Concept

Poisson's equation

Related publications (66)

An octree-based adaptive semi-Lagrangian VOF approach for simulating the displacement of free surfaces

Marco Picasso, Gilles Steiner, Viljami Henrikki Laurmaa

A numerical method based on an adaptive octree space discretization for the simulation of displacement of free surfaces is proposed and applied to 3D free surface flow problems. A VOF approach is combined with a mass-conserving semi-Lagrangian time-steppin ...

Elsevier2016

Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

Michaël Unser, John Paul Ward

Motivated by the interior tomography problem, we propose a method for exact reconstruction of a region of interest of a function from its local Radon transform in any number of dimensions. Our aim is to verify the feasibility of a one-dimensional reconstru ...

Siam Publications2015

On multiscale methods in Petrov-Galerkin formulation

Patrick Henning

In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional multisca ...

Springer Heidelberg2015

Fano resonances in the nonlinear optical response of coupled plasmonic nanostructures

Olivier Martin, Jérémy Butet

The coupling between metallic nanostructures is a common and easy way to control the optical properties of plasmonic systems. Even though the coupling between plasmonic oscillators has been widely studied in the linear regime, its influence on the nonlinea ...

Optical Society of America2014

Mechanisms of Fano Resonances in Coupled Plasmonic Systems

Olivier Martin, Andrea Lovera, Benjamin Gallinet

Fano resonances in hybridized systems formed from the interaction of bright modes only are reported. Despite precedent works, we demonstrate theoretically and experimentally that Fano resonances can be obtained by destructive interference between two brigh ...

Amer Chemical Soc2013

Detecting the trapping of small metal nanoparticles in the gap of nanoantennas with optical second harmonic generation

Olivier Martin, Andrea Lovera, Jérémy Butet

The second harmonic generation from gold nanoparticles trapped into realistic and idealized gold nanoantennas is numerically investigated using a surface integral equations technique. It is observed that the presence of a nanoparticle in the nanoantenna ga ...

Optical Society of America2013

On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods

Juan Ramon Mosig

A stable and efficient numerical scheme for the evaluation of surface integrals with 1/R-3-type singularities is presented. The method is based on the combination of the direct evaluation method and the singularity subtraction technique. The proposed metho ...

Elsevier2013

Analytical model for ultra-thin body junctionless symmetric double gate MOSFETs in subthreshold regime

Jean-Michel Sallese, Farzan Jazaeri, Adil Koukab, Lucian Barbut

In this paper, we propose an approximate solution to solve the two dimensional potential distribution in ultra-thin body junctionless double gate MOSFET (JL DG MOSFET) operating in the subthreshold regime. Basically, we solved the 2D-Poisson equation along ...

Elsevier2013

A Common Core Model for Junctionless Nanowires and Symmetric Double Gate FETs

Jean-Michel Sallese, Farzan Jazaeri, Lucian Barbut, Christophe Lallement

In this brief, we evidence the link between planar and cylindrical junctionless FETs from the electrostatics point of view. In particular, we show that an approximate solution of the Poisson-Boltzmann equation for junctionless nanowires can be mapped on th ...

Institute of Electrical and Electronics Engineers2013

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

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.