| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1707826 | Applied Mathematics Letters | 2015 | 6 Pages |
Abstract
The Immersed Interface Method is employed to solve the time-varying electric field equations around a three-dimensional vesicle. To achieve second-order accuracy the implicit jump conditions for the electric potential, up to the second normal derivative, are derived. The trans-membrane potential is determined implicitly as part of the algorithm. The method is compared to an analytic solution based on spherical harmonics and verifies the second-order accuracy of the underlying discretization even in the presence of solution discontinuities. A sample result for an elliptic interface is also presented.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ebrahim M. Kolahdouz, David Salac,