1 citations · 1 across the 4 of their papers we have counts for
4 papers
Distributed optimal control problems governed by poroelasticity equations
Arbaz Khan, Jeonghun J. Lee, Harpal Singh
In this paper, we propose and analyze a novel two-field symmetric formulation with solid displacement and fluid pressure as main unknowns for the Biot's consolidation model in poro…
Structure-Preserving and Pressure-Robust PINNs for Incompressible Oseen Problems
Shiv Mishra, Arbaz Khan
We develop a new class of physics-informed neural network approximations for the stationary Oseen equations based on stability-consistent loss constructions. In contrast to standar…
Mixed Consistent PINNs for Elliptic Obstacle Problems with Stability Analysis
Arbaz Khan, Kent-Andre Mardal, Shiv Mishra
We propose a consistent physics-informed neural networks (CPINNs) framework for elliptic obstacle problems formulated as variational inequalities. The method is based on a mixed lo…
Optimal Control of Stationary Doubly Diffusive Flows on Lipschitz Domains
Jai Tushar, Arbaz Khan, Manil T. Mohan
In this work, we study the control constrained distributed optimal control of a stationary doubly diffusive flow model. For the control problem, we use a well-posedness analysis ba…