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

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

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

Local discontinuous Galerkin methods for fractional diffusion equations

Jan Sickmann Hesthaven

We consider the development and analysis of local discontinuous Galerkin methods for fractional diffusion problems in one space dimension, characterized by having fractional derivatives, parameterized by beta in [1,2]. After demonstrating that a classic ap ...

EDP Sciences2013

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

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

Maria Colombo

We prove that solutions of a mildly regularized Perona–Malik equation converge, in a slow time scale, to solutions of the total variation flow. The convergence result is global-in-time, and holds true in any space dimension. The proof is based on the gener ...

2012

On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods

Fabio Nobile, Lorenzo Tamellini

In this work we focus on the numerical approximation of the solution u of a linear elliptic PDE with stochastic coefficients. The problem is rewritten as a parametric PDE and the functional dependence of the solution on the parameters is approximated by mu ...

World Scientific Publ Co Pte Ltd2012

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

An adaptive finite-volume method for a model of two-phase pedestrian flow

Ricardo Esteban Ruiz Baier

A flow composed of two populations of pedestrians moving in different directions is modeled by a two-dimensional system of convection-diffusion equations. An efficient simulation of the two-dimensional model is obtained by a finite-volume scheme combined w ...

American Institute of Mathematical Sciences2011

GENERALIZED FORM FACTORS FOR THE BEAM COUPLING IMPEDANCES IN A FLAT CHAMBER

Nicolas Frank Mounet

The exact formalism from B. Zotter to compute beam coupling impedances has been fully developed only in the case of an infinitely long circular beam pipe. For other two dimensional geometries, some form factors are known only in the ultrarelativistic case ...

2010

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

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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

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

Local discontinuous Galerkin methods for fractional diffusion equations

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

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

An adaptive finite-volume method for a model of two-phase pedestrian flow

GENERALIZED FORM FACTORS FOR THE BEAM COUPLING IMPEDANCES IN A FLAT CHAMBER

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

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

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

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

An adaptive finite-volume method for a model of two-phase pedestrian flow

Local discontinuous Galerkin methods for fractional diffusion equations

GENERALIZED FORM FACTORS FOR THE BEAM COUPLING IMPEDANCES IN A FLAT CHAMBER

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

On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods