Results 141 to 150 of about 116,557 (189)
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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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DGM for Convection-Diffusion Problems
2015The next Chaps. 4– 6 will be devoted to the DGM for the solution of nonstationary, in general nonlinear, convection-diffusion initial-boundary value problems. Some equations treated here can serve as a simplified model of the Navier–Stokes system describing compressible flow, but the subject of convection-diffusion problems is important for a number of
Vít Dolejší, Miloslav Feistauer
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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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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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A convection–diffusion problem in a network
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2009
This chapter is devoted to numerical methods for the convection-diffusion problem $$- \varepsilon \Delta u - b\nabla u + cu = f\;in\;\Omega = (0,1)^2 ,\;u|_{\partial \Omega } = 0,$$ (9.1) with b1 ≥ β1 > 0, b2 ≥ β2 > 0 on [0,1]2, i.e., problems with regular boundary layers at the outflow boundary x = 0 and y = 0.
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This chapter is devoted to numerical methods for the convection-diffusion problem $$- \varepsilon \Delta u - b\nabla u + cu = f\;in\;\Omega = (0,1)^2 ,\;u|_{\partial \Omega } = 0,$$ (9.1) with b1 ≥ β1 > 0, b2 ≥ β2 > 0 on [0,1]2, i.e., problems with regular boundary layers at the outflow boundary x = 0 and y = 0.
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Schwarz Methods for Convection-Diffusion Problems
2001Various variants of Schwarz methods for a singularly perturbed two dimensional stationary convection-diffusion problem are constructed and analysed. The iteration counts, the errors in the discrete solutions and the convergence behaviour of the numerical solutions are analysed in terms of their dependence on the singular perturbation parameter of the ...
H. MacMullen +2 more
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Solution of discrete convection–diffusion problems
2014AbstractThis chapter concerns iterative methods for solution of discrete convection–diffusion equations. It discusses Krylov subspace methods, principally the generalized minimum residual method, together with preconditioning strategies and multigrid methods, including convergence analysis of these methods.
A. M. Stuart, E. Söli
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Nonlocal convection–diffusion problems and finite element approximations
Computer Methods in Applied Mechanics and Engineering, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Hao, Ju, Lili, Du, Qiang
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Downwind numbering: robust multigrid for convection-diffusion problems
Applied Numerical Mathematics, 1997The authors introduce and investigate a robust smoothing strategy for convection-diffusion problems in two and three dimensions without any assumption on the grid structure. An ordering strategy for the grid points which follows the flow direction is combined with a Gauss-Seidel type smoother.
Bey, Jürgen, Wittum, Gabriel
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