On the numerical solutions of boundary value problems in the plane for the electrical impedance equation: A pseudoanalytic approach for non-smooth domains

Abstract

We study the Electrical Impedance Equation within a special class of domains, whose boundaries posses non-smooth points. The forward Dirichlet boundary value problem is solved bias a novel numerical method, based upon the Pseudoanalytic Function Theory, that does not require additional regularization techniques to fulfill the boundary condition at the non-smooth points. © 2014 Springer Science+Business Media Dordrecht.