A stabilized finite volume element method for solving Poisson-Nernst-Planck equations.
Sign Up to like & getrecommendations! Published in 2021 at "International journal for numerical methods in biomedical engineering"
DOI: 10.1002/cnm.3543
Abstract: One difficulty in solving the Poisson-Nernst-Planck (PNP) equations used for studying the ion transport in channel proteins is the possible convection-dominant problem in the Nernst-Planck equations. In this paper, to overcome this issue, considering the… read more here.
Keywords: nernst planck; stabilized finite; solving poisson; planck ... See more keywords
Solving 2D Poisson-type equations using meshless SPH method
Sign Up to like & getrecommendations! Published in 2019 at "Results in Physics"
DOI: 10.1016/j.rinp.2019.102260
Abstract: Abstract In the present study, 2D Poisson-type equation is solved by a meshless Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The influence of the kernel function, smoothing length and particle discretizations of problem domain on the… read more here.
Keywords: using meshless; type equations; poisson type; solving poisson ... See more keywords
Variational quantum algorithm based on the minimum potential energy for solving the Poisson equation
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review A"
DOI: 10.1103/physreva.104.052409
Abstract: Computer-aided engineering techniques are indispensable in modern engineering developments. In particular, partial diļ¬erential equations are commonly used to simulate the dynamics of physical phenomena, but very large systems are often intractable within a reasonable computation… read more here.
Keywords: poisson equation; solving poisson; quantum algorithm; quantum ... See more keywords