Results 31 to 40 of about 400,777 (180)
On a Novel Numerical Scheme for Riesz Fractional Partial Differential Equations
Mathematics, 2021 In this paper, we consider numerical solutions for Riesz space fractional partial differential equations with a second order time derivative. We propose a Galerkin finite element scheme for both the temporal and spatial discretizations.
Junjiang Lai, Hongyu Liu
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Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models [PDF]
, 2010 We provide a priori error estimates for the spectral and pseudospectral Fourier (also called planewave) discretizations of the periodic Thomas-Fermi-von Weizs\"{a}cker (TFW) model and for the spectral discretization of the Kohn-Sham model, within the ...
Cancès, Eric +2 more
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Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity [PDF]
, 2015 An integro-differential equation, modeling dynamic fractional order viscoelasticity, with a Mittag-Leffler type convolution kernel is considered.
Larsson, Stig +2 more
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Space-time adaptive finite elements for nonlocal parabolic variational inequalities [PDF]
, 2019 This article considers the error analysis of finite element discretizations and adaptive mesh refinement procedures for nonlocal dynamic contact and friction, both in the domain and on the boundary. For a large class of parabolic variational inequalities
Gimperlein, Heiko, Stocek, Jakub
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Oil & Gas Science and Technology, 2019 We consider a poro-elastic region embedded into an elastic non-porous region. The elastic displacement equations are discretized by a continuous Galerkin scheme, while the flow equations for the pressure in the poro-elastic medium are discretized by ...
Girault Vivette +3 more
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Finite element approximation of non-Fickian polymer diffusion [PDF]
, 2009 The problem of nonlinear non-Fickian polymer diffusion as modelled by a diffusion equation with an adjoined spatially local evolution equation for a viscoelastic stress is considered (see, for example, Cohen, White & Witelski, SIAM J. Appl. Math.
Bauermeister, N, Shaw, S
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Journal of Function Spaces, 2023 In this paper, with classic Legendre polynomials, a method of particular solutions (MPS, for short) is proposed to solve a kind of second-order differential equations with a variable coefficient on a unit interval.
Huantian Xie +3 more
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Results in Applied Mathematics, 2023 In this paper, we consider a two-layer Crank–Nicolson scheme combined with linear finite element approximation for second-order hyperbolic optimal control problems with control constraints.
Xiaowu Li, Yuelong Tang
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2011 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Bartels, Sören +2 more
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A Priori Error Estimates for Approximation of Parabolic Boundary Value Problems [PDF]
SIAM Journal on Numerical Analysis, 1975 The L2-error estimates are established for the continuous time Faedo-Galerkin approximation to solutions of a linear parabolic initial boundary value problem that has elliptic part of order 2m. Properties of analytic semigroups are used to obtain these estimates directly from the LZ-estimates for the corresponding steady state elliptic problem under ...
openaire +2 more sources