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Abstract

A number of applications of interest at Sandia National Laboratories involve hyperbolic PDEs, and ultimately require uncertainty quantification methods. I will describe in general the nature of these applications and focus in particular on algorithms for shock hydrodynamics and transient dynamics problems based on tetrahedral finite elements. I will also be discussing perspectives on using this computational framework for complex-geometry fluid-structure interaction problems, in combination with mesh adaptation, optimization, and uncertainty quantification.