Publications related to An iterative domain decomposition algorithm for the grad(div) operator

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Families of energy operators and generalized energy operators have recently been introduced in the definition of the solutions of linear Partial Differential Equations (PDEs) with a particular application to the wave equation [ 15]. To do so, the author ha ...

Int Center Scientific Research & Studies2017

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

Daniel Kressner, Michael Maximilian Steinlechner

The numerical solution of partial differential equations on high-dimensional domains gives rise to computationally challenging linear systems. When using standard discretization techniques, the size of the linear system grows exponentially with the number ...

Siam Publications2016

Data Reconciliation in Open Reaction Systems using the Concept of Extents

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan

Kinetic models of chemical reaction systems are typically represented in terms of state variables, such as concentrations, temperature and partial pressures [1]. These state variables in turn depend on the underlying reactions, transfer phenomena, and tran ...

2015

MATHICSE Technical Report : Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

Daniel Kressner, Michael Maximilian Steinlechner

The numerical solution of partial differential equations on high-dimensional domains gives rise to computationally challenging linear systems. When using standard discretization techniques, the size of the linear system grows exponentially with the number ...

MATHICSE2015

Optimized distributed implementation of multiparty interactions with Restriction

Joseph Sifakis

Using high level coordination primitives allows enhanced expressiveness of component-based frameworks to cope with the inherent complexity of present-day systems designs. Nonetheless, their distributed implementation raises multiple issues, regarding both ...

Elsevier2015

Nonlinear Analysis of a Coaxial Microhelicopter with a Bell Stabilizer Bar

Philippe Müllhaupt, Basile Graf

Nonlinear modeling of coaxial microhelicopters is studied. All equations are derived using a Lagrangian approach and simplified aerodynamics assumptions so that all parameters have a physical meaning; there is no “black box.” The model is constructed with ...

Amer Helicopter Soc Inc2014

Isogeometric Analysis of Electrophysiological Models on Surfaces

Alessandro Samuele Patelli

In this project we numerically simulate electrophysiological models for cardiac applications by means of Isogeometric Analysis. Specifically, we aim at understanding the advantages of using high order continuous NURBS (Non-UniformRational B-Splines) basis ...

2014

MATHICSE Technical Report : 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. Moreover, we discuss extensions to non-unif ...

MATHICSE2014

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Joachim Krieger

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

on

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

Operator-Like Wavelet Bases of L-2(R-d)

Michaël Unser, John Paul Ward, Ildar Khalidov

The connection between derivative operators and wavelets is well known. Here we generalize the concept by constructing multiresolution approximations and wavelet basis functions that act like Fourier multiplier operators. This construction follows from a s ...

Springer Birkhauser2013

An iterative domain decomposition algorithm for the grad(div) operator

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Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

Data Reconciliation in Open Reaction Systems using the Concept of Extents

MATHICSE Technical Report : Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

Optimized distributed implementation of multiparty interactions with Restriction

Nonlinear Analysis of a Coaxial Microhelicopter with a Bell Stabilizer Bar

Isogeometric Analysis of Electrophysiological Models on Surfaces

MATHICSE Technical Report : Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Operator-Like Wavelet Bases of L-2(R-d)

Isogeometric Analysis of Electrophysiological Models on Surfaces

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

MATHICSE Technical Report : Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure

Nonlinear Analysis of a Coaxial Microhelicopter with a Bell Stabilizer Bar

Operator-Like Wavelet Bases of L-2(R-d)

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Data Reconciliation in Open Reaction Systems using the Concept of Extents

Optimized distributed implementation of multiparty interactions with Restriction

MATHICSE Technical Report : Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators