106 citations · 119 across the 4 of their papers we have counts for
8 papers
Stability of a numerical scheme for methane transport in hydrate zone under equilibrium and non-equilibrium conditions
Malgorzata Peszynska, Choah Shin
In this paper we carry out numerical analysis for a family of simplified gas transport models with hydrate formation and dissociation in subsurface, in equilibrium and non-equilibr…
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…
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…
Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization
F. Patricia Medina, Malgorzata Peszynska
We consider kinetic systems and prove their stability working in weighted spaces in which the systems are symmetric. We prove stability for various explicit and implicit semi-discr…
Biofilm growth in porous media: experiments, computational modeling at the porescale, and upscaling
Malgorzata Peszynska, Anna Trykozko, Gabriel Iltis +2
Biofilm growth changes many physical properties of porous media such as porosity, permeability and mass transport parameters. The growth depends on various environmental conditions…
Domain Decomposition for Heterojunction Problems in Semiconductors
Timothy Costa, David Foster, Malgorzata Peszynska
We present a domain decomposition approach for the simulation of charge transport in heterojunction semiconductors. The problem is characterized by a large variation of primary var…
Advection of Methane in the Hydrate Zone: Model, Analysis and Examples
Malgorzata Peszynska, Ralph E. Showalter, Justin T. Webster
A two-phase two-component model is formulated for the advective-diffusive transport of methane in liquid phase through sediment with the accompanying formation and dissolution of m…
Multiscale modeling of solar cells with interface phenomena
David H. Foster, Timothy Costa, Malgorzata Peszynska +1
We describe a mathematical model for heterojunctions in semiconductors which can be used, e.g., for modeling higher efficiency solar cells. The continuum model involves well-known…