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math.AP2026
On the solvability for mixed boundary value problems
Rohit Khandelwal, Zongyuan Li
We establish global solvability for the Poisson equation with mixed Dirichlet--Neumann boundary conditions in two classes of domains in all dimensions . For $C^{…
math.OC2026
Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking
Harbir Antil, Yaw Owusu-Agyemang, Rohit Khandelwal +2
We develop a structure-preserving solution framework for the optimal control of the time-dependent Maxwell's equations. Building on a well-posedness theory for a weak form of the f…
math.OC2026
An online adaptive finite-element method for nonsmooth PDE-constrained optimization
Harbir Antil, Robert J. Baraldi, Rohit Khandelwal +1
We present a trust-region-based adaptive finite-element algorithm for numerically solving a class of nonsmooth PDE-constrained optimization problems that includes problems with spa…