Abstract An a priori analysis for generalized local projection stabilized finite element approximations the solution of an advection–reaction equation is presented in this article. The stability and error estimates are derived conforming, nonconforming (Crouzeix–Raviart) streamline derivative norm. Finally, validation proposed stabilization scheme verification with appropriate numerical experim...

We consider the homogenisation of a coupled reaction–diffusion process in porous medium with evolving microstructure. A concentration-dependent reaction rate at interface pores solid matrix induces evolution domain. Hence, is fully process. In order to pass limit, we employ two-scale-transformation method. Thus, homogenise highly non-linear problem periodic and time cylindrical domain instead. ...