scholarly journals Error estimates for a nonlinear local projection stabilization of transient convection--diffusion--reaction equations

2015 ◽  
Vol 8 (5) ◽  
pp. 901-911 ◽  
Author(s):  
Petr Knobloch ◽  
Keyword(s):  
Error Estimates ◽  
Diffusion Reaction ◽  
Local Projection ◽  
Convection Diffusion ◽  
Local Projection Stabilization ◽  
Reaction Equations

A priori error estimates for finite element approximations to transient convection-diffusion-reaction equations in fluidized beds

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
V. Dhanya Varma ◽  
Suresh Kumar Nadupuri
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Fluidized Beds ◽  
A Priori ◽  
Coupled System ◽  
Diffusion Reaction ◽  
Strongly Coupled ◽  
Convection Diffusion ◽  
Finite Element Approximations ◽  
Reaction Equations

Abstract In this work, a priori error estimates for finite element approximations to the governing equations of heat and mass transfer in fluidized beds are derived. These equations are time dependent strongly coupled system of five semilinear convection-diffusion-reaction equations. The a priori error estimates for all the five variables are obtained for the error measured in L ∞(L 2) and L 2 ( E ) ${L}^{2}\left(\mathcal{E}\right)$ , E $\mathcal{E}$ is the energy norm.

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