Publications related to The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

One-Dimensional "Ghost Imaging" in Electron Microscopy of Inelastically Scattered Electrons

Fabrizio Carbone, Giovanni Maria Vanacore, Ivan Madan, Ido Kaminer, Simone Gargiulo, Ebrahim Karimi

Entanglement and correlation are at the basis of quantummechanicsand have been used in optics to create a framework for "ghostimaging". We propose that a similar scheme can be used in anelectron microscope to exploit the correlation of electrons with theco ...

AMER CHEMICAL SOC2023

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Xavier Fernandez-Real Girona

We investigate the regularity of the free boundary for the Signorini problem in Rn+1. It is known that regular points are (n−1)-dimensional and C∞. However, even for C∞ obstacles φ, the set of non-regular (or degenerate) points could be very large—e.g. wit ...

2021

A p-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids

Qian Wang

This paper presents an accuracy-preserving p-weighted limiter for discontinuous Galerkin methods on one-dimensional and two-dimensional triangular grids. The p-weighted limiter is the extension of the second-order WENO limiter by Li et al. [W. Li, J. Pan a ...

2020

Contact process under renewals II

We continue the study of renewal contact processes initiated in a companion paper, where we showed that if the tail of the interarrival distribution mu is heavier than t(-alpha) for some alpha < 1 (plus auxiliary regularity conditions) then the critical va ...

ELSEVIER2020

From Tarski's Plank Problem to Simultaneous Approximation

János Pach, Andrei Kupavskii

A slab (or plank) is the part of the d-dimensional Euclidean space that lies between two parallel hyperplanes. The distance between the these hyperplanes is called the width of the slab. It is conjectured that the members of any infinite family of slabs wi ...

Mathematical Assoc Amer2017

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

Alfio Quarteroni, Simone Deparis, Davide Forti

We are interested in the approximation of partial differential equations on domains decomposed into two (or several) subdomains featuring non-conforming interfaces. The non-conformity may be due to different meshes and/or different polynomial degrees used ...

Elsevier2016

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces

Alfio Quarteroni, Simone Deparis, Davide Forti

We are interested in the approximation of partial differential equations on domains decomposed into two (or several) subdomains featuring non-conforming interfaces. The non-conformity may be due to different meshes and/or different polynomial degrees used ...

MATHICSE2015

Exponential convergence of the hp version of isogeometric analysis of 1D

Annalisa Buffa

We establish exponential convergence of the hp-version of isogeometric analysis for second order elliptic problems in one spacial dimension. Specifically, we construct, for functions which are piecewise analytic with a finite number of algebraic singularit ...

Springer, Cham2014

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

Jean-François Molinari, Guillaume Anciaux, Srinivasa Babu Ramisetti

We present a novel method to couple molecular dynamics with finite elements at finite temperatures using spatial filters. The mismatch in the dispersion relations between continuum and atomistic models leads, at finite temperature, to unwanted mesh vibrati ...

Wiley-Blackwell2014

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

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One-Dimensional "Ghost Imaging" in Electron Microscopy of Inelastically Scattered Electrons

Localization errors of the stochastic heat equation

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

A p-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids

Contact process under renewals II

From Tarski's Plank Problem to Simultaneous Approximation

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces

Exponential convergence of the hp version of isogeometric analysis of 1D

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

Localization errors of the stochastic heat equation

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

One-Dimensional "Ghost Imaging" in Electron Microscopy of Inelastically Scattered Electrons

A p-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids

Contact process under renewals II

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

Exponential convergence of the hp version of isogeometric analysis of 1D

A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems

From Tarski's Plank Problem to Simultaneous Approximation