Abstract

In this work we develop an a-posteriori error estimation for the finite element simulation of an advection-diffusion problem with anisotropic meshes. The error analysis is carried out by exploiting some recent interpolation error estimates for anisotropic meshes [7, 8] within the a-posteriori analysis framework proposed in [2, 3, 4, 16]. The target application is the transport of a solute (like oxygen or lipids) by the blood stream in a large artery.

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