2 papers
math-ph2025
A gradient-enhanced approach for stable finite element approximations of reaction-convection-diffusion problems
Soheil Firooz, B. Daya Reddy, Paul Steinmann
We develop a micromorphic-based approach for finite element stabilization of reaction-convection-diffusion equations, by gradient enhancement of the field of interest via introduci…
math.NA2025
A micromorphic-based artificial diffusion method for stabilized finite element approximation of convection-diffusion problems
Soheil Firooz, B. Daya Reddy, Paul Steinmann
We present a novel artificial diffusion method to circumvent the instabilities associated with the standard finite element approximation of convection-diffusion equations. Motivate…