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math.NA2023
A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints
Susanne C. Brenner, Jose C. Garay, Li-yeng Sung
We construct and analyze a multiscale finite element method for an elliptic distributed optimal control problem with pointwise control constraints, where the state equation has rou…
math.AP2023
A semi-periodic initial-value problem for the Kadomtsev-Petviashvili II equation
P. Kalamvokas, V. G. Papageorgiou, A. S. Fokas +1
We investigate the Cauchy problem on the cylinder, namely the semi-periodic problem where there is periodicity in the -direction and decay in the -direction, for the Kadomtse…