Publications related to Discrete two-point space

An adaptive space-time algorithm for the incompressible Navier-Stokes equations

A space-time adaptive algorithm is presented to solve the incompressible Navier-Stokes equations. Time discretization is performed with the BDF2 method while continuous, piecewise linear anisotropic finite elements are used for the space discretization. Th ...

Academic Press Inc Elsevier Science2023

Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to a-synuclein spreading in Parkinson's disease

Alfio Quarteroni, Francesca Bonizzoni

This spreading of prion proteins is at the basis of brain neurodegeneration. This paper deals with the numerical modelling of the misfolding process of a-synuclein in Parkinson's disease. We introduce and analyse a discontinuous Galerkin method for the sem ...

Elsevier Science Sa2023

An intergrid transfer operator using radial basis functions with application to cardiac electromechanics

Alfio Quarteroni

In the framework of efficient partitioned numerical schemes for simulating multiphysics PDE problems, we propose using intergrid transfer operators based on radial basis functions to accurately exchange information among different PDEs defined in the same ...

SPRINGER2020

Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Fabio Nobile, Erik Gustaf Bogislaw Von Schwerin

We perform a general optimization of the parameters in the multilevel Monte Carlo (MLMC) discretization hierarchy based on uniform discretization methods with general approximation orders and computational costs. We optimize hierarchies with geometric and ...

2016

Digital acoustics: processing wave fields in space and time using DSP tools

Martin Vetterli, Mihailo Kolundzija, Francisco Pereira Correia Pinto

Systems with hundreds of microphones for acoustic field acquisition, or hundreds of loudspeakers for rendering, have been proposed and built. To analyze, design, and apply such systems requires a framework that allows us to leverage the vast set of tools a ...

2014

Anisotropic Error Estimates And Space Adaptivity For A Semidiscrete Finite Element Approximation Of The Transient Transport Equation

Marco Picasso

A stabilized semidiscrete finite element discretization of the transient transport equation is studied in the framework of anisotropic meshes. A priori and a posteriori error estimates are derived, the involved constants being independent of the mesh aspec ...

Siam Publications2013

Applications of short space-time Fourier analysis in digital acoustics

Martin Vetterli, Francisco Pereira Correia Pinto

This paper presents a signal processing tool for analyzing and manipulating digitized acoustic wave fields, based on a spatio-temporal extension of the time-frequency representation space. The emphasis is on wave fields acquired with a 1-D linear array of ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Space/time-frequency processing of acoustic wave fields: theory, algorithms, and applications

Martin Vetterli, Francisco Pereira Correia Pinto

Consider a nonparametric representation of acoustic wave fields that consists of observing the sound pressure along a straight line or a smooth contour L defined in space. The observed data contains implicit information of the surrounding acoustic scene, b ...

Institute of Electrical and Electronics Engineers2010

Signal Processing in Space and Time : A Multidimensional Fourier Approach

Francisco Pereira Correia Pinto

Sound waves propagate through space and time by transference of energy between the particles in the medium, which vibrate according to the oscillation patterns of the waves. These vibrations can be captured by a microphone and translated into a digital sig ...

EPFL2010

An Anisotropic Error Estimator For The Crank-Nicolson Method: Application To A Parabolic Problem

Marco Picasso, Virabouth Prachittham

In this paper we derive two a posteriori upper bounds for the heat equation. A continuous, piecewise linear finite element discretization in space and the Crank-Nicolson method for the time discretization are used. The error due to the space discretization ...

2009

Source coding in sensor networks

Robert Konsbruck

Wireless sensor networks have emerged as versatile tools to monitor the evolution of physical fields over large areas by means of self-powered and low-cost sensing devices. Although their development was originally motivated by military applications, they ...

EPFL2009

Non-linear model and finite element simulation of the selective laser sintering process

Serguei Kolossov

This work is dedicated to research on the Selective Laser Sintering (SLS) process. The problem has been intensively investigated by many research groups. A number of physical phenomena observed in SLS are studied. There is, however, no comprehensive unders ...

EPFL2005