Varun Shankar
Orcid: 0000-0002-0332-8840
According to our database1,
Varun Shankar
authored at least 31 papers
between 2012 and 2023.
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Bibliography
2023
Multiscale graph neural network autoencoders for interpretable scientific machine learning.
J. Comput. Phys., December, 2023
MGM: A Meshfree Geometric Multilevel Method for Systems Arising from Elliptic Equations on Point Cloud Surfaces.
SIAM J. Sci. Comput., April, 2023
Mach. Learn. Sci. Technol., March, 2023
CoRR, 2023
Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis.
CoRR, 2023
2022
J. Comput. Phys., 2022
Int. J. High Perform. Comput. Appl., 2022
Accelerated Training of Physics-Informed Neural Networks (PINNs) using Meshless Discretizations.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022
2021
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains.
J. Comput. Phys., 2021
Towards an Extrinsic, CG-XFEM Approach Based on Hierarchical Enrichments for Modeling Progressive Fracture.
CoRR, 2021
2020
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds.
SIAM J. Sci. Comput., 2020
Multiscale Model. Simul., 2020
2018
Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces.
SIAM J. Sci. Comput., 2018
J. Sci. Comput., 2018
Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions.
J. Comput. Phys., 2018
RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for solving PDEs on surfaces.
J. Comput. Phys., 2018
Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations.
J. Comput. Phys., 2018
Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces.
CoRR, 2018
2017
A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces.
SIAM J. Sci. Comput., 2017
The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD.
J. Comput. Phys., 2017
2016
The Overlapped Radial Basis Function-Finite Difference (RBF-FD) Method for the Numerical Solution of PDEs.
CoRR, 2016
2015
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces.
J. Sci. Comput., 2015
Radial Basis Function (RBF)-based Parametric Models for Closed and Open Curves within the Method of Regularized Stokeslets.
CoRR, 2015
A High-Order Radial Basis Function (RBF) Leray Projection Method for the Solution of the Incompressible Unsteady Stokes Equations.
CoRR, 2015
2014
Radial Basis Function-Based Numerical Methods for the Simulation of Platelet Aggregation.
PhD thesis, 2014
2013
Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows
CoRR, 2013
A Radial Basis Function (RBF)-Finite Difference Method for the Simulation of Reaction-Diffusion Equations on Stationary Platelets within the Augmented Forcing Method.
CoRR, 2013
2012
A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method
CoRR, 2012