Results 151 to 160 of about 116,557 (189)

An anisotropic functional setting for convection-diffusion problems

Journal of Numerical Mathematics, 2001
Consistently 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

2005
Abstract 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, David J Silvester, Andrew J Wathen   +2 more
openaire   +1 more source

A Stabilized Galerkin Method for Convection-Diffusion Problems

SIAM Journal on Scientific and Statistical Computing, 1989
The 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.
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Nitsche-mortaring for singularly perturbed convection–diffusion problems

Advances in Computational Mathematics, 2011
A 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, Roos, Hans-Görg, Schopf, Martin   +2 more
openaire   +2 more sources

Finite Volume Method—Convection-Diffusion Problems

2017
This chapter is an extension of the previous one on diffusion-convection. The treatment is again using one dimensional finite volume method and closed form solutions.
openaire   +1 more source

Modelling Methodologies for Convection-Diffusion Phase-Change Problems

2004
In recent years numerical simulation of phase-change problems have attracted much interest due to their significance for several technological process. Melting and solidification are typical examples of phase change met in the metallurgical industries or crystal growth technology. These processes involve complex phenomena of mass and heat transfer that
STELLA, Fulvio, GIANGI, Marilena
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Spectral element approximation of convection–diffusion type problems

Applied Numerical Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discretisations of Reaction-Convection-Diffusion Problems

2009
This chapter is concerned with discretisations of the stationary linear reaction- 4 convection-diffusion problem $$ - \varepsilon _d u^ - \varepsilon _c bu + cu = f\text{ in (0,1), }u(0) = \gamma _0 ,u(1) = \gamma _1 ,$$ with b ≥ 1 and c ≥ 1 on [0, 1].
openaire   +1 more source

Schwarz alternating algorithms for a convection–diffusion problem

Applied Mathematics and Computation, 2005
The author develops an upwind difference scheme for a convection diffusion problem using piecewise equidistant meshes which exhibit uniform convergence in the perturbation parameter. An estimation of convergence and a decomposition algorithm on overlapping subdomains are discussed and developed. A number of numerical experiments is also presented.
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ENO Schemes for Convection-Diffusion Problems

1997
In the paper an investigation of high-order accuracy ENO schemes is presented. Such schemes allow a high-order spatial discretization by means of a piece-wise polynomial interpolation of the numerical solution; ENO reconstruction, based on adaptive stencils, avoids Gibb-like phenomena near discontinuities of the solution, and lead to a scheme well ...
Broglia, RiccardoFavini, Bernardo
openaire   +2 more sources