An assessment of discretizations for convection-dominated convection-diffusion equations [PDF]
, 2011 The performance of several numerical schemes for discretizing convection-dominated convection-diffusion equations will be investigated with respect to accuracy and efficiency. Accuracy is considered in measures which are of interest in applications.
Matthias Augustin +13 more
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Matrix-equation-based strategies for convection–diffusion equations [PDF]
BIT Numerical Mathematics, 2015 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]
المجلة العراقية للعلوم الاحصائية, 2011 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 ...
doaj +1 more source
Interior Blowup in a Convection-Diffusion Equation [PDF]
SIAM Journal on Mathematical Analysis, 1998 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]
Comptes Rendus. Mathématique, 2004 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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An inverse problem for a quasilinear convection–diffusion equation
Nonlinear Analysis, 2022 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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A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations [PDF]
, 2018 Recent results on the numerical analysis of Algebraic Flux Correction (AFC) finite element schemes for scalar convection-diffusion equations are reviewed and presented in a unified way.
Rankin, Richard +7 more
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Travelling waves in a convection–diffusion equation
Journal of Differential Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feireisl, E. (Eduard) +2 more
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Fujita type theorem for a class of coupled quasilinear convection–diffusion equations
Boundary Value Problems, 2021 In this paper, we establish the Fujita type theorem for a homogeneous Neumann outer problem of the coupled quasilinear convection–diffusion equations and formulate the critical Fujita exponent. Besides, the influence of diffusion term, reaction term, and
Yanan Zhou, Yan Leng, Yuanyuan Nie
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Convergence of the Generalized Volume Averaging Method on a Convection-Diffusion Problem: A Spectral Perspective [PDF]
, 2005 A mixed formulation is proposed and analyzed mathematically for coupled convection-diffusion in heterogeneous medias. Transfer in solid parts driven by pure diffusion is coupled with convection-diffusion transfer in fluid parts.
Plouraboué, Franck +2 more
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