Acceleration of Multidisciplinary Analysis Solvers by Inexact Subsystem Simulations

Matthias Heinkenschloss
Mary Beth Hribar
Department of Computational and Applied Mathematics

Michael Kokkolaras
Department of Mechanical Engineering and Materials Science

Rice University

AIAA Paper 98-4712
7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization
September 2-4, 1998, St. Louis, MO

Abstract

This paper is concerned with the numerical solution of systems of blocked nonlinear equations arising in the solution of Multidisciplinary Analysis (MDA) problems. We consider the case where individual discipline solvers/simulators are given and are iterative methods. Thus, an MDA solver consists of an outer iteration for the solution of the system of blocked nonlinear equations and of inner iterations in the discipline simulators. We will show how the control of the truncation of the inner iterations can be effectively used to accelerate the overall iteration. The key is the interpretation of the outer iteration with inexact inner iteration as an iteration of a related system with same solution as the MDA problem.

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