| Abstract: | In 16], Stynes and O'Riordan(91) introduced a local exponentially fitted finiteelement (FE) scheme for a singularly perturbed two-point boundary value problemwithout turning-point. An s-uniform h1/2-order accuracy was obtain for the Eweighted energy norm. And this uniform order is known as an. optimal one forglobal exponentially fitted FE schemes (see 6, 7, 2]).In present paper, this scheme is used to a parabolic singularly perturbed problem. After some subtle analysis, a uniformly in E convergent order hi in h1/2 Tis achieved (h is the space step and T is the time step), which sharpens the resultsin present literature. Furthermore, it implies that the accuracy order in 16] isactualled hn h1/2 rather than h1/2. |
