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 problemsFecha
2023-12-01Cita bibliográfica
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
Resumen
[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.
Palabras clave
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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Derechos
Atribución-NoComercial-SinDerivadas 3.0 España
ISSN
0168-874X