Varun Shankar, Ph.D. - Publications

Affiliations: 
2014 School of Computing University of Utah, Salt Lake City, UT 
Area:
Applied Mathematics, Mathematics, Biomechanics Biophysics

14 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2021 Shankar V, Wright GB, Fogelson AL. An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains. Journal of Computational Physics. 445. PMID 34538887 DOI: 10.1016/j.jcp.2021.110633  0.323
2018 Shankar V, Fogelson AL. Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations. Journal of Computational Physics. 372: 616-639. PMID 31011233 DOI: 10.1016/J.Jcp.2018.06.036  0.454
2018 Shankar V, Kirby RM, Fogelson AL. Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces Siam Journal On Scientific Computing. 40: A2584-A2608. DOI: 10.1137/17M114090X  0.532
2018 Shankar V, Narayan A, Kirby RM. RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for solving PDEs on surfaces Journal of Computational Physics. 373: 722-735. DOI: 10.1016/J.Jcp.2018.07.015  0.563
2018 Shankar V, Wright GB. Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions Journal of Computational Physics. 366: 170-190. DOI: 10.1016/J.Jcp.2018.04.007  0.454
2018 Zala V, Shankar V, Sastry SP, Kirby RM. Curvilinear Mesh Adaptation Using Radial Basis Function Interpolation and Smoothing Journal of Scientific Computing. 77: 397-418. DOI: 10.1007/S10915-018-0711-0  0.536
2017 Lehto E, Shankar V, Wright GB. A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces Siam Journal On Scientific Computing. 39: A2129-A2151. DOI: 10.1137/16M1095457  0.442
2017 Shankar V. The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD Journal of Computational Physics. 342: 211-228. DOI: 10.1016/J.Jcp.2017.04.037  0.433
2016 Shankar V, Wright GB, Kirby RM, Fogelson AL. A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. Journal of Scientific Computing. 63: 745-768. PMID 25983388 DOI: 10.1007/S10915-014-9914-1  0.578
2016 Fuselier EJ, Shankar V, Wright GB. A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations Computers and Fluids. 128: 41-52. DOI: 10.1016/J.Compfluid.2016.01.009  0.421
2015 Shankar V, Wright GB, Kirby RM, Fogelson AL. Augmenting the immersed boundary method with Radial Basis Functions (RBFs) for the modeling of platelets in hemodynamic flows International Journal For Numerical Methods in Fluids. 79: 536-557. DOI: 10.1002/Fld.4061  0.565
2015 Shankar V, Olson SD. Radial basis function (RBF)-based parametric models for closed and open curves within the method of regularized stokeslets International Journal For Numerical Methods in Fluids. 79: 269-289. DOI: 10.1002/Fld.4048  0.395
2014 Shankar V, Wright GB, Fogelson AL, Kirby RM. A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method International Journal For Numerical Methods in Fluids. 75: 1-22. DOI: 10.1002/Fld.3880  0.564
2013 Shankar V, Wright GB, Fogelson AL, Kirby RM. A study of different modeling choices for simulating platelets within the immersed boundary method. Applied Numerical Mathematics : Transactions of Imacs. 63: 58-77. PMID 23585704 DOI: 10.1016/J.Apnum.2012.09.006  0.552
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