The central focus of my research is the development of computationally optimal parallel, high-performance algorithms, both discrete and continuous, that are efficient and scalable on state-of-the-art architectures. It is driven by applications in biosciences, computational relativity and geophysics, such as cardiovascular mechanics, binary black-hole mergers, and seismic wave propagation. My research has resulted in the development of state-of-the-art distributed algorithms for adaptive mesh refinement, geometric multigrid, fast Gauss transform and sorting.
Here are some recent papers. Find a complete list here.
Milinda Fernando, Hari Sundar, Scalable Local Timestepping on Octree Grids, to appear SIAM Journal on Scientific Computing.
Kumar Saurabh, Masado Ishii, Milinda Fernando, Boshun Gao, Kendrick Tan, Ming-Chen Hsu, Adarsh Krishnamurthy, Hari Sundar, Baskar Ganapathysubramanian, Scalable adaptive PDE solvers in arbitrary domains, Proceedings of the ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis (SC21).
Kumar Saurabh, Boshun Gao, Milinda Fernando, Songzhe Xu, Makrand A Khanwale, Biswajit Khara, Ming-Chen Hsu, Adarsh Krishnamurthy, Hari Sundar, Baskar Ganapathysubramanian, Industrial scale Large Eddy Simulations with adaptive octree meshes using immersogeometric analysis Computers & Mathematics with Applications, Vol 97, Sep 2021.
Max Carlson, Xiaoning Zheng, Hari Sundar, George Em Karniadakis, Robert M Kirby, An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains Computer Physics Communications, Vol 261, Apr 2021.
Songzhe Xu, Boshun Gao, Alec Lofquist, Milinda Fernando, Ming-Chen Hsu, Hari Sundar, Baskar Ganapathysubramanian, An octree-based immersogeometric approach for modeling inertial migration of particles in channels Computers & Fluids, Vol 214, Jan 2021.
Makrand A Khanwale, Alec D Lofquist, Hari Sundar, James A Rossmanith, Baskar Ganapathysubramanian, Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes Journal of Computational Physics Vol 419 Oct 2020.
Majid Rasouli, Robert M Kirby, Hari Sundar, A Compressed, Divide and Conquer Algorithm for Scalable Distributed Matrix-Matrix Multiplication, The International Conference on High Performance Computing in Asia-Pacific Region, 2021.
Max Carlson, Robert M Kirby, Hari Sundar, A scalable framework for solving fractional diffusion equations, Proceedings of the 34rd ACM on International Conference on Supercomputing (ICS20), 2020.
I am interested in taking on new students (undergrad, masters & PhD). If you are interested in working on the kind of problems that interest me, feel free to email me.