Research Statement

Research interests Numerical Partial Differential Equations Reduced Order Modeling Numerical Optimization / Inverse Problems Uncertainty Quantification Mathematical Modeling High Performance computing

Papers H. Yang, M. Gunzburger, Algorithms and analyses for stochastic optimization for turbofan noise reduction using parallel reduced-order modeling . Computer Methods in Applied Mechanics and Engineering, in press, 2017. H. Yang, A. Veneziani, Efficient Estimation of Cardiac Conductivities via POD-DEIM Model Order Reduction. Applied Numerical Mathematics, Volume 115, May 2017, Pages 180-199. H. Yang, Parameter Estimation and Reduced-order Modeling in Electrocardiology. PhD Dissertation. 2015. H. Yang, A. Veneziani, Estimation of cardiac conductivities in ventricular tissue by a variational approach. 2015 Inverse Problems 31 115001. H. Yang, T. Passerini, T. Mansi, and D. Comaniciu, Data-driven model reduction for fast, high-fidelity atrial electrophysiology computations. Functional Imaging and Modeling of the Heart, Lecture Notes in Computer Science, vol. 9126, 2015, pp.466-474. L. Xu, H. Yang, On the generalizations of Denjoy-Wolff theorem. Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no.4 1333-1337.

US Patents H. Yang, T. Passerini, B. Georgescu, T. Mansi, D. Comaniciu. System and Method for Patient-Specific Image-Based Simulation of Artial Electrophysiology. Patent No. US20160058520.

Conference Minisymposium Organizer H. Yang, K. Pieper. Stochastic optimization with differential equations: methods and applications (minisymposium), SIAM Conference on Computational Science and Engineering, February 27-March 3, 2017. L. Bertagna, H. Yang, A. Veneziani. Inverse Problems in Cardiovascular Mathematics (minisymposium), 3rd International Conference on Computational & Mathematical Biomedical Engineering, Hong Kong, December 16-18, 2013.

Conference Talks "Stochastic optimal control for turbofan noise reduction with parallel reduced order modeling", SIAM Conference on Computational Science and Engineering, February 27-March 3, 2017. "Model and solution reduction techniques for patient-specific parameter estimation in cardiovascular mathematics: failure and success", Applied Inverse Problems Conference in 2015, Helsinki, Finland, May 25-29, 2015 "Variational estimation of cardiac conductivities: Numerical issues, sensitivity analysis, computational cost reduction", 2nd International Workshop on Latest Advances in Cardiac Modeling, Munich, Germany, March 2015 (abstract) “Order Reduced Methods for Cardiac Conductivities Estimation”, 3rd International Conference on Computational & Mathematical Biomedical Engineering, Hong Kong, December 16-18 2013 “Variational Estimation of Cardiac Conductivities by a Data Assimilation Procedure”, 12th U.S. National Congress on Computational Mechanics, Raleigh, North Carolina, US, July 22-25, 2013 “Conductivity Parameters Estimation for the Cardiac Bidomain Model”, 5th Annual JohnFest/SIAM Student Conference, Clemson, South Carolina, US, February 8-9, 2013