3 papers
math.OC2026
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…
math.NA2024
Conforming/Non-Conforming Mixed Finite Element Methods for Optimal Control of Velocity-Vorticity-Pressure Formulation for the Oseen Problem with Variable Viscosity
Harpal Singh, Arbaz Khan
This work examines the distributed optimal control of generalized Oseen equations with non-constant viscosity. We propose and analyze a new conforming augmented mixed finite elemen…
math.NA2024
Divergence conforming DG method for the optimal control of the Oseen equation with variable viscosity
Harpal Singh, Arbaz Khan
This study introduces the divergence-conforming discontinuous Galerkin finite element method (DGFEM) for numerically approximating optimal control problems with distributed constra…