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I'm interested in mathematical, numerical and computational treatment of Partial Differential Equations (PDE) that arise from various applications, PDE constrained optimization and recently in uncertainty quantification. My favorite numerical scheme for discretizing PDEs, and the one I'm mostly experienced with, is the Glerking finite element method. Recently I've been working on particle methods, in particular on Smoothed Particle Hydrodynamics. Also I'm interest in the design and analysis of numerical methods and the mathematical analysis (existence/uniqueness results) of PDEs. I'm currently working on two main applications: Ice sheet dynamics & Mesoscale Materials. |
