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math.OC2025
Preconditioning transformations of adjoint systems for evolution equations
Brian K. Tran, Ben S. Southworth, Hannah F. Blumhoefer +1
Achieving robust control and optimization in high-fidelity physics simulations is extremely challenging, especially for evolutionary systems whose solutions span vast scales across…
math.OC2024★ 4 cited
On Properties of Adjoint Systems for Evolutionary PDEs
Brian K. Tran, Ben S. Southworth, Melvin Leok
We investigate the geometric structure of adjoint systems associated with evolutionary partial differential equations at the fully continuous, semi-discrete, and fully discrete lev…