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Featured Research

Eric de Sturler - Numerical analysis and scientific computing play a key role in the design of advanced structural systems. In this (relatively) simple example we compute the shape of the strongest (stiffest) cantilever bar given a fixed amount of material. The bar is clamped in on one side and loaded on the other. This optimization combines finite element discretization of the equations of elasticity with numerical linear algebra for the rapid solution of a sequence of very large systems of equations and robust optimization to optimize the distribution of material. In addition, we reduce the cost of these expensive computations by using adaptive mesh refinement and derefinement. This research is a collaboration with Glaucio Paulino and Shun Wang at the University of Illinois. Part of this work was sponsored by the National Science Foundation under grant nr. DMR-0325939.

Click here for more information on the use of numerical methods in problems from mechanics, materials science, biology, tomography, and computer graphics.