Our goal is to formally verify work begun by Gollamudi and Chong, who introduce ImpE, a security-typed calculus that models low-level imperative programs that can directly use enclaves (a sort of private memory region), and provide a translation from a higher-level, enclave-agnostic calculus, ImpS, to ImpE [1]. Our project naturally falls into two parts: proving that every well-typed program in...

Mild cognitive impairment (MCI) can be the initial manifestation of autoimmune limbic encephalitis (ALE), a disorder that at times presents a diagnostic challenge. In addition to memory impairment, clinical features that might suggest this disorder include personality changes, agitation, insomnia, alterations of consciousness, and seizures. Once recognized, ALE typically responds to treatment w...

Abstract. This work is concerned with the simulation of compressible flow in time dependent domains. We present an ALE (Arbitrary Lagrangian-Eulerian) formulation of the Navier-Stokes equations describing compressible flow, discretize them in space by the discontinous Galerkin method and introduce a semi-implicit linearized time stepping for the numerical solution of the complete problem. We pr...

We consider a monolithic scheme for fluid–structure interaction problems involving an incompressible quasi-Newtonian fluid. The monolithic formulation is obtained using the Arbitrary Lagrangian Eulerian (ALE) method with matching conditions at the fluid–structure interface. The stability and error analysis are performed for the finite element approximation. Finally, some numerical experiments t...

In this paper, a monolithic arbitrary Lagrangian–Eulerian (ALE)-finite element method (FEM) is developed based upon novel ALE mapping for type of parabolic/mixed parabolic moving interface problem with jump coefficients. A stable Stokes-pair mixed FEM within specific stabilization technique and time-difference scheme are to discretize in both semi- fully discrete fashion, which the stability er...

A large class of equivalence relations between the moduli spaces of instantons on ALE spaces and the Higgs branches of supersymmetric Yang-Mills theories, are found by means of a certain kind of duality transformation between brane configurations in superstring theories. 4d, N=2 and 5d, N=1 supersymmetric gauge theories with product gauge groups turn out to correspond to the ALE-instanton modul...