FDM-FEM operator-splitting method with high order accuracy for convection-diffusion equation. (Chinese. English summary) Zbl 0898.65053
Summary: A finite difference (FD) – finite element (FE) operator splitting method with higher-order accuracy for 2D unsteady convection-diffusion equations is developed which combines the quadratic upstream interpolation scheme with the finite element method with nine point isoparameter elements.
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 35K15 | Initial value problems for second-order parabolic equations |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 65M15 | Error bounds for initial value and initial-boundary value problems involving PDEs |
