In this work, we investigate the performance CutFEM as a high fidelity solver well construct competent and economical reduced order for PDE-constrained optimization problems in parametrized domains that live fixed background geometry mesh. Its effectiveness reliability will be assessed through its application numerical solution of quadratic with elliptic equations constraints, examining an arch...

In this paper, we show how to efficiently achieve thermal cloaking from a computational standpoint in several virtual scenarios by controlling distribution of active heat sources. We frame problem the setting PDE-constrained optimization, where reference field is solution time-dependent equation absence object cloak. The optimal control then aims at actuating space–time so that outside obstacle...

Abstract We devise a method for nonlinear time-dependent partial-differential-equation-constrained optimization problems that uses spectral-in-time representation of the residual, combined with Newton–Krylov to drive residual zero. also propose preconditioner accelerate this scheme. Numerical results indicate can achieve fast and accurate solution range mesh sizes problem parameters. The number...