Antony Oliver, Mary ChriseldaGonzález Taboada, María2024-07-042024-07-042023-12-01M. C. Antony Oliver, and M. González, "Adaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problems", Finite Elements in Analysis and Design, Vol. 227, 1 December 2023, 104045, doi: 10.1016/j.finel.2023.1040450168-874Xhttp://hdl.handle.net/2183/37706[Abstract]: We consider a stationary convection–diffusion–reaction model problem in a two- or three-dimensional bounded domain. We approximate this model by a non-stationary problem and propose a numerical method that combines the method of characteristics with an augmented mixed finite element procedure. We show that this scheme has a unique solution. We also derive a residual-based a posteriori error indicator and prove it is reliable and locally efficient. Finally, we provide some numerical experiments that illustrate the performance of the adaptive algorithm.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Convection–diffusion–reactionDominant convectionMethod of characteristicsMixed finite elementResidual a posteriori estimatesjournal articleopen access10.1016/j.finel.2023.104045