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A Hybrid Variational Multiscale Element-Free Galerkin Method for Convection-Diffusion Problems
International Journal of Applied Mechanics, 2019By coupling the dimension splitting method (DSM) and the variational multiscale element-free Galerkin (VMEFG) method, a hybrid variational multiscale element-free Galerkin (HVMEFG) method is developed for the two-dimensional convection-diffusion problems.
Jufeng Wang, F. Sun
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Finite Volume Methods for Convection-Diffusion Problems
SIAM Journal on Numerical Analysis, 1996Cell-centered finite difference approximations for second-order convection-diffusion equations of divergence type are considered. Approximation of the convection term in such problems by central finite differences leads to schemes of second order, which are stable only for sufficiently small mesh size \(h\). Therefore a number of modified upwind finite
Lazarov, R. D. +2 more
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Preconditioning convection dominated convection‐diffusion problems
International Journal of Numerical Methods for Heat & Fluid Flow, 1995This paper is concerned with the numerical solution of multi‐dimensional convection dominated convection‐diffusion problems. These problems are characterized by a large parameter, K, multiplying the convection terms. The goal of this work is the development and analysis of effective preconditioners for iteratively solving the large system of linear ...
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SIAM Journal on Numerical Analysis, 2018
This paper is devoted to the construction and analysis of the finite element approximations for the $H(D)$ convection-diffusion problems, where $D$ can be chosen as ${\rm grad}$, ${\rm curl}$ or ${\rm div}$ in 3D case.
Shuonan Wu, Jinchao Xu
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This paper is devoted to the construction and analysis of the finite element approximations for the $H(D)$ convection-diffusion problems, where $D$ can be chosen as ${\rm grad}$, ${\rm curl}$ or ${\rm div}$ in 3D case.
Shuonan Wu, Jinchao Xu
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AD–FDSD for convection–diffusion problems
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Restrictive Preconditioning for Convection-Diffusion Distributed Control Problems
East Asian Journal on Applied Mathematics, 2022Summary: The restrictive preconditioning technique is employed in the preconditioned conjugate gradient and preconditioned Chebyshev iteration methods for the saddle point linear systems arising in convection-diffusion control problems. Utilizing an appropriate approximation of Schur complement, one obtains preconditioned matrix with eigenvalues ...
Feng, Wei +3 more
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The Backward Problem of Stochastic Convection–Diffusion Equation
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng, Xiaoli, Zhao, Lizhi
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Steady-state convection-diffusion problems
Acta Numerica, 2005In convection-diffusion problems, transport processes dominate while diffusion effects are confined to a relatively small part of the domain. This state of affairs means that one cannot rely on the formal ellipticity of the differential operator to ensure the convergence of standard numerical algorithms.
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Applied Mathematics and Computation, 2015
This article studies the numerical solution of singularly perturbed delay parabolic convection-diffusion initial-boundary-value problems. Since the solution of these problems exhibit regular boundary layers in the spatial variable, we use the piecewise ...
Abhishek Das, S. Natesan
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This article studies the numerical solution of singularly perturbed delay parabolic convection-diffusion initial-boundary-value problems. Since the solution of these problems exhibit regular boundary layers in the spatial variable, we use the piecewise ...
Abhishek Das, S. Natesan
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Solution Decompositions for Linear Convection-Diffusion Problems
Zeitschrift für Analysis und ihre Anwendungen, 2002We consider a singularly perturbed convection-diffusion problem. The existence of certain decompositions of the solution into a regular solution component and a layer component is studied. Such decompositions are useful for the convergence analysis of numerical methods.
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