Publications associées à A unified stabilized method for Stokes' and Darcy's equations

Publications associées (34)

Vessel scheduling with pilotage and tugging considerations

This paper considers vessel scheduling with pilotage and tugging constraints in berthing operations with channel restrictions at seaports. To our knowledge, pilotage and tugging requirements have not been simultaneously considered in the literature. This w ...

PERGAMON-ELSEVIER SCIENCE LTD2021

A Box-Spline Framework for Inverse Problems With Continuous-Domain Sparsity Constraints

Michaël Unser, Aleix Boquet I Pujadas, Mehrsa Pourya

The formulation of inverse problems in the continuum eliminates discretization errors and allows for the exact incorporation of priors. In this paper, we formulate a continuous-domain inverse problem over a search space of continuous and piecewise-linear f ...

Ieee-Inst Electrical Electronics Engineers Inc2024

On the correction of the transient ground resistance at early times in lightning surge propagation studies

Farhad Rachidi-Haeri, Hannes Kohlmann

The impact of the ground losses on transient surges that propagate along transmission lines is taken into consideration in the telegrapher’s equations through the so-called transient ground resistance function ξ’g(t), for which numerous ex-pressions exist. ...

2024

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

Annalisa Buffa, Rafael Vazquez Hernandez, Riccardo Puppi

Trimming is a common operation in computer aided design and, in its simplest formulation, consists in removing superfluous parts from a geometric entity described via splines (a spline patch). After trimming, the geometric description of the patch remains ...

2020

Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves

Bernard Kapidani

We present a fundamental improvement of a high polynomial degree time domain cell method recently introduced by the last three authors. The published work introduced a method featuring block-diagonal system matrices where the block size and conditioning sc ...

2024

Experimental And Theoretical Insight Into Formulations Based On Poly(Vinyl Alcohol Boric Acid) And Diclofenac Sodium Salt

Maria-Alexandra Paun

A series of three formulations were prepared in view of experimental and theoretical investigation of their drug release potential. The morphology of the film formulations, in terms of distribution of drug into the polymeric matrix and the nature of the dr ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2020

An adaptive algorithm for the transport equation with time dependent velocity

Marco Picasso, Samuel Dubuis

An a posteriori error estimate is derived for the approximation of the transport equation with a time dependent transport velocity. Continuous, piecewise linear, anisotropic finite elements are used for space discretization, the Crank-Nicolson scheme schem ...

2020

5-Fluorouracil Release from Chitosan-Based Matrix. Experimental and Theoretical Aspects

Maria-Alexandra Paun

A series of four drug release formulations based on 5-fluorouracil encapsulated into a chitosan-based matrix were prepared by in situ hydrogelation with 3,7-dimethyl-2,6-octadienal. The formulations were investigated from structural and morphological aspec ...

2020

A Fast Hybrid Pressure-Correction Algorithm for Simulating Incompressible Flows by Projection Methods

Jiannong Fang

To enforce the conservation of mass principle, a pressure Poisson equation arises in the numerical solution of incompressible fluid flow using the pressure-based segregated algorithms such as projection methods. For unsteady flows, the pressure Poisson equ ...

2023

A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction

Alfio Quarteroni

We present a loosely coupled scheme for the numerical simulation of the cardiac electrofluid-structure interaction problem, whose solution is typically computationally intensive due to the need to suitably treat the coupling of the different submodels. Our ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2023

A posteriori error estimation for the steady Navier-Stokes equations in random domains

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

We consider finite element error approximations of the steady incompressible Navier-Stokes equations defined on a randomly perturbed domain, the perturbation being small. Introducing a random mapping, these equations are transformed into PDEs on a fixed re ...

Elsevier2017

A revised gap-averaged Floquet analysis of Faraday waves in Hele-Shaw cells

Baptiste Kellian Jouron, François Gallaire, Alessandro Bongarzone

Existing theoretical analyses of Faraday waves in Hele-Shaw cells rely on the Darcy approximation and assume a parabolic flow profile in the narrow direction. However, Darcy's model is known to be inaccurate when convective or unsteady inertial effects are ...

Cambridge University Press2023

Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces

Alfio Quarteroni

One of the major challenges of coupled problems is to manage nonconforming meshes at the interface between two models and/or domains, due to different numerical schemes or domain discretizations employed. Moreover, very often complex submodels depend on (e ...

SPRINGER2023

A kernel compression scheme for fractional differential equations

Jan Sickmann Hesthaven, Daniel Henri Baffet

The nonlocal nature of the fractional integral makes the numerical treatment of fractional dierential equations expensive in terms of computational eort and memory requirements. In this paper we propose a method to reduce these costs while controlling the ...

Society for Industrial and Applied Mathematics2017

Monitoring of water table level and volume of water in a porous storage by seismic data

Jan Sickmann Hesthaven

Neural networks provide an attractive framework to monitor the water table level and the volume of stored water in porous media from seismic data in an automated, fast and cost-efficient manner. In this work, a subsurface reservoir is modeled as a coupled ...

European Association of Geoscientists and Engineers, EAGE2023

Finite element method–discrete element method bridging coupling for the modeling of gouge

Jean-François Molinari, Guillaume Anciaux, Antonio Joaquin Garcia Suarez, Manon Eugénie Voisin--Leprince

We discuss the multiscale modeling of a granular material trapped between continuum elastic domains. The amorphous granular region, usually termed “gouge,” is under high confinement pressure, to represent the loading of faults at depth. We model the granul ...

Wiley2023

Exploration of the parameter space for the excitation and saturation of Edge Harmonic Oscillations

Guillermo Bustos Ramirez

This thesis presents advancements in the understanding of the plasma conditions leading to the excitation and saturation of the Edge Harmonic Oscillations (EHOs) observed during QH-mode operation in tokamak plasmas. Such operations represent a safer altern ...

EPFL2023

A New Formulation of the Cooray-Rubinstein Expression in Time Domain

Farhad Rachidi-Haeri

In this paper, a new formulation in the time domain of the Cooray-Rubinstein expression is presented. This new formulation overcomes the problems related to the previous formulation: The Dirac pulse contained in the kernel of the previous formulation is ex ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Crystallization of undercooled liquid fenofibrate

Esther Amstad

Formulation of hydrophobic drugs as amorphous materials is highly advantageous as this increases their solubility in water and therefore their bioavailability. However, many drugs have a high propensity to crystallize during production and storage, limitin ...

Royal Society of Chemistry2015

Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics

Alfio Quarteroni, Luca Dede', Anna Tagliabue

In this paper, we consider the numerical approximation of high order Partial Differential Equations (PDEs) by means of NURBS-based Isogeometric Analysis (IGA) in the framework of the Galerkin method, for which global smooth basis functions with degree of c ...

Elsevier2014