A STABILIZING SUBGRID FOR CONVECTION–DIFFUSION PROBLEM [PDF]
Mathematical Models and Methods in Applied Sciences, 2006 A stabilizing subgrid which consists of a single additional node in each triangular element is analyzed by solving the convection–diffusion problem, especially in the case of small diffusion. The choice of the location of the subgrid node is based on minimizing the residual of a local problem inside each element. We study convergence properties of the
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The Dual Characteristic-Galerkin Method
Comptes Rendus. MathématiqueThe Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
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Convergence of Convective–Diffusive Lattice Boltzmann Methods
SIAM Journal on Numerical Analysis, 1995 Lattice Boltzmann methods are numerical schemes derived as a kinetic approximation of an underlying lattice gas. A numerical convergence theory for nonlinear convective-diffusive lattice Boltzmann methods is established. Convergence, consistency, and stability are defined through truncated Hilbert expansions.
Elton, Bracy H. +2 more
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NUMERICAL ANALYSIS OF AN INVERSE PROBLEM ORIGINATED IN PHENOMENON OF POLLUTION AIR URBAN
Selecciones Matemáticas, 2016 This paper presents the calibration study of a two - dimensional mathematical model for the problem of urban air pollution. It is mainly assumed that air pollution is afected by wind convection, diffusion and chemical reactions of pollutants ...
Aníbal Coronel, Ian Hess
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Multiscale Stochastic Homogenization of Convection-Diffusion Equations [PDF]
Applications of Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation
Advances in Mathematical Physics, 2013 A weighted average finite difference method for solving the two-sided space-fractional convection-diffusion equation is given, which is an extension of the weighted average method for ordinary convection-diffusion equations.
Lijuan Su, Pei Cheng
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Topology Optimization of Passive Micromixers Based on Lagrangian Mapping Method
Micromachines, 2018 This paper presents an optimization-based design method of passive micromixers for immiscible fluids, which means that the Peclet number infinitely large.
Yuchen Guo +3 more
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Quantitative Study of Non-Linear Convection Diffusion Equations for a Rotating-Disc Electrode. [PDF]
Entropy (Basel), 2023 Alshammari FS +4 more
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Convection–diffusion equations with random initial conditions [PDF]
Journal of Mathematical Analysis and Applications, 2019 We consider an evolution equation generalising the viscous Burgers equation supplemented by an initial condition which is a homogeneous random field. We develop a non-linear framework enabling us to show the existence and regularity of solutions as well as their long time behaviour.
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Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]
BMC Res Notes, 2023 Negero NT.
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