| A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces V Shankar, GB Wright, RM Kirby, AL Fogelson Journal of Scientific Computing, 2014 | 168 | 2014 |
| A radial basis function (RBF) compact finite difference (FD) scheme for reaction-diffusion equations on surfaces E Lehto, V Shankar, GB Wright SIAM Journal on Scientific Computing 39 (5), A2129-A2151, 2017 | 91 | 2017 |
| The Overlapped Radial Basis Function-Finite Difference (RBF-FD) Method: A Generalization of RBF-FD V Shankar Journal of Computational Physics, 2017 | 73 | 2017 |
| Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations V Shankar, AL Fogelson Journal of Computational Physics 372, 616-639, 2018 | 67 | 2018 |
| Robust node generation for meshfree discretizations on irregular domains and surfaces V Shankar, RM Kirby, AL Fogelson SIAM Journal on Scientific Computing 40 (4), A2584-A2607, 2018 | 54 | 2018 |
| Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions V Shankar, GB Wright Journal of Computational Physics 366, 170-190, 2018 | 47 | 2018 |
| Accelerated Training of Physics-Informed Neural Networks (PINNs) using Meshless Discretizations R Sharma, V Shankar Advances in Neural Information Processing Systems 35, 1034-1046, 2022 | 46 | 2022 |
| A radial basis function (RBF) finite difference method for the simulation of reaction–diffusion equations on stationary platelets within the augmented forcing method V Shankar, GB Wright, AL Fogelson, RM Kirby International Journal for Numerical Methods in Fluids 75 (1), 1-22, 2014 | 45 | 2014 |
| RBF-LOI: Augmenting radial basis functions (RBFs) with least orthogonal interpolation (LOI) for solving PDEs on surfaces V Shankar, A Narayan, RM Kirby Journal of Computational Physics 373, 722-735, 2018 | 39 | 2018 |
| A robust hyperviscosity formulation for stable RBF-FD discretizations of advection-diffusion-reaction equations on manifolds V Shankar, GB Wright, A Narayan SIAM Journal on Scientific Computing 42 (4), A2371-A2401, 2020 | 33 | 2020 |
| A study of different modeling choices for simulating platelets within the immersed boundary method V Shankar, GB Wright, AL Fogelson, RM Kirby Applied Numerical Mathematics 63, 58-77, 2013 | 27 | 2013 |
| 3-D FDTD modeling of electromagnetic wave propagation in magnetized plasma requiring singular updates to the current density equation S Pokhrel, V Shankar, JJ Simpson IEEE Transactions on Antennas and Propagation 66 (9), 4772-4781, 2018 | 26 | 2018 |
| A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations EJ Fuselier, V Shankar, GB Wright Computers & Fluids 128, 41-52, 2016 | 21 | 2016 |
| Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows V Shankar, GB Wright, RM Kirby, AL Fogelson International Journal for Numerical Methods in Fluids, 2015 | 18 | 2015 |
| An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains V Shankar, GB Wright, AL Fogelson Journal of Computational Physics 445, 110633, 2021 | 14 | 2021 |
| MGM: A meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces GB Wright, A Jones, V Shankar SIAM Journal on Scientific Computing 45 (2), A312-A337, 2023 | 11 | 2023 |
| Pump efficacy in a two-dimensional, fluid–structure interaction model of a chain of contracting lymphangions H Elich, A Barrett, V Shankar, AL Fogelson Biomechanics and Modeling in Mechanobiology 20, 1941-1968, 2021 | 9 | 2021 |
| Towards an extrinsic, CG-XFEM approach based on hierarchical enrichments for modeling progressive fracture MK Ballard, R Amici, V Shankar, LA Ferguson, M Braginsky, RM Kirby Computer Methods in Applied Mechanics and Engineering 388, 114221, 2022 | 8 | 2022 |
| Radial basis function (RBF)‐based parametric models for closed and open curves within the method of regularized stokeslets V Shankar, SD Olson International Journal for Numerical Methods in Fluids 79 (6), 269-289, 2015 | 8 | 2015 |
| Asymptotic and numerical analysis of a stochastic PDE model of volume transmission SD Lawley, V Shankar Multiscale Modeling & Simulation 18 (2), 887-915, 2020 | 6 | 2020 |
Robert M. Kirby OR R.M. KirbySchool of Computing, University of UtahVerified email at cs.utah.edu
