46 citations · 104 across the 6 of their papers we have counts for
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Numerical time integration of lumped parameter systems governed by implicit constitutive relations
Saeid Karimi
Time-integration for lumped parameter systems obeying implicit Bingham-Kelvin constitutive models is studied. The governing system of equations describing the lumped parameter syst…
Do current lattice Boltzmann methods for diffusion and diffusion-type equations respect maximum principles and the non-negative constraint?
S. Karimi, K. B. Nakshatrala
The lattice Boltzmann method (LBM) has established itself as a valid numerical method in computational fluid dynamics. Recently, multiple-relaxation-time LBM has been proposed to s…
A monolithic multi-time-step computational framework for first-order transient systems with disparate scales
S. Karimi, K. B. Nakshatrala
Developing robust simulation tools for problems involving multiple mathematical scales has been a subject of great interest in computational mathematics and engineering. A desirabl…
On multi-time-step monolithic coupling algorithms for elastodynamics
S. Karimi, K. B. Nakshatrala
We present a way of constructing multi-time-step monolithic coupling methods for elastodynamics. The governing equations for constrained multiple subdomains are written in dual Sch…