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

Authors:
  • MLM. Stuart Lynn
    M. Stuart Lynn
  • WTWilliam P. Timlake
    William P. Timlake

Abstract
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.

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