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math.NA2025
A variational multiscale approach to goal-oriented error estimation in finite element analysis of convection-diffusion-reaction equation problems
Sheraz Ahmed Khan, Ramon Codina, Hauke Gravenkamp
This paper presents a goal-oriented a posteriori error estimation framework for linear functionals in the stabilized finite element discretization of the stationary convection-diff…
math.NA2025
A posteriori error estimates for the finite element approximation of the convection-diffusion-reaction equation based on the variational multiscale concept
Ramon Codina, Hauke Gravenkamp, Sheraz Ahmed Khan
In this study, we employ the variational multiscale (VMS) concept to develop a posteriori error estimates for the stationary convection-diffusion-reaction equation. The variational…