Results 31 to 40 of about 1,675 (160)
Adaptive variational discretization approximation method for parabolic optimal control problems
Journal of Inequalities and Applications, 2020 In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme.
Yuelong Tang, Yuchun Hua
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A posteriori error estimates based on superconvergence of FEM for fractional evolution equations
Open Mathematics, 2021 In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The
Tang Yuelong, Hua Yuchun
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Fractal and Fractional, 2021 We consider general linear multi-term Caputo fractional integro-differential equations with weakly singular kernels subject to local or non-local boundary conditions.
Arvet Pedas, Mikk Vikerpuur
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Superconvergence of the composite Simpson’s rule for a certain finite-part integral and its applications [PDF]
, 2009 The superconvergence phenomenon of the composite Simpson’s rule for the finite-part integral with a third-order singularity is studied. The superconvergence points are located and the superconvergence estimate is obtained.
Zhang, Xiaoping, Yu, Dehao, Wu, Jiming
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High-Order Energy and Linear Momentum Conserving Methods for the Klein-Gordon Equation
Mathematics, 2018 The Klein-Gordon equation is a model for free particle wave function in relativistic quantum mechanics. Many numerical methods have been proposed to solve the Klein-Gordon equation. However, efficient high-order numerical methods that preserve energy and
He Yang
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Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
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Superconvergence of new mixed finite element spaces [PDF]
, 2011 In this paper we prove some superconvergence of a new family of mixed finite element spaces of higher order which we introduced in [ETNA, Vol. 37, pp. 189–201, 2010].
Kwak, Do Young +3 more
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Linear/linear rational spline interpolation
Mathematical Modelling and Analysis, 2010 For a strictly monotone function y on [a, b] we describe the construction of an interpolating linear/linear rational spline S of smoothness class C 1. We show that for the linear/linear rational splines we obtain ¦S(xi ) − y(xi )¦8 = O(h 4) on uniform ...
Erge Ideon, Peeter Oja
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A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D
International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
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The gradient superconvergence of the finite volume method for a nonlinear elliptic problem of nonmonotone type [PDF]
, 2015 summary:We study the superconvergence of the finite volume method for a nonlinear elliptic problem using linear trial functions. Under the condition of $C$-uniform meshes, we first establish a superclose weak estimate for the bilinear form of the finite ...
Zhang, Shuhua, Zhang, Tie
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