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math.NA2025
Adaptive SIPG method for approximations of boundary control problems governed by parabolic PDEs
Ram Manohar, B. V. Rathish Kumar, Kedarnath Buda +1
This study presents an aposteriori error analysis of adaptive finite element approximations of parabolic boundary control problems with bilateral box constraints that act on a Neum…
math.NA2025
Optimal control of fractional Poisson equation from non-local to local
Ram Manohar, Kedarnath Buda, B. V. Rathish Kumar
In this article, the limiting behavior of the solution of the optimal control problem subjected to the fractional Poisson equation $$(-Î)^s u_s(x)=f_s(x), \quad x\in Ω…