The classical panel method has been extensively used in external aerodynamics to calculate ideal flow fields around moving vehicles or stationary structures in unbounded domains. However, the panel method, as a somewhat simpler implementation of the boundary element method, has rarely been employed to solve problems in closed complex domains. This paper aims at filling this gap and discusses th...

Part I of this paper presented a systematic derivation the Stokes–Dirac structure underlying port-Hamiltonian model ideal fluid flow on Riemannian manifolds. Starting from group diffeomorphisms as configuration space for fluid, is derived by Poisson reduction and then augmented boundary ports distributed ports. The additional have been shown to appear naturally surface terms in pairings dual ma...

Gu map-1 is a modified version of GGH map. It uses same ideal lattices for constructing the trapdoors, while the novelty is that no encodings of zero are given. In this short paper we show that Gu map-1 cannot be used for the instance of witness encryption (WE) based on the hardness of 3-exact cover problem. That is, if Gu map-1 is used for such instance, we can break it by soving a combined 3-...