Simulation of electroosmosis using a meshless Finite Point Method

A Finite Point Method (FPM) based on a weighted least squares interpolation is presented for the simulation of electroosmotic transport in capillaries. This method requires no mesh and involves no Galerkin-type integration, making it more computationally efficient than the traditional finite element method. The FPM has been employed to solve the non-linear Poisson-Boltzmann equation for charge distribution, the Laplace equation for applied potential, and the Stokes equations for fluidic transport. These equations govern electroosmotic transport, the phenomenon used to drive fluid through electrophoretic separation systems.