Publications related to Nonstandard analysis

Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces

We study the homogenization of the Poisson equation with a reaction term and of the eigenvalue problem associated to the generator of multiscale Langevin dynamics. Our analysis extends the theory of two-scale convergence to the case of weighted Sobolev spa ...

OXFORD UNIV PRESS2023

Quadratic serendipity element shape functions on general planar polygons

Xiaodong Wei, Juan Cao

This paper proposes a method for the construction of quadratic serendipity element (QSE) shape functions on planar convex and concave polygons. Existing approaches for constructing QSE shape functions are linear combinations of the pair-wise products of ge ...

ELSEVIER SCIENCE SA2022

Strictly Real Fundamental Theorem Of Algebra Using Polynomial Interlacing

Soham Basu

Without resorting to complex numbers or any advanced topological arguments, we show that any real polynomial of degree greater than two always has a real quadratic polynomial factor, which is equivalent to the fundamental theorem of algebra. The proof uses ...

CAMBRIDGE UNIV PRESS2021

The Almost-Sure Asymptotic Behavior Of The Solution To The Stochastic Heat Equation With Levy Noise

Carsten Hao Ye Chong

We examine the almost-sure asymptotics of the solution to the stochastic heat equation driven by a Levy space-time white noise. When a spatial point is fixed and time tends to infinity, we show that the solution develops unusually high peaks over short tim ...

INST MATHEMATICAL STATISTICS2020

Normal approximation of the solution to the stochastic heat equation with Levy noise

Carsten Hao Ye Chong

Given a sequence L & x2d9;epsilon of Levy noises, we derive necessary and sufficient conditions in terms of their variances sigma 2(epsilon) such that the solution to the stochastic heat equation with noise sigma(epsilon)-1L & x2d9;epsilon converges in law ...

SPRINGER2020

Towards the use of UHPFRC in railway bridges: the rehabilitation of Buna Bridge

Eugen Brühwiler, Dragan Damjanovic

In the last decade, Ultra High Performance Fibre Reinforced cement-based Composites (UHPFRC) have been increasingly implemented for rehabilitation and strengthening purposes, rendering outstanding results. The ease of application, along with their superior ...

CRC PRESS-TAYLOR & FRANCIS GROUP2019

Optimal errors and phase transitions in high-dimensional generalized linear models

Nicolas Macris, Jean François Emmanuel Barbier, Florent Gérard Krzakala, Lenka Zdeborová

Generalized linear models (GLMs) are used in high-dimensional machine learning, statistics, communications, and signal processing. In this paper we analyze GLMs when the data matrix is random, as relevant in problems such as compressed sensing, error-corre ...

National Academy of Sciences2019

Analysis of the interaction factor method for energy pile groups with slab

Lyesse Laloui, Elena Ravera, Melis Sütman

The design of energy pile is hampered by the complex interaction between the piles and the slab subjected to thermal loads. Although finite element analysis is used to account explicitly for the interactions, this method is mainly considered as a research ...

2019

Flexural quasi-static behaviour of UHPFRC and R-UHPFRC circular slab specimens

Eugen Brühwiler, Xiujiang Shen

This paper investigates experimentally and numerically the biaxial flexural behaviour of thin circular slab specimens made of Ultra High Performance Fibre Reinforced Cementitious Composite (UHPFRC). The circular slab specimens represent an external tensile ...

RILEM publications S.A.R.L.2017

Efficiency Factors for Plastic Design in Concrete: Influence of Brittleness in Compression, High Tech Concrete: Where Technology and Engineering Meet

Aurelio Muttoni, Francesco Rafael Alberto Moccia, Miguel Fernández Ruiz

A large number of design approaches for structural concrete rely on the applicability of limit analysis. This is for instance the case of bending and shear design in members with transverse reinforcement, where it is assumed that plastic compression fields ...

2017

Deductive Synthesis and Repair

Etienne Kneuss

In this thesis, we explore techniques for the development of recursive functional programs over unbounded domains that are proved correct according to their high-level specifications. We present algorithms for automatically synthesizing executable code, st ...

EPFL2016

Strength of reinforced concrete footings without transverse reinforcement according to limit analysis

Aurelio Muttoni, Miguel Fernández Ruiz, Duarte Miguel Viúla Faria, João Tiago Ramos Bernardo de Santa Rita Simões

Isolated footings are reinforced concrete elements whose flexural and punching shear strengths are usually governing for their design. In this work, both failure modes and their interaction are investigated by means of the kinematical theorem of limit anal ...

Engineering structures2016

Multiscattering-enhanced optical probes for biosensing

Volodymyr Koman

Although reactive oxygen species (ROS) are an inescapable part of every living organism, we are only beginning to understand their functions and mechanics. As of now, we know that ROS are involved in cell signalling, stress-response and defence against pat ...

EPFL2015

Research and developments-where people are exposed to nanomaterials

Thierry Meyer, Chantal Imhof

Objectives: Many nanomaterials (materials with structures smaller than 100 nm) have chemical, physical and bioactive characteristics of interest for novel applications. Considerable research efforts have been launched in this field. This study aimed to stu ...

2015

Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

Fabio Nobile, Giovanni Migliorati

Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate functions based on random sampling according to a given probability measure. Recent work has shown that ...

2015

Compact Low-Power Cortical Recording Architecture for Compressive Multichannel Data Acquisition

Pierre Vandergheynst, Alexandre Schmid, Mahsa Shoaran, Mahdad Hosseini Kamal

This paper introduces an area- and power-efficient approach for compressive recording of cortical signals used in an implantable system prior to transmission. Recent research on compressive sensing has shown promising results for sub-Nyquist sampling of sp ...

2014

Non-linear magnetic perturbations during edge-localized modes in TCV dominated by low n mode components

Olivier Sauter, Holger Reimerdes, Hartmut Zohm

Edge-localized modes (ELMs) are instabilities in the edge of tokamak plasmas in the high confinement regime (H-mode). Despite beneficial aspects of ELMs, in a future device the size of the energy loss per ELM must be controlled, in order to avoid intolerab ...

IOP Publishing Ltd2013

Refractive Index Sensing with Subradiant Modes: A Framework To Reduce Losses in Plasmonic Nanostructures

Olivier Martin, Benjamin Gallinet

Plasmonic modes with long radiative lifetimes, subradiant modes, combine strong confinement of the electromagnetic energy at the nanoscale with a steep spectral dispersion, which makes them promising for biochemical sensors or immunoassays. Subradiant mode ...

2013

Development of electroacoustic absorbers as soundproofing solutions for industrial ventilation systems

Hervé Lissek, Etienne Thierry Jean-Luc Rivet, Victor Desarnaulds

In many industrial environments, room and cavity modes may severely strengthen the annoyance of low frequency noises, such as in ventilation equipments. Moreover, there is an obvious technological gap in the state-of-the-art relative to low-frequency sound ...

2013

Modélisation physique et analyse numérique de la propagation d'une masse granulaire : contribution à l'étude des avalanches rocheuses

Claire Sauthier

Rock avalanches are processes involving a huge amount of mobilised material, larger than 106 m3, and their propagation is characterised by a very high energy, such that no active mitigation measure is capable of protecting human lives and properties potent ...

EPFL2012