Publications associées à Analyse non standard

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