The first law of black hole mechanics (in the form derived by Wald), is expressed in terms of integrals over surfaces, at the horizon and spatial infinity, of a stationary, axisymmetric black hole, in a diffeomorphism invariant Lagrangian theory of gravity. The original statement of the first law given by Bardeen, Carter and Hawking for an Einstein-perfect fluid system contained, in addition, v...

The rst law of black hole mechanics (in the form derived by Wald), is expressed in terms of integrals over surfaces, at the horizon and spatial in nity, of a stationary, axisymmetric black hole, in a di eomorphism invariant Lagrangian theory of gravity. The original statement of the rst law given by Bardeen, Carter and Hawking for an Einstein-perfect uid system contained, in addition, volume in...

We present a new cell-centered multi-material Arbitrary Lagrangian Eulerian (ALE) scheme to solve the compressible gaz dynamics equations on two-dimensional unstructured grid. Our ALE method is of the explicit time-marching Lagrange plus remap type. Namely, it involves the following three phases: a Lagrangian phase wherein the flow is advanced using a cell-centered scheme; a rezone phase in whi...

We bosonize the Massive Thirring Model in 3+1D for small coupling constant and arbitrary mass. The bosonized action is explicitly obtained both in terms of a Kalb-Ramond tensor field as well as in terms of a dual vector field. An exact bosonization formula for the current is derived. The small and large mass limits of the bosonized theory are examined in both the direct and dual forms. We final...

This paper contributes to a recently proposed Arbitrary Lagrangian–Eulerian Modal (ALEM) approach that makes it possible develop finite elements with variable volume suitable for modeling wire-ropes in reeving systems. Reeving systems often include motors continuously modify the total mechanical energy. If energy dissipation is omitted or underestimated computations, numerical solution may expe...

Abstract In this work a finite element-based model for analyzing incompressible flows in flexible channels is presented. The treats the fluid–solid interaction problem monolithic way, where governing equations both sub-domains are solved on single moving grid taking advantage of an arbitrary Lagrangian/Eulerian framework (ALE). unified implementation developed, these distinguished only terms me...

We propose an inexact proximal augmented Lagrangian framework with explicit inner problem termination rule for composite convex optimization problems. consider arbitrary linearly convergent solver including in particular stochastic algorithms, making the resulting more scalable facing ever-increasing dimension. Each subproblem is solved inexactly and self-adaptive stopping criterion, without re...