44 citations · 170 across the 12 of their papers we have counts for
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math.NA2021★ 15 cited
Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation
Rafael Bailo, José A. Carrillo, Jingwei Hu
We propose finite-volume schemes for general continuity equations which preserve positivity and global bounds that arise from saturation effects in the mobility function. In the ca…
math.NA2021★ 3 cited
Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures
Rafael Bailo, Thomas Rey
We propose fully explicit projective integration and telescopic projective integration schemes for the multispecies Boltzmann and Bhatnagar-Gross-Krook (BGK) equations. The methods…
math.NA2021★ 18 cited
Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation
Rafael Bailo, José A. Carrillo, Serafim Kalliadasis +1
We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free ene…