Finite volume element methods for non-definite problems. (English) Zbl 0938.65131
For the 2-D and 3-D non-definite problems error estimates are derived for finite volume element methods. It is proved that the simple upwind scheme for the solution of this problem is unconditionally stable and has first-order accuracy.
Reviewer: J.Vaníček (Praha)
MSC:
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 65N12 | Stability and convergence of numerical methods for boundary value problems involving PDEs |
