29 citations · 70 across the 8 of their papers we have counts for
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math.AP2016★ 15 cited
The optimal multilevel Monte-Carlo approximation of the stochastic drift-diffusion-Poisson system
Leila Taghizadeh, Amirreza Khodadadian, Clemens Heitzinger
Existence and local-uniqueness theorems for weak solutions of a system consisting of the drift-diffusion-Poisson equations and the Poisson-Boltzmann equation, all with stochastic c…
physics.comp-ph2016★ 23 cited
Adaptive and Iterative Methods for Simulations of Nanopores with the PNP-Stokes Equations
Gregor Mitscha-Baude, Andreas Buttinger-Kreuzhuber, Gerhard Tulzer +1
We present a 3D finite element solver for the nonlinear Poisson-Nernst-Planck (PNP) equations for electrodiffusion, coupled to the Stokes system of fluid dynamics. The model serves…