This article is cited in 15 scientific papers (total in 15 papers)
Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations
Abstract:
In this paper, a modified method of characteristics in combination with integral identities of triangular and tetrahedral linear elements is used to prove a uniform optimal-order error estimate which depends only on the initial data and right-hand side, but not on a scaling parameter $\varepsilon$, for multi-dimensional time-dependent advection-diffusion equations.
Key words:
modified method of characteristics, triangular linear element, tetrahedral linear element, integral identities, uniform error estimate.
Citation:
H. Chen, Q. Lin, V. V. Shaidurov, J. Zhou, “Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 425–442; Num. Anal. Appl., 4:4 (2011), 345–362