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An anisotropic functional setting for convection-diffusion problems
Journal of Numerical Mathematics, 2001Consistently stabilized discrete approximations for the convection-diffusion problems are investigated. The aim of the presented new functional framework is the evaluation of the residuals in an inner product of the type \(H^{1/2}\) and the realization of this inner product via explicitely computable decomposition of functional spaces.
CANUTO, CLAUDIO, TABACCO, Anita Maria
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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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On a convection–diffusion problem with a weak layer
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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AD–FDSD for convection–diffusion problems
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modified exponential schemes for convection–diffusion problems
Communications in Nonlinear Science and Numerical Simulation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, C. +3 more
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Alternating triangular schemes for convection–diffusion problems
Computational Mathematics and Mathematical Physics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vabishchevich, P. N., Zakharov, P. E.
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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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Hybrid Cbsqi-Weno Schemes for Convection Diffusion Problems
International Journal for Numerical Methods in Fluids, 2023ABSTRACTThe B‐spline Quasi‐Interpolation (BSQI) based numerical scheme is a successful method for obtaining the solution to partial differential equations under sufficient regularity conditions. However, it can lead to instability and spurious oscillations in the numerical solution when high gradients or discontinuities are present.
Barik, Prasanta Kumar +3 more
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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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