Parabolic approximations of the convection-diffusion equation [PDF]
We propose an approximation of the convection-diffusion operator which consists in the product of two parabolic operators. This approximation is much easier to solve than the full convection-diffusion equation, which is elliptic in space. We prove that this approximation is of order three in the viscosity and that the classical parabolic approximation ...
Lohéac, J. P. +2 more
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A stabilized mixed finite element method for convection-diffusion-reaction equations
In this paper, we propose a stabilized finite element for the convection-diffusion-reaction equations. This finite element combines the mixed finite element with the least-squares method.
YANG Xing-Yue +2 more
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Space–Time Radial Basis Function–Based Meshless Approach for Solving Convection–Diffusion Equations
This article proposes a space–time meshless approach based on the transient radial polynomial series function (TRPSF) for solving convection–diffusion equations.
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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A posteriori Variational Multiscale Methods for the 1D convection-diffusion equations
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the $21^{\rm st}$ century” conference held in Tours in 1997 honouring the $60^{\rm th}$ birthday of Roland Glowinski. It
Chacón Rebollo, Tomás +2 more
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Matrix-equation-based strategies for convection–diffusion equations [PDF]
We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection-diffusion partial differential equations with separable coefficients and dominant convection. Preconditioners based on the matrix equation formulation of the problem are proposed, which naturally approximate the original discretized ...
PALITTA, DAVIDE, SIMONCINI, VALERIA
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Exact Solutions for Some Partial Differential Equations by Using First Integral Method [PDF]
In this paper, some exact solutions for the convection–diffusion–reaction equation in two dimensions and a nonlinear system of partial differential equations are formally derived by using the first integral method, which are based on the theory of ...
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An inverse problem for a quasilinear convection–diffusion equation
We study the inverse problem of recovering a semilinear diffusion term $a(t,λ)$ as well as a quasilinear convection term $\mathcal B(t,x,λ,ξ)$ in a nonlinear parabolic equation $$\partial_tu-\textrm{div}(a(t,u) \nabla u)+\mathcal B(t,x,u,\nabla u)\cdot\nabla u=0, \quad \mbox{in}\ (0,T)\timesΩ,$$ given the knowledge of the flux of the moving quantity ...
Ali Feizmohammadi +2 more
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Interior Blowup in a Convection-Diffusion Equation [PDF]
The author studies the behaviour of the solutions to the heat equation with a nonlinear diffusion-convection term of the form \(\text{div }u^q(\nabla)\) in a bounded domain. In addition a nonlinear Neumann condition is imposed on the boundary. The convection term is chosen in such a way that the stationary problem admits infinitely many solutions which
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Asymptotic profiles of solutions to convection–diffusion equations [PDF]
The large time behavior of zero-mass solutions to the Cauchy problem for the convection–diffusion equation u t -
Benachour, Said +2 more
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Travelling waves in a convection–diffusion equation
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Feireisl, E. (Eduard) +2 more
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