Adaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problems
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Adaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problemsDate
2023-12-01Citation
M. 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.2023.104045
Abstract
[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.
Keywords
Convection–diffusion–reaction
Dominant convection
Method of characteristics
Mixed finite element
Residual a posteriori estimates
Dominant convection
Method of characteristics
Mixed finite element
Residual a posteriori estimates
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Atribución-NoComercial-SinDerivadas 3.0 España
ISSN
0168-874X