A new high order FV method is presented for the solution of convection±diusion equations, based on a 4-point approximation of the diusive term and on the de®nition of a quadratic pro®le for the approximation of the convective term, in which coecients are obtained by imposing conditions on the trunca
The stability and convergence of the finite analytic method for the numerical solution of convective diffusion equation
✍ Scribed by Sun Yu-ping; Wu Jiang-hang
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 356 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we analyze convergence of basic iterative Jacobi and Gauss-Seidel type methods for solving linear systems which result from finite element or finite volume discretization of convection-diffusion equations on unstructured meshes. In general the resulting stiffness matrices are neither M
Stability problems related to some finite-difference representations of the one-dimensional convection-diffusion equation are investigated. Numerical experiments are performed to test the applicability of the restrictive conditions of linear stability as well as to test the effect of an additional b
## a b s t r a c t We consider implicit and semi-implicit time-stepping methods for finite element approximations of singularly perturbed parabolic problems or hyperbolic problems. We are interested in problems where the advection dominates and stability is obtained using a symmetric, weakly consis
The CGM is studied for nonsymmetric elliptic problems with both Dirichlet and mixed boundary conditions. The mesh independence of the convergence is an important property when symmetric part preconditioning is applied to the FEM discretizations of the boundary value problem. Computations in two dime