Results 271 to 280 of about 305,582 (332)
Some of the next articles are maybe not open access.
A convection–diffusion problem in a network
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
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.
openaire +1 more source
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.
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
Engineering analysis with boundary elements, 2019
This paper describes a new formulation of the radial integration boundary element method (RIBEM) for two-dimensional non-homogeneous convection–diffusion–reaction problems with variable source terms.
Salam Adel Al-Bayati, L. Wrobel
semanticscholar +1 more source
This paper describes a new formulation of the radial integration boundary element method (RIBEM) for two-dimensional non-homogeneous convection–diffusion–reaction problems with variable source terms.
Salam Adel Al-Bayati, L. Wrobel
semanticscholar +1 more source
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
openaire +1 more source
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
openaire +3 more sources
Solution of Discrete Convection-Diffusion Problems
2005Abstract As shown in Chapter 3, the coefficient matrix arising from discretization of the convection-diffusion equation is nonsymmetric. To develop iterative solution algorithms for these problems, as well as those arising in other settings such as the Navier-Stokes equations, the algorithms discussed in Chapter 2 must be adapted to ...
Howard C Elman +2 more
openaire +1 more source
A Stabilized Galerkin Method for Convection-Diffusion Problems
SIAM Journal on Scientific and Statistical Computing, 1989The authors describe a new finite element method for the solution of convection-dominated diffusion equations. In detail they study the case of bilinear elements on rectangles. Because of the well-known instability of symmetric finite elements on an equidistant mesh they suggest to extend the space of test functions by local biparabolic functions in ...
de Groen, P. P., van Veldhuizen, M.
openaire +2 more sources
Nitsche-mortaring for singularly perturbed convection–diffusion problems
Advances in Computational Mathematics, 2011A finite element method for a singularly perturbed convection-diffusion problem with exponential boundary layers is analysed. Using a mortaring technique, the authors combine an anisotropic triangulation of the layer region with a shape regular one of the remainder of the domain.
Linß, Torsten +2 more
openaire +2 more sources