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.
| Original language | English |
|---|---|
| Pages (from-to) | 7-12 |
| Number of pages | 6 |
| Journal | Applied Mathematics Letters |
| Volume | 39 |
| DOIs | |
| State | Published - Jan 2015 |
Keywords
- Electric field
- Immersed interface method
- Trans-membrane potential
- Vesicle
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