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math.NA2020
Approximation of Hysteresis Functional
Malgorzata Peszynska, Ralph E. Showalter
We develop a practical discrete model of hysteresis based on nonlinear play and generalized play, for use in first-order conservation laws with applications to adsorption-desorptio…
math.NA2020★ 4 cited
Numerical Analysis of a Parabolic Variational Inequality System Modeling Biofilm Growth at the Porescale
Azhar Alhammali, Malgorzata Peszynska
In this paper we consider a system of two coupled nonlinear diffusion--reaction partial differential equations (PDEs) which model the growth of biofilm and consumption of the nutri…