Publications related to Volume element

An in-situ 3D micro-XRD investigation of water uptake by alkali-silica-reaction (ASR) product

Solène Anne-Lise Albinski, Mahdieh Shakoorioskooie

The ASR products in concrete have various chemical compositions. It is yet unclear whether and how these products develop micro-expansion upon moisture ingress. This paper presents a 3D in-situ observation of the crystallography and volume change of an ASR ...

Pergamon-Elsevier Science Ltd2021

Buckling of pressurized spherical shells containing a through-thickness defect

Pedro Miguel Nunes Pereira de Almeida Reis, Matteo Pezzulla, Dong Yan

We present a study on the pressure buckling of thin, elastic spherical shells containing a thickness defect. Methodologically, we combine precision model experiments, finite element simulations, and a reduced axisymmetric shell model. We observe qualitativ ...

PERGAMON-ELSEVIER SCIENCE LTD2020

Water retention behaviour of compacted bentonites: experimental observations and constitutive model

Anne-Catherine Adolphine M Dieudonné

Bentonite-based materials are studied as potential barriers for the geological disposal of radioactive waste. In this context, the hydro-mechanical behaviour of the engineered barrier is first characterized by free swelling conditions followed by constant ...

EDP Sciences2016

On a Lagrangian Formulation of the Incompressible Euler Equation

Hasan Inci

In this paper we show that the incompressible Euler equation on the Sobolev space H-s(R-n), s> n/2+1, can be expressed in Lagrangian coordinates as a geodesic equation on an infinite dimensional manifold. Moreover the Christoffel map describing the geodesi ...

Global Science Press2016

Quantum anomalies and logarithmic derivatives of feynman pseudomeasures

Tudor Ratiu

Connections between quantum anomalies and transformations of pseudomeasures of the type of Feynman pseudomeasures are studied. Mathematical objects related to the notion of the volume element in an infinite-dimensional space considered in the physics liter ...

Springer Verlag2015

Numerical methods for nanophotonics: standard problems and future challenges

Olivier Martin, Benjamin Gallinet, Jérémy Butet

Nanoscale photonic systems involve a broad variety of light-matter interaction regimes beyond the diffraction limit and have opened the path for a variety of application opportunities in sensing, solid-state lighting, light harvesting, and optical signal p ...

Wiley-VCH Verlag Berlin2015

Some New Results On Differential Inclusions For Differential Forms

Bernard Dacorogna, Olivier Kneuss, Saugata Bandyopadhyay

In this article we study some necessary and sufficient conditions for the existence of solutions in W-0(1,infinity) (Omega; Lambda(k)) of the differential inclusion d omega is an element of E a.e. in Omega where E subset of Lambda(k+1) is a prescribed set. ...

Amer Mathematical Soc2015

Estimates for the topological degree and related topics

Hoài-Minh Nguyên

This is a survey paper on estimates for the topological degree and related topics which range from the characterizations of Sobolev spaces and BV functions to the Jacobian determinant and nonlocal filter problems in Image Processing. These results are obta ...

Springer Basel Ag2014

Principal Polynomial Analysis

Devis Tuia

This paper presents a new framework for manifold learning based on a sequence of principal polynomials that capture the possibly nonlinear nature of the data. The proposed Principal Polynomial Analysis (PPA) generalizes PCA by modeling the directions of ma ...

World Scientific Publ Co Pte Ltd2014

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

Assyr Abdulle

In this paper Monte Carlo finite element approximations for elliptic homogenization problems with random coefficients, which oscillate on n is an element of N a priori known, separated microscopic length scales, are considered. The convergence of multileve ...

2013

Optical force sensing element and microsurgical instrument

Simon Nessim Henein

The present invention related to an optical force sensing element for microsurgical instruments (22), for measuring force F in three orthogonal directions x, y, z, comprising a monolithic cylinder structure (1), a cylindrical surface (4) and a top surface ...

Sensoptic SA Losone2013

Pre-selection of optical transitions in rare-earth ions in crystals perspective for quantum information processing

Serguei Sekatski

A systematic analysis of decoherence rates due to electron-phonon interactions for optical transitions of rare-earth dopant ions in crystals is presented in the frame of the point charge model. For this model, the large value of any one of the matrix eleme ...

Taylor & Francis2012

Scalable Feature Extraction for Coarse-to-Fine JPEG2000 Image Classification

Pierre Vandergheynst, Christophe De Vleeschouwer, Benoît Macq

In this paper, we address the issues of analyzing and classifying JPEG 2000 code-streams. An original representation, called integral volume, is first proposed to compute local image features progressively from the compressed code-stream, on any spatial im ...

Institute of Electrical and Electronics Engineers2011

Temperature Effects on Volume Change and Hydraulic Properties of Geosynthetic Clay Liners

Lyesse Laloui

As geosynthetic clay liners (GCLs) are becoming integral components of modern municipal solid waste landfill lining systems, increased interest is directed at investigating their behaviour under different environmental stresses such temperature, chemical c ...

Industrial Fabrics Association International (IFAI)2008

Mechanical testing in unsaturated soils

Lyesse Laloui

The state-of-the-art report presented herein is aimed at documenting, to the largest extent possible, some of the recent advances in laboratory testing of unsaturated soils for stress-strain-strength-stiffness characterization under suction-controlled isot ...

2008

Some linear and nonlinear problems involving differential forms

Saugata Bandyopadhyay

In this thesis, we study some linear and nonlinear problems involving differential forms. We begin by studying the problem of pullbacks which asks the following question: for two given differential forms, if one is the pullback of the other via a diffeomor ...

EPFL2007

Efficient algorithms for the k-distance transformation

Olivier Cuisenaire

The k-distance transformation (k-DT) computes the k nearest patterns from each location on a discrete regular grid within a D dimensional volume, which Warfield [Patt. Rec. Letters, 17(1996) 713-721] proposed to implement using 2^D raster scans. We investi ...

2006