The Use of Multiple Deflations in the Numerical Solution of Singular Systems of Equations, with Applications to Potential Theory

The main emphasis of this paper is on generalizing, to the multi-interface Neumann problem, some of the results established in [14]. In the latter, we considered how deflation techniques could be used both in properly defining and in solving discrete approximations to the integral equation formulation of the single-interface problem. In addition, we observe how deflation techniques can be useful in solving systems obtained from discrete approximations to the partial differential equation formulation of the Neumann problem.