Browsing RPI Theses Open Access by Author "Oberai, Assad A"

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A parallel and adaptive interface tracking approach for evolving geometry problems

Yang, Fan (Rensselaer Polytechnic Institute, Troy, NY, 2019-12)

Numerical simulations employing an interface tracking approach are desired in many evolving-geometry applications, particularly those involving fluid-structure and/or multiphase interactions with moving boundaries/interfaces. ...
PDE-constrained optimization algorithms for inverse problems in biomechanics and mechanobiology

Dong, Li (Rensselaer Polytechnic Institute, Troy, NY, 2017-08)

Both problems described above are governed by the same system of elliptic PDEs that enforce mechanical equilibrium for an elastic material. In this thesis, we apply an optimization framework and treat the above two types ...