Publications related to Numerical Approximation Of Internal Discontinuity Interface Problems

Finite element modeling of dynamic frictional rupture with rate and state friction

Jean-François Molinari, Fabian Barras, Roozbeh Rezakhani, Michael Ludovic Brun

Numerous laboratory experiments have demonstrated the dependence of the friction coefficient on the interfacial slip rate and the contact history, a behavior generically called rate and state friction. Although numerical models have been widely used for an ...

PERGAMON-ELSEVIER SCIENCE LTD2020

Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method

Jan Sickmann Hesthaven, Khemraj Shukla

An accurate solution of the wave equation at a fluid-solid interface requires a correct implementation of the boundary condition. Boundary conditions at acousto-elastic interface require continuity of the normal component of particle velocity and traction, ...

2019

Isogeometric Analysis of the electrophysiology in the human heart: Numerical simulation of the bidomain equations on the atria

Alfio Quarteroni, Luca Pegolotti

We consider Isogeometric Analysis (IGA) for the numerical solution of the electrophysiology of the atria, which in this work is modeled by means of the bidomain equations on thin surfaces. First, we consider the bidomain equations coupled with the Roger-Mc ...

ELSEVIER SCIENCE SA2019

Biomembrane modeling with isogeometric analysis

Alfio Quarteroni, Andrea Bartezzaghi

We consider the numerical approximation of lipid biomembranes at equilibrium described by the Canham-Helfrich model, according to which the bending energy is minimized under area and volume constraints. Energy minimization is performed via L-2-gradient flo ...

ELSEVIER SCIENCE SA2019

Many-body perturbation theory calculations using the yambo code

Antimo Marrazzo, Gianluca Prandini, Andrea Ferretti

yambo is an open source project aimed at studying excited state properties of condensed matter systems from first principles using many-body methods. As input, yambo requires ground state electronic structure data as computed by density functional theory c ...

IOP PUBLISHING LTD2019

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Stefano Massei

Evaluating the action of a matrix function on a vector, that is

x=f(\mathcal M)v

, is an ubiquitous task in applications. When

\mathcal M

is large, one usually relies on Krylov projection methods. In this paper, we provide effective choices for the pole ...

2019

Numerical Modelling of Two-Phase Flow with Moving Boundary Fitted Meshes

Erik Gros

In this thesis, a computational approach is used to study two-phase flow including phase change by direct numerical simulation. This approach follows the interface with an adaptive moving mesh. The incompressible Navier-Stokes equations are solved, in tw ...

EPFL2018

A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle

Alfio Quarteroni, Antonello Gerbi

In this paper, we propose a monolithic algorithm for the numerical solution of the electromechanics model of the left ventricle in the human heart. Our coupled model integrates the monodomain equation with the Bueno-Orovio minimal model for electrophysiolo ...

AMER INST MATHEMATICAL SCIENCES-AIMS2018

Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

Alfio Quarteroni, Shengfeng Zhu

Discretization methods such as finite differences or finite elements were usually employed to provide high fidelity solution approximations for reduced order modeling of parameterized partial differential equations. In this paper, a novel discretization te ...

Edp Sciences S A2017

Verification and validation procedures with applications to plasma-edge turbulence simulations

Fabio Riva

Understanding the plasma dynamics in tokamaks is of fundamental importance to reliably predict the performances of future fusion devices. Because of the complex phenomena at play, state-of-the-art simulation codes are needed to investigate the plasma dynam ...

EPFL2017

Numerical Approximation Of Internal Discontinuity Interface Problems

Graph Chatbot

Chat with Graph Search

Finite element modeling of dynamic frictional rupture with rate and state friction

Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method

Isogeometric Analysis of the electrophysiology in the human heart: Numerical simulation of the bidomain equations on the atria

Biomembrane modeling with isogeometric analysis

Many-body perturbation theory calculations using the yambo code

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Numerical Modelling of Two-Phase Flow with Moving Boundary Fitted Meshes

A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle

Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

Verification and validation procedures with applications to plasma-edge turbulence simulations

Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method

Many-body perturbation theory calculations using the yambo code

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Biomembrane modeling with isogeometric analysis

Numerical Modelling of Two-Phase Flow with Moving Boundary Fitted Meshes

A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle

Verification and validation procedures with applications to plasma-edge turbulence simulations

Isogeometric Analysis of the electrophysiology in the human heart: Numerical simulation of the bidomain equations on the atria

Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

Finite element modeling of dynamic frictional rupture with rate and state friction