60 citations · 72 across the 10 of their papers we have counts for
10 papers
A Study of the Numerical Stability of an ImEx Scheme with Application to the Poisson-Nernst-Planck Equations
M. C. Pugh, D. Yan, F. P. Dawson
The Poisson-Nernst-Planck equations with generalized Frumkin-Butler-Volmer boundary conditions (PNP-FBV) describe ion transport with Faradaic reactions and have applications in a w…
Stabilization of the Lattice Boltzmann Method Using Information Theory
Tyler L Wilson, Mary Pugh, Francis Dawson
A novel Lattice Boltzmann method is derived using the Principle of Minimum Cross Entropy (MinxEnt) via the minimization of Kullback-Leibler Divergence (KLD). By carrying out the ac…
Adaptive Time-stepping Schemes for the Solution of the Poisson-Nernst-Planck Equations
David Yan, M. C. Pugh, F. P. Dawson
The Poisson-Nernst-Planck equations with generalized Frumkin-Butler-Volmer boundary conditions (PNP-FBV) describe ion transport with Faradaic reactions, and have applications in a…
Theory of linear sweep voltammetry with diffuse charge: unsupported electrolytes, thin films, and leaky membranes
David Yan, Martin Z. Bazant, P. M. Biesheuvel +2
Linear sweep and cyclic voltammetry techniques are important tools for electrochemists and have a variety of applications in engineering. Voltammetry has classically been treated w…
Technical Report: Modeling of Composite Piezoelectric Structures with the Finite Volume Method
Valentin Bolborici, Francis P. Dawson, Mary C. Pugh
Piezoelectric devices, such as piezoelectric traveling wave rotary ultrasonic motors, have composite piezoelectric structures. A composite piezoelectric structure consists of a com…
Research Announcement: Finite-time Blow Up and Long-wave Unstable Thin Film Equations
Marina Chugunova, M. C. Pugh, Roman M. Taranets
We study short--time existence, long--time existence, finite speed of propagation, and finite--time blow--up of nonnegative solutions for long-wave unstable thin film equations $h_…