Publications related to High-order localized time integration for grid-induced stiffness

The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

A finite element method with numerical quadrature is considered for the solution of a class of second-order quasilinear elliptic problems of nonmonotone type. Optimal a priori error estimates for the H-1 and the L-2 norms are derived. The uniqueness of the ...

Elsevier2011

On the analytic-numeric treatment of weakly singular integrals on arbitrary polygonal domains

Juan Ramon Mosig, Sergio Lopez Pena

An alternative analytical approach to calculate the weakly singular free-space static potential integral associated to uniform sources is presented. Arbitrary oriented flat polygons are considered as integration domains. The technique stands out by its mat ...

EMW Publishing2011

Numerical Integration of SDEs: A Short Tutorial

Thomas Schaffter

Introduction to numerical methods to simulate systems of stochastic differential equations (SDEs) both in Ito and Stratonovich scheme. ...

2010

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Gonçalo Pena

In this thesis we address the numerical approximation of the incompressible Navier-Stokes equations evolving in a moving domain with the spectral element method and high order time integrators. First, we present the spectral element method and the basic to ...

EPFL2009

Finite-element preconditioning of G-NI spectral methods

Alfio Quarteroni

Several old and new finite-element preconditioners for nodal-based spectral discretizations of −laplace(u) = f in the domain

\Omega = (-1, 1)^d

(d = 2 or 3), with Dirichlet or Neumann boundary conditions, are considered and compared in terms of bothcondi ...

2009

Systematic prediction of linear dependencies in the concentration profiles and implications on the kinetic hard-modelling of spectroscopic data

Julien Léo Billeter, Konrad Hungerbühler

A novel method is presented for the systematic identification of the minimum requirements regarding mathematical pre-treatment, a priori information, or experimental design, in order to allow optimising rate constants and pure component spectra associated ...

Elsevier2009

Numerical methods for multiscale problems

Assyr Abdulle

The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation: symplectic and multisymplectic integrators for Hamiltonian systems, symmetric integrators for reversible syst ...

EMS2006

Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

Pedro Miguel Nunes Pereira de Almeida Reis

We report a novel mode of quasi-static oscillatory crack propagation when a cutting tool is driven through a thin polymer film [6,7]. In our experiments, for tools with a large enough width, the crack tip follows a highly periodic path, leaving behind a st ...

2006

Idempotent filtering in spectral and spectral element methods

Jan Sickmann Hesthaven

The comparison of numerical results for implicit-explicit and fully explicit Runge-Kutta time integration methods for a nozzle flow problem shows that filtering can significantly degrade the accuracy of the numerical solution for long-time integration prob ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2006

Semi-analytical bifurcation analysis of two-phase flow in a heated channel

Rakesh Chawla, Abdelhamid Dokhane

Using a drift flux representation for the two-phase flow, a new reduced order model has been developed to simulate density-wave oscillations (DWOs) in a heated channel. This model is then used to perform stability and semi-analytical bifurcation analysis, ...

2005

High-order localized time integration for grid-induced stiffness

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The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

On the analytic-numeric treatment of weakly singular integrals on arbitrary polygonal domains

Numerical Integration of SDEs: A Short Tutorial

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Finite-element preconditioning of G-NI spectral methods

Systematic prediction of linear dependencies in the concentration profiles and implications on the kinetic hard-modelling of spectroscopic data

Numerical methods for multiscale problems

Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

Idempotent filtering in spectral and spectral element methods

Semi-analytical bifurcation analysis of two-phase flow in a heated channel

On the analytic-numeric treatment of weakly singular integrals on arbitrary polygonal domains

The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

Numerical Integration of SDEs: A Short Tutorial

Numerical methods for multiscale problems

Semi-analytical bifurcation analysis of two-phase flow in a heated channel

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

Systematic prediction of linear dependencies in the concentration profiles and implications on the kinetic hard-modelling of spectroscopic data

Finite-element preconditioning of G-NI spectral methods

Idempotent filtering in spectral and spectral element methods