A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection-diffusion equations. (English) Zbl 1112.65109
The non-conforming finite element method for an advection-diffusion-reaction equation is analyzed. The face penalty technique is used. A priori and a posteriori error estimates are proved.
Reviewer: Isaac Yevzerov (Kyïv)
MSC:
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 35J25 | Boundary value problems for second-order elliptic equations |
