50 citations · 95 across the 16 of their papers we have counts for
17 papers
Improving hp-Variational Physics-Informed Neural Networks for Steady-State Convection-Dominated Problems
Thivin Anandh, Divij Ghose, Himanshu Jain +3
This paper proposes and studies two extensions of applying hp-variational physics-informed neural networks, more precisely the FastVPINNs framework, to convection-dominated convect…
An efficient hp-Variational PINNs framework for incompressible Navier-Stokes equations
Thivin Anandh, Divij Ghose, Ankit Tyagi +3
Physics-informed neural networks (PINNs) are able to solve partial differential equations (PDEs) by incorporating the residuals of the PDEs into their loss functions. Variational P…
FastVPINNs: Tensor-Driven Acceleration of VPINNs for Complex Geometries
Thivin Anandh, Divij Ghose, Himanshu Jain +1
Variational Physics-Informed Neural Networks (VPINNs) utilize a variational loss function to solve partial differential equations, mirroring Finite Element Analysis techniques. Tra…
AI-augmented stabilized finite element method
Sangeeta Yadav, Sashikumaar Ganesan
An artificial intelligence-augmented Streamline Upwind/Petrov-Galerkin finite element scheme (AiStab-FEM) is proposed for solving singularly perturbed partial differential equation…
An Operator-Splitting Finite Element Method for the Numerical Solution of Radiative Transfer Equation
Sashikumaar Ganesan, Maneesh Kumar Singh
An operator-splitting finite element scheme for the time-dependent, high-dimensional radiative transfer equation is presented in this paper. The streamline upwind Petrov-Galerkin f…
An overlapping local projection stabilization for Galerkin approximations of Darcy and Stokes problems
Deepika Garg, Sashikumaar Ganesan
A priori analysis for a generalized local projection stabilized conforming finite element approximation of Darcy flow and Stokes problems is presented in this paper. A first-order…
Generalized local projection stabilized finite element method for advection-reaction problems
Deepika Garg, Sashikumaar Ganesan
A priori analysis for a generalized local projection stabilized finite element approximations for the solution of an advection-reaction equation is presented in this article. The s…
Spatio-temporal predictive modeling framework for infectious disease spread
Sashikumaar Ganesan, Deepak Subramani
A novel predictive modeling framework for the spread of infectious diseases using high dimensional partial differential equations is developed and implemented. A scalar function re…
SParSH-AMG: A library for hybrid CPU-GPU algebraic multigrid and preconditioned iterative methods
Sashikumaar Ganesan, Manan Shah
Hybrid CPU-GPU algorithms for Algebraic Multigrid methods (AMG) to efficiently utilize both CPU and GPU resources are presented. In particular, hybrid AMG framework focusing on min…
Stability analysis and error estimates of a projection based variational multiscale method for Oseen equations in moving domains
Birupaksha Pal, Sashikumaar Ganesan
Stability and error estimate for the Oseen equations in a projection based variational setup has been derived in this paper. The use of Geometric Conservation Law (GCL) provides un…
Local projection stabilized finite element modeling of viscoelastic two-phase flows
Jagannath Venkatesan, Sashikumaar Ganesan
A three-field local projection stabilized finite element method is developed for computations of a 3D-axisymmetric buoyancy driven bubble rising in a liquid column in which either…
ParMooN - a modernized program package based on mapped finite elements
Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed +11
{\sc ParMooN} is a program package for the numerical solution of elliptic and parabolic partial differential equations. It inherits the distinct features of its predecessor {\sc Mo…
An object oriented parallel finite element scheme for computations of PDEs: Design and implementation
Sashikumaar Ganesan, Volker John, Gunar Matthies +3
Parallel finite element algorithms based on object-oriented concepts are presented. Moreover, the design and implementation of a data structure proposed are utilized in realizing a…
ALE-SUPG finite element method for convection-diffusion problems in time-dependent domains: Non-conservative form
Sashikumaar Ganesan, Shweta Srivastava
Stability estimates for Streamline Upwind Petrov-Galerkin (SUPG) finite element method with different time integration schemes for the solution of a scalar transient convection-dif…
On the Navier-slip boundary condition for computations of impinging droplets
Jagannath Venkatesan, Sashikumaar Ganesan
A mesh-dependent relation for the slip number in the Navier-slip with friction boundary condition for computations of impinging droplets with sharp interface methods is proposed. T…
Computation of impinging droplet with soluble surfactants and dynamic contact angle
Sashikumaar Ganesan
An arbitrary Lagrangian--Eulerian (ALE) finite element scheme for computations of soluble surfactant droplet impingement on a horizontal surface is presented. The numerical scheme…
ALE-SUPG finite element method for convection-diffusion problems in time-dependent domains: Conservative form
Sashikumaar Ganesan, Shweta Srivastava
A Streamline Upwind Petrov-Galerkin (SUPG) finite element method for transient convection-diffusion-reaction equation in time-dependent domains is proposed. In particular, a convec…