Kartikey Asthana

Background

Ph.D. Candidate
Major: Aeronautics and Astronautics,
Minor: Computational Mathematics and Engineering,
Stanford University
 

Master of Science
Major: Aeronautics and Astronautics,
Stanford University, June 2014.
 

Bachelor of Technology
Major: Aerospace Engineering
Indian Institute of Technology, Kanpur, June 2012.
 

Research Interests

High-order numerical methods for partial differential equations:
      Spectral analysis of discontinuous finite element schemes for

• characterization and reduction of dispersion and dissipation errors,
• non-linear stabilization and shock capturing using spectral filtering

Large Eddy Simulation:
      Development of robust, high-order, spectrally optimal Flux Reconstruction schemes for computation of fluid flows over complex geometries with unstructured grids

Publication List

			High-Order Flux Reconstruction Schemes with Minimal Dispersion and Dissipation (with Jameson, A.), Journal of Scientific Computing, DOI:10.1007/s10915-014-9882-5, June 2014
			An explicit higher order difference scheme on a compact stencil for elliptic equations on curvilinear geometries (with Sengupta, T.K.), Applied Mathematics and Computation, DOI: 10.1016/j.amc.2014.05.049, Volume 242 [143-158], September 2014