Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates
Computational Methods in Applied Mathematics, 2022 Abstract In their article “Coupling at a distance HDG and BEM”, Cockburn, Sayas and Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) and the boundary element method (BEM) to solve an exterior Dirichlet problem.
Nestor Sánchez +2 more
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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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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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Error estimates of variational discretization for semilinear parabolic optimal control problems
AIMS Mathematics, 2021 In this paper, variational discretization directed against the optimal control problem governed by nonlinear parabolic equations with control constraints is studied.
Chunjuan Hou +3 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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Mathematics, 2023 This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of Hadamard.
Xianli Lv, Xiufang Feng
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Finite Element Convergence for the Joule Heating Problem with Mixed Boundary Conditions [PDF]
, 2012 We prove strong convergence of conforming finite element approximations to the stationary Joule heating problem with mixed boundary conditions on Lipschitz domains in three spatial dimensions.
A. Johnsson +35 more
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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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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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