Concept
Nonstandard analysis
Related publications (33)
From concrete waste to walls An investigation of reclamation and digital technologies for new load-bearing structures
Corentin Jean Dominique Fivet, Stefana Parascho, Maxence Grangeot
Our research explores opportunities in using unaltered concrete rubbles from demolition for the digital construction of structural walls. Through research by iterative making, we identify relevant upcycling processes and design strategies and explore new t ...
2023Homogenization 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 PRESS2023Quadratic serendipity element shape functions on general planar polygons
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 SA2022Strictly Real Fundamental Theorem Of Algebra Using Polynomial Interlacing
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 PRESS2021Numerical back-analysis & future risk assessment of the Hirschigraben landslide(s)
The 1987 Hirschigrabe landslide was triggered by a rain intensive period and formed a natural dam to the Zulg river. The natural dam did not break and as such, only the uncertainties concerning the security of some houses within the surrounding settlement ...
2020The Almost-Sure Asymptotic Behavior Of The Solution To The Stochastic Heat Equation With Levy Noise
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 STATISTICS2020Normal approximation of the solution to the stochastic heat equation with Levy noise
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 ...
SPRINGER2020Towards 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 GROUP2019Optimal errors and phase transitions in high-dimensional generalized linear models
Nicolas Macris, Florent Gérard Krzakala, Lenka Zdeborová, Jean François Emmanuel Barbier
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 ...
PNAS2019Analysis 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