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Varun Shankar
Varun Shankar
School of Computing, University of Utah
Adresse e-mail validée de cs.utah.edu - Page d'accueil
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Année
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
1432014
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
732017
The Overlapped Radial Basis Function-Finite Difference (RBF-FD) Method: A Generalization of RBF-FD
V Shankar
Journal of Computational Physics, 2017
612017
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
572018
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
472018
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
432014
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
382018
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
342018
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
262013
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
242018
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
232020
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
202022
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
162016
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
162015
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
102021
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
72015
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
52023
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
52021
Asymptotic and numerical analysis of a stochastic PDE model of volume transmission
SD Lawley, V Shankar
Multiscale Modeling & Simulation 18 (2), 887-915, 2020
52020
Curvilinear mesh adaptation using radial basis function interpolation and smoothing
V Zala, V Shankar, SP Sastry, RM Kirby
Journal of Scientific Computing 77, 397-418, 2018
52018
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