List of Publications:


Publications (reverse chronological order) (bold = primary author)

  1. V. Shankar and A. L. Fogelson. Hyperviscosity-based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations (submitted, January 2018).
  2. V. Shankar, A. Narayan and R. M. Kirby. RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for solving PDEs on Surfaces (submitted, December 2017).
  3. V. Shankar and G. B. Wright. Meshfree Semi-Lagrangian Methods for Advection on a Sphere using Radial Basis Functions (revised, January 2018).
  4. V. Shankar, R. M. Kirby and A. L. Fogelson. Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces (in revision).
  5. V. Shankar. The Overlapped Radial Basis Function-Finite Difference (RBF-FD) Method: A Generalization of RBF-FD (Journal of Computational Physics, August 2017). [link][preprint]
  6. V. Zala, V. Shankar, S. P. Sastry and R. M. Kirby. Curvilinear Mesh Rectification using Radial Basis Function Interpolation and Smoothing (in revision).
  7. E. Lehto, V. Shankar and G. B. Wright. A Radial Basis Function (RBF)-Based Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces (Accepted to SIAM Journal on Scientific Computing, February 2017). [link][preprint]
  8. E. Fuselier, V. Shankar and G. B. Wright. A Radial Basis Function (RBF)-Based Leray Projection Method for the Incompressible Unsteady Stokes Equations (Computers and Fluids, April 2016). [link][preprint]
  9. V. Shankar, G. B. Wright, R. M. Kirby and A. L. Fogelson. Augmenting the Immersed Boundary method with Radial Basis Functions (RBFs) for the simulation of platelets in hemodynamic flows (Int. J. for Numerical Methods in Fluids, July 2015). [link][preprint]
  10. V. Shankar and S. D. Olson. Radial Basis Function (RBF)-based Parametric Models for Closed and Open Curves within the Method of Regularized Stokeslets (Int. J. for Numerical Methods in Fluids, May 2015). [link][preprint]
  11. V. Shankar, G. B. Wright, R. M. Kirby and A. L. Fogelson. A Radial Basis Function (RBF)- Finite Difference (FD) method for diffusion and reaction-diffusion equations on surfaces (Journal of Scientific Computing, September 2014). [link][preprint]
  12. V. Shankar, G. B. Wright, A. L. Fogelson and R. M. Kirby. A Radial Basis Function (RBF) Finite Difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method (Int. J. for Numerical Methods in Fluids, Jan 2014). [link][preprint]
  13. V. Shankar, G. B. Wright, A. L. Fogelson and R. M. Kirby. A study of different modeling choices for simulating platelets within the Immersed Boundary method (APNUM, Jan 2013). [link][preprint]

Publications in preparation

PhD Dissertation

V. Shankar. Radial Basis Function-Based Numerical Methods For The Simulation Of Platelet Aggregation (PhD thesis/dissertation). [link