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math.NA2021
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution
Julian Henning, Davide Palitta, Valeria Simoncini +1
We introduce a very weak space-time variational formulation for the wave equation, prove its well-posedness (even in the case of minimal regularity) and optimal inf-sup stability.…
math.OC2021★ 2 cited
State-dependent Riccati equation feedback stabilization for nonlinear PDEs
Alessandro Alla, Dante Kalise, Valeria Simoncini
The synthesis of suboptimal feedback laws for controlling nonlinear dynamics arising from semi-discretized PDEs is studied. An approach based on the State-dependent Riccati Equatio…