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math.NA2024
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…
math.NA2020
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…
math.NA2020★ 3 cited
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…