Sensitivity analysis of finite element-based equilibrium problems using Padé approximants

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1990
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Kwon, Soon Ki
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James E. Bernard
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Mechanical Engineering
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Finite element analysis is commonly used to analyze structures. It is often desirable to use the solution of finite element problems as part of the objective function for structural optimization;Since finite element solutions can be quite demanding numerically, it is a common practice to approximate the finite element solution in the neighborhood of an original design for the purpose of simplifying the calculation of the objective function. This procedure is called sensitivity analysis. The range of validity of the approximation is very important. The range usually depends on whether high order terms are included in the expansion and, if they are included, on the convergence of the expansion;This thesis presents the sensitivity analysis of finite element-based equilibrium problems using Pade approximants. The goal is to provide an approximation valid for a large design change. The thesis lays the foundation for Pade approximants in a finite element context and illustrates their use through several examples.

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Mon Jan 01 00:00:00 UTC 1990