1. Abstract In this contribution an innovative method for shape optimization with parametrization directly on FE mesh is proposed. The major shortcomings of CAD-free parametrization are discussed and global filter techniques are presented in this context. A global filter for shape optimization with FE-parametrization is developed and applied to numerical examples of basic shapes. The influence ...

S U M M A R Y We investigate the potential advantages and pitfalls of using an irregular interface parametrization in 3-D wide-angle seismic traveltime tomography. Several synthetic tests are performed using an interface surface consisting of a mosaic of cubic B-spline surface patches and a source–receiver array designed to produce a highly variable distribution of refracted and reflected ray p...

We present a simple isospin invariant parametrization for (B → Kπ) decay amplitudes which consistently includes CP violation and (quasi-elastic) hadronic final state interactions. We find that the observed (B → Kπ) decays do not lead to a significant bound on the angle γ of the unitarity triangle. On the other hand, we claim that a sizeable CP violation asymmetry in (B± → Kπ±) rates is by no me...

An ab initio parametrization of the two-photon double ionization amplitude from an s2 subshell of an atom in a 1S state is presented and used to predict two light polarization effects on photoelectron angular distributions that do not exist in single-photon double ionization: (i) elliptic dichroism and (ii) circular dichroism at equal energy sharing. Estimates for He show large magnitudes for t...

By carrying out extensive lattice regularized diffusion Monte Carlo calculations, we study the spin and density dependence of the ground state energy for a quasi-one-dimensional electron gas, with harmonic transverse confinement and long-range 1/r interactions. We present a parametrization of the exchangecorrelation energy suitable for spin density functional calculations, which fulfills exact ...

In this paper an iterative method based on shifted Legendre polynomials is presented to obtain the approximate solutions of optimal control problems subject to integral equations. The operational matrices of integration and product of shifted Legendre polynomials for solving integral equation is employed. The methodology is based on the parametrization of control and state functions. This conve...

We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that stability implies that there exists a quadratic Lyapunov function on the state space, although this is in general infinite dimensional. We give an explicit parametrization of a finite-dimensional subset of the cone of Lyapunov functions using positive semid...

We propose several parametrization-free solutions to the problem of quantum state reduction control by means of continuous measurement and smooth quantum feedback. In particular, we design a feedback law for which almost global stochastic feedback stabilization can be proved analytically by means of Lyapunov techinques. This synthesis arises very naturally from the physics of the problem, as it...

Based on reduced-order causal observer-based controllers for singular systems, a new state-space realization of Bezout factorization composed of all proper stable transfer functions is established. The resulting parametrization of all causal properly stabilizing controllers is characterized. The relationships among the Bezout factorization in the present paper and the previous results are also ...

We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of (2א+ 1) quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then completely parametrize the class of (2א+1)-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain. ...