We present a mathematical framework for the active control of time-harmonic acoustic disturbances. Unlike many existing methodologies, our approach provides for the exact volumetric cancellation ofâ€¦ (More)

The problem of active shielding (AS) for a multiply connected domain consists of constructing additional sources of the field (e.g., acoustic) so that all individual subdomains can either communicateâ€¦ (More)

We propose new global arti cial boundary conditions (ABCs) for computation of ows with propulsive jets. The algorithm is based on application of the di erence potentials method (DPM). Previously,â€¦ (More)

We formulate and solve a control problem for the field (e.g., time-harmonic sound) governed by a linear PDE or system on a composite domain in Rn. Namely, we require that simultaneously andâ€¦ (More)

The method of difference potentials (DPM) is an efficient tool for the numerical solution of PDEs that typically arise in mathematical physics. It was first introduced by the author in his Doctor ofâ€¦ (More)