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math.NA2026
Energy dissipation and stability of a finite-volume scheme for two-phase flow models with dynamic capillary pressure
Ansgar Jüngel, Josipa-Pina Milišić, Sara Xhahysa
An implicit Euler finite-volume scheme for degenerate pseudo-parabolic cross-diffusion equations is proposed and analyzed. The system describes the dynamics of an unsaturated two-p…
math.NA2013★ 1 cited
Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations
Ansgar Jüngel, Josipa-Pina Milišić
New one-leg multistep time discretizations of nonlinear evolution equations are investigated. The main features of the scheme are the preservation of the nonnegativity and the entr…