Results 251 to 260 of about 216,818 (306)

On the choice of a stabilizing subgrid for convection–diffusion problems

Computer Methods in Applied Mechanics and Engineering, 2005
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Brezzi F, Marini LD, Russo A
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An inverse source problem for the convection‐diffusion equation

International Journal of Numerical Methods for Heat & Fluid Flow, 2006
PurposeTo develop a numerical technique for solving the inverse source problem associated with the constant coefficients convection‐diffusion equation.Design/methodology/approachThe proposed numerical technique is based on the boundary element method (BEM) combined with an iterative sequential quadratic programming (SQP) procedure.
Rap, A., Elliott, L., Ingham, D. B., Lesnic, D., Wen, X.   +4 more
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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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Solution Decompositions for Linear Convection-Diffusion Problems

Zeitschrift für Analysis und ihre Anwendungen, 2002
We 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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Finite Volume Methods for Convection-Diffusion Problems

SIAM Journal on Numerical Analysis, 1996
Cell-centered finite difference approximations for second-order convection-diffusion equations of divergence type are considered. Approximation of the convection term in such problems by central finite differences leads to schemes of second order, which are stable only for sufficiently small mesh size \(h\). Therefore a number of modified upwind finite
Lazarov, R. D., Mishev, Ilya D., Vassilevski, P. S.   +2 more
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Preconditioning convection dominated convection‐diffusion problems

International Journal of Numerical Methods for Heat & Fluid Flow, 1995
This paper is concerned with the numerical solution of multi‐dimensional convection dominated convection‐diffusion problems. These problems are characterized by a large parameter, K, multiplying the convection terms. The goal of this work is the development and analysis of effective preconditioners for iteratively solving the large system of linear ...
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The sdfem on Shishkin meshes for linear convection-diffusion problems

Numerische Mathematik, 2001
The authors consider a modified streamline diffusion finite element method (SDFEM) in order to resolve the boundary layer in some 2D singularly perturbed linear elliptic problems. They use piecewise linear functions on highly nonuniform Shishkin meshes.
Torsten Linß, Martin Stynes
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hp-DGFEM for nonlinear convection-diffusion problems

Mathematics and Computers in Simulation, 2013
Abstract We deal with a numerical solution of nonlinear convection-diffusion problems with the aid of the discontinuous Galerkin finite element method (DGFEM). We propose a new hp-adaptation technique, which is based on a combination of a residuum-nonconformity estimator and a regularity indicator. The residuum-nonconformity estimator consists of two
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On a Problem of Optimal Control of Convection-Diffusion Processes

2018
We study questions of the difference approximation of optimal control problems (OCPs) described by the Dirichlet problem for semilinear elliptic equations with non-self-adjoint operators and an imperfect contact matching condition. The coefficients of the convective transport of a state equation and in the matching boundary condition are used as a ...
Aigul Manapova, Fedor Lubyshev
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A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms

Computers and Mathematics with Applications, 2023
Ram Shiromani, V. Shanthi, P. Das
semanticscholar   +1 more source