A Newton-GMRES Approach for the Analysis of the Postbuckling Behavior of the Solutions of the von Karman Equations

Abstract

We propose a Newton-GMRES¿type algorithm to solve the discrete von Karman problem. We show that this algorithm is efficient both in memory andcomputation time and robust in the neighborhood of the singular points of the bifurcation diagrams. Placing ourselves in the context of the Schaeffer and Golubitsky theory, we use this algorithm to study the postbuckling behavior of a rectangular plate clamped and compressed along its four sides.