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Speaker	Dr. C. Armando Duarte
Institution	University of Illinois
Faculty Host	Dr. Rakesh Kapania
Date & Time	10.12.2009 04:00pm
Location	129 McBryde Hall
This presentation focus on a novel computational method for multiscale phenomena. The methodology is based on the Generalized FEM (GFEM) and can be applied to a broad class of multiscale problems. It involves the solution of interdependent global (structural) and local-scale problems. The local problems focus on the resolution of fine-scale features of the solution in the vicinity of, e.g., three-dimensional cracks or regions with sharp thermal gradients, while the global problem addresses the macro-scale structural behavior. The boundary conditions for the local problems are provided by the coarse global mesh solution while the local solutions are embedded into the global problem using the partition of unity concept. This enables a two-way information transfer between scales and leads to a robust and accurate methodology. We show that this GFEM provides convergent solutions even when classical global-local analysis fails due to numerical pollution of the FEM solution. Numerical examples demonstrating the application and robustness of the procedure to three-dimensional fracture mechanics and heat transfer problems are presented.

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