Publications related to Direct method in the calculus of variations

Variational minimization of orbital-density-dependent functionals

Nicola Marzari, Giovanni Borghi, Andrea Ferretti

Orbital-density-dependent functionals, such as the Perdew-Zunger or the Koopmans-compliant functionals, are used to remove unphysical self-interaction energies and to restoremissing piece-wise linearity in approximate formulations of density-functional the ...

Amer Physical Soc2015

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Alfio Quarteroni, Luca Dede', Claudia Maria Colciago

In this paper, we propose the mathematical and finite element analysis of a second-order partial differential equation endowed with a generalized Robin boundary condition which involves the Laplace--Beltrami operator by introducing a function space $H^1(\O ...

Society for Industrial and Applied Mathematics2015

Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

Maria Colombo

In this paper we make a survey of some recent developments of the theory of Sobolev spaces W-1,W-q (X, d, m), 1 < q < infinity, in metric measure spaces (X, d, m). In the final part of the paper we provide a new proof of the reflexivity of the Sobolev spac ...

2015

Towards Virtual Testing of Textile Composites: Calibration of Thermoelastic Tow Properties

Varun Parameswaran Rajan

We present a methodology for calibrating the thermoelastic properties of constituent tows in a woven C/SiC composite using a combination of experimental measurements and finite element simulations of strain distributions that arise upon heating. Because of ...

Wiley-Blackwell2014

Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation

The aim of this paper is to propose for the first time a reconstruction scheme and a stability result for recovering from acousto-optic data absorption distributions with bounded variation. The paper extends earlier results in [3] and [5] on smooth absorpt ...

Academic Press Inc Elsevier Science2014

Odd linking and bifurcation in gaps: the weakly indefinite case

In this paper, we consider nonlinear Schrodinger equations of the following type: -Delta u(x) + V (x) u(x) -q(x)|u(x)|sigma u(x) =lambda u(x), x is an element of R-N, u is an element of H-1(R-N) \ {0}, where N >= 2 and sigma > 0. We concentrate on situatio ...

Royal Society of Edinburgh Scotland Foundation, Cambridge2013

A High–Performance Parallel Implementation of the Chambolle Algorithm

David Atienza Alonso, Abdulkadir Akin, Ivan Beretta, Alessandro Antonio Nacci

The determination of the optical flow is a central problem in image processing, as it allows to describe how an image changes over time by means of a numerical vector field. The estimation of the optical flow is however a very complex problem, which has be ...

ACM and IEEE Press2011

An optimal first-order solver for the TV-$L_1$ optical flow problem

Pierre Vandergheynst, Gilles Puy, Emmanuel D'Angelo

In this study, we address the problem of computing efficiently a dense optical flow between two images under a total variation (TV) regularization and an

L_1

norm data fidelity constraint using a variational method. We build upon Nesterov's framework for ...

2010

Frame Domain Signal Processing: Framework and Applications

Martin Vetterli, Amina Chebira

Besides basis expansions, frames representations play a key role in signal processing. We thus consider the problem of frame domain signal processing, which is more complex and challenging than transform domain processing. Examples of such processing aboun ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Hicksian Welfare Measures and the Normative Endowment Effect

Thomas Alois Weber

We show that the Hicksian welfare measures of compensating variation and equivalent variation coincide if one of them is evaluated at a compensated income. The measures are nondecreasing in income if the varied attribute and income are complementary, and i ...

2010

Direct method in the calculus of variations

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Variational minimization of orbital-density-dependent functionals

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

Towards Virtual Testing of Textile Composites: Calibration of Thermoelastic Tow Properties

Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation

Odd linking and bifurcation in gaps: the weakly indefinite case

A High–Performance Parallel Implementation of the Chambolle Algorithm

An optimal first-order solver for the TV-$L_1$ optical flow problem

Frame Domain Signal Processing: Framework and Applications

Hicksian Welfare Measures and the Normative Endowment Effect

Variational minimization of orbital-density-dependent functionals

Odd linking and bifurcation in gaps: the weakly indefinite case

A High–Performance Parallel Implementation of the Chambolle Algorithm

Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation

Frame Domain Signal Processing: Framework and Applications

Towards Virtual Testing of Textile Composites: Calibration of Thermoelastic Tow Properties

An optimal first-order solver for the TV-$L_1$ optical flow problem

Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Hicksian Welfare Measures and the Normative Endowment Effect