Analysis of linear triangular elements for convection-diffusion problems by streamline diffusion finite element methods. (English) Zbl 1141.65392
Summary: This paper is devoted to studying the superconvergence of streamline diffusion finite element methods for convection-diffusion problems. In G. H. Zhou and R. Rannacher [Math. Comput. 66, No. 217, 31–44 (1997; Zbl 0854.65094)], under the condition that \(\varepsilon \leq h^2\) the optimal finite element error estimate was obtained in \(L^2\)-norm. In the present paper, however, the same error estimate result is gained under the weaker condition that \(\varepsilon \leq h\).
MSC:
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 62P35 | Applications of statistics to physics |
| 62H20 | Measures of association (correlation, canonical correlation, etc.) |
