We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A stabilized finite volume element method for solving Poisson–Nernst–Planck equations.
- Authors
Li, Jiao; Ying, Jinyong
- 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 general mixed boundary conditions of concentration functions on the interface, a novel stabilized finite volume element method based on the standard weak formulation to solve the steady‐state PNP equations is proposed and analyzed. Numerical tests on four ion‐channel proteins served as benchmark with varying boundary conditions in a certain range show that the new stabilized technique not only improves the robustness of the new PNP solver, but also makes the computed (especially the maximal) concentration values much more reasonable. A new stabilized technique for the mixed boundary condition on the interface is proposed and analyzed.The new stabilized PNP solver is fulfilled in Fortran and Python, and well validated using the test models.The effectiveness of the new stabilized technique as well as the robustness of the new PNP solver is demonstrated.
- Subjects
FINITE volume method; POISSON'S equation; FINITE element method; NERNST-Planck equation; CARRIER proteins; CONCENTRATION functions
- Publication
International Journal for Numerical Methods in Biomedical Engineering, 2022, Vol 38, Issue 1, p1
- ISSN
2040-7939
- Publication type
Article
- DOI
10.1002/cnm.3543