Geodesic
Error estimates for triangular and tetrahedral finite elements in combination with a~trajectory approximation of the first derivatives for advection-diffusion equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 425-442

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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. 
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     author = {H. Chen and Q. Lin and V. V. Shaidurov and J. Zhou},
     title = {Error estimates for triangular and tetrahedral finite elements in combination with a~trajectory approximation of the first derivatives for advection-diffusion equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a6/}
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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. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 425-442. http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a6/