Results 61 to 70 of about 1,675 (160)
An X‐FFT Solver for Two‐Dimensional Thermal Homogenization Problems
International Journal for Numerical Methods in Engineering, Volume 126, Issue 7, 15 April 2025.ABSTRACT We introduce an approach to computational homogenization which unites the accuracy of interface‐conforming finite elements (FEs) and the computational efficiency of methods based on the fast Fourier transform (FFT) for two‐dimensional thermal conductivity problems.
Flavia Gehrig, Matti Schneider
wiley +1 more source
Superconvergence of finite element method for the Signorini problem [PDF]
, 2007 In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of O(h32) under a proper regularity
Zhang, Shu-hua +5 more
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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
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
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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 to freely infinitely divisible distributions
, 2018 The phenomenon of superconvergence is proved for all freely infinitely divisible distributions. Precisely, suppose that the partial sums of a sequence of free identically distributed, infinitesimal random variables converge in distribution to a ...
Bercovici, Hari +2 more
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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
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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 +3 more
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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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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