Publications related to Local nonreflecting boundary condition for time-dependent multiple scattering

A methodology for the rigorous verification of Particle-in-Cell simulations

Paolo Ricci, Fabio Riva, Carrie Fiona Beadle

A methodology to perform a rigorous verification of Particle-in-Cell (PIC) simulations is presented, both for assessing the correct implementation of the model equations (code verification), and evaluating the numerical uncertainty affecting the simulation ...

American Institute of Physics2017

A methodology for the rigorous verification of plasma simulation codes

Paolo Ricci, Joaquim Loizu Cisquella, Paola Paruta, Sébastien Jolliet, Federico David Halpern, Fabio Riva, Annamaria Mosetto, Christoph Wersal, Carrie Fiona Beadle

A methodology to perform a rigorous verification of Particle-in-Cell (PIC) simulations is presented, both for assessing the correct implementation of the model equations (code verification), and evaluating the numerical uncertainty affecting the simulation ...

2017

Perturbative and non-perturbative aspects of RG flows in quantum field theory

Lorenzo Vitale

This thesis explores two aspects of the renormalization group (RG) in quantum field theory (QFT). In the first part we study the structure of RG flows in general Poincaré-invariant, unitary QFTs, and in particular the irreversibility properties and the rel ...

EPFL2016

Impact of axions on confinement in three and two dimensions

In this paper we discuss well-known three- and two-dimensional models with confinement, namely, the Polyakov compact electrodynamics in 3D and two-dimensional CP(N-1) sigma model, and reveal changes in the confining regimes of these models upon adding the ...

Amer Physical Soc2015

Reduced Basis method for Isogeometric Analysis: application to structural problems

Marina Rinaldi

Isogeometric Analysis (IGA) is a computational methodology for the numerical approximation of Partial Differential Equations (PDEs). IGA is based on the isogeometric concept, for which the same basis functions, usually Non-Uniform Rational B-Splines (NURBS ...

2015

On the energy dissipation rate of solutions to the compressible isentropic Euler system

Elisabetta Chiodaroli

In this paper we extend and complement the results in [4] on the well-posedness issue for weak solutions of the compressible isentropic Euler system in 2 space dimensions with pressure law

p(\rho) = \rho^\gamme, \geq 1

. First we show that every Riemann p ...

Springer Verlag2014

Nondispersive solutions to the $L^2$-critical half-wave equation

Joachim Krieger

We consider the focusing

L^2

-critical half-wave equation in one space dimension

i \partial_t u = D u - |u|^2 u,

where

D

denotes the first-order fractional derivative. Standard arguments show that there is a critical threshold

M_* > 0

such that all ...

Springer Verlag2013

Global dynamics away from the ground state for the energy-critical nonlinear wave equation

Joachim Krieger

We study global behavior of radial solutions for the nonlinear wave equation with the focusing energy critical nonlinearity in three and five space dimensions. Assuming that the solution has energy at most slightly more than the ground states and gets away ...

2013

Stochastic system controller synthesis for reachability specifications encoded by random sets

Maryam Kamgarpour, John Lygeros

We consider a reach–avoid specification for a stochastic hybrid dynamical system defined as reaching a goal set at some finite time, while avoiding an unsafe set at all previous times. In contrast with earlier works which consider the target and avoid sets ...

2013

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Adelmo Cristiano Innocenza Malossi

The aim of this work is the development of a geometrical multiscale framework for the simulation of the human cardiovascular system under either physiological or pathological conditions. More precisely, we devise numerical algorithms for the partitioned so ...

EPFL2012

Local nonreflecting boundary condition for time-dependent multiple scattering

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A methodology for the rigorous verification of Particle-in-Cell simulations

A methodology for the rigorous verification of plasma simulation codes

Perturbative and non-perturbative aspects of RG flows in quantum field theory

Impact of axions on confinement in three and two dimensions

Reduced Basis method for Isogeometric Analysis: application to structural problems

On the energy dissipation rate of solutions to the compressible isentropic Euler system

Nondispersive solutions to the $L^2$-critical half-wave equation

Global dynamics away from the ground state for the energy-critical nonlinear wave equation

Stochastic system controller synthesis for reachability specifications encoded by random sets

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Reduced Basis method for Isogeometric Analysis: application to structural problems

Impact of axions on confinement in three and two dimensions

A methodology for the rigorous verification of Particle-in-Cell simulations

On the energy dissipation rate of solutions to the compressible isentropic Euler system

Stochastic system controller synthesis for reachability specifications encoded by random sets

A methodology for the rigorous verification of plasma simulation codes

Perturbative and non-perturbative aspects of RG flows in quantum field theory

Global dynamics away from the ground state for the energy-critical nonlinear wave equation

Nondispersive solutions to the $L^2$-critical half-wave equation

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System