3 papers
math.NA2026
Adaptive Finite Elements with Algebraic Stabilization for Convection-Dominated Transport
Naveed Ahmed, Abhinav Jha
We present a numerical investigation of residual-based a posteriori error estimation for finite element discretizations of convection--diffusion equations stabilized by algebraic f…
math.NA2024
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations
Petr Knobloch, Dmitri Kuzmin, Abhinav Jha
We address the numerical treatment of source terms in algebraic flux correction schemes for steady convection-diffusion-reaction (CDR) equations. The proposed algorithm constrains…
math.AP2024
Trace estimates for harmonic functions along circular arcs with applications to domain decomposition on overlapping disks
Thiago Carvalho Corso, Muhammad Hassan, Abhinav Jha +1
In this paper we derive several (and in many cases sharp) estimates for the -trace norm of harmonic functions along circular arcs. More precisely, we obtain geometry-…