-ray operators in conformal field theories. We first establish the algebra of light-ray operators built out of higher spin currents in free CFTs and find explicit expressions for the corresponding structure ...
Gregory P. Korchemsky, Alexander Zhiboedov   +1 more
doaj   +1 more source

FFT‐based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid

International Journal for Numerical Methods in Engineering, Volume 125, Issue 21, 15 November 2024.
Abstract Imposing nonperiodic boundary conditions for unit cell analyses may be necessary for a number of reasons in applications, for example, for validation purposes and specific computational setups. The work at hand discusses a strategy for utilizing the powerful technology behind fast Fourier transform (FFT)‐based computational micromechanics ...
Lennart Risthaus, Matti Schneider
wiley   +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

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