Publications related to Boundary value problem

Geometric multiscale modeling of the cardiovascular system, between theory and practice

This review paper addresses the so called geometric multiscale approach for the numerical simulation of blood flow problems, from its origin (that we can collocate in the second half of '90s) to our days. By this approach the blood fluid-dynamics in the wh ...

Elsevier2016

Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino

The aim of this work is to solve parametrized partial differential equations in computational domains represented by networks of repetitive geometries by combining reduced basis and domain decomposition techniques. The main idea behind this approach is to ...

Elsevier2016

Modelling of a Dielectric Electroactive Polymer Tubular Shape Sensor for Pressure Measurements

Yves Perriard, Yoan René Cyrille Civet, Jonathan André Jean-Marie Chavanne

The variation of pressure of the blood is a key parameter in the development of ventricular assist device. This latter is useful in order to synchronize the behavior of the actuator with the cardiac frequency. This paper presents a sensor made of a dielect ...

IEEE2016

Assessing the impact of contemporary urbanization on bioclimatic features of historic architecture through a two-step simulation process

Marilyne Andersen, Luisa Pastore, Siobhan Francois Rockcastle, Parag Rastogi, Hélène Yvette Claudine Monari, Guillaume Charles Johan Rouff soit Rueff

The aim of this paper is to provide a systematic understanding, through simulation-based assessment, of how contemporary urban planning affects the bioclimatic features of existing historic architecture. An emblematic early 20th century Brazilian building, ...

2016

MATHICSE Technical Report : Geometric multiscale modeling of the cardiovascular system, between theory and practice

Alfio Quarteroni, Christian Vergara

This review paper addresses the so called geometric multiscale approach for the numerical simulation of blood flow problems, from its origin (that we can collocate in the second half of ’90s) to our days. By this approach the blood fluid-dynamics in the wh ...

MATHICSE2016

Progress in simulating SOL plasma turbulence\\with the GBS code

Paolo Ricci, Paola Paruta, Federico David Halpern, Fabio Riva, Christoph Wersal, Rogério Manuel Cabete De Jesus Jorge

The GBS code has been developed in the last few years to simulate plasma dynamics in tokamak SOL conditions. GBS advances the drift-reduced Braginskii equations, solving at the same time the neutral atoms kinetic equation by the method of characteristics. ...

2016

An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology

Andrea Manzoni

In this paper, we provide a representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction in a simplified monodomain model describing the electrical activity of the heart. We derive such a ...

World Scientific Publishing2016

A Dirichlet problem involving the divergence operatord

Bernard Dacorogna, Gyula Csató

We consider the problem {div u + (a; u) = f in Omega u = u(0) on partial derivative Omega. We show that if curl a (x(0)) not equal for some x(0) epsilon Omega, then the problem is solvable without restriction on f. We also discuss the regularity of the sol ...

Elsevier Science Bv2016

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Boundary value problem

Geometric multiscale modeling of the cardiovascular system, between theory and practice

Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

Modelling of a Dielectric Electroactive Polymer Tubular Shape Sensor for Pressure Measurements

Assessing the impact of contemporary urbanization on bioclimatic features of historic architecture through a two-step simulation process

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

MATHICSE Technical Report : Geometric multiscale modeling of the cardiovascular system, between theory and practice

Progress in simulating SOL plasma turbulence\\with the GBS code

An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology

Modelling wet snow avalanche runout to assess road safety at a high-altitude mine in the central Andes

A Dirichlet problem involving the divergence operatord

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Chat with Graph Search

Progress in simulating SOL plasma turbulence\\with the GBS code

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

MATHICSE Technical Report : Geometric multiscale modeling of the cardiovascular system, between theory and practice

Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

Modelling wet snow avalanche runout to assess road safety at a high-altitude mine in the central Andes

Geometric multiscale modeling of the cardiovascular system, between theory and practice

Assessing the impact of contemporary urbanization on bioclimatic features of historic architecture through a two-step simulation process

Modelling of a Dielectric Electroactive Polymer Tubular Shape Sensor for Pressure Measurements

An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology

A Dirichlet problem involving the divergence operatord