Error estimates of finite volume method for Stokes optimal control problem
Journal of Inequalities and Applications, 2021 In this paper, we discuss a priori error estimates for the finite volume element approximation of optimal control problem governed by Stokes equations. Under some reasonable assumptions, we obtain optimal L 2 $L^{2}$ -norm error estimates.
Lin Lan +4 more
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Robust error estimates in weak norms for advection dominated transport problems with rough data [PDF]
, 2014 We consider mixing problems in the form of transient convection--diffusion equations with a velocity vector field with multiscale character and rough data.
Burman, Erik
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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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A priori error estimation for the stochastic perturbation method
Computer Methods in Applied Mechanics and Engineering, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiang-Yu Wang +3 more
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A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems
Journal of Applied Mathematics, 2013 A novel characteristic expanded mixed finite element method is proposed and analyzed for reaction-convection-diffusion problems. The diffusion term ∇·(a(x,t)∇u) is discretized by the novel expanded mixed method, whose gradient belongs to the square ...
Yang Liu +4 more
doaj +1 more source
Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation
Advances in Difference Equations, 2018 We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2 $\mathbb{R}^{2}$. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (
Dojin Kim
doaj +1 more source
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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Numerical analysis of a relaxed variational model of hysteresis in two-phase solids [PDF]
, 2001 This paper presents the numerical analysis for a variational formulation of rate-independent phase transformations in elastic solids due to Mielke et al.
Ball +11 more
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A New Expanded Mixed Element Method for Convection-Dominated Sobolev Equation
The Scientific World Journal, 2014 We propose and analyze a new expanded mixed element method, whose gradient belongs to the simple square integrable space instead of the classical H(div; Ω) space of Chen’s expanded mixed element method.
Jinfeng Wang +3 more
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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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