Publications related to Reduced Basis Approximation and A Posteriori Error Estimation for the Time- Dependent Viscous Burgers Equation

Basal entrainment by Newtonian gravity-driven flows

Christophe Ancey, Nicolas Andreini, Belinda Margaret Bates

Gravity-driven flows can erode the bed along which they descend and increase their mass by a factor of 10 or more. This process is called "basal entrainment." Although documented by field observations and laboratory experiments, it remains poorly understoo ...

Amer Inst Physics2016

Understanding the mixing process in 3D microfluidic nozzle/diffuser systems: simulations and experiments

Martinus Gijs, Abdeljalil Sayah

We characterise computationally and experimentally a three-dimensional (3D) microfluidic passive mixer for various Reynolds numbers ranging from 1 to 100, corresponding to primary flow rates of 10-870 mu l min(-1). The 3D mixing channel is composed of mult ...

Iop Publishing Ltd2016

MATHICSE Technical Report : An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Alfio Quarteroni, Andrea Manzoni, Yvon Maday

We propose a new, black-box online stabilization strategy for reduced basis (RB) approx- imations of parameter-dependent advection-diffusion problems in the advection-dominated case. Our goal is to stabilize the RB problem irrespectively of the stabilizati ...

MATHICSE2016

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Alfio Quarteroni, Andrea Manzoni, Yvon Maday

We propose a new, black-box online stabilization strategy for reduced basis (RB) approximations of parameter-dependent advection-diffusion problems in the advection-dominated case. Our goal is to stabilize the RB problem irrespectively of the stabilization ...

Elsevier France-Editions Scientifiques Medicales Elsevier2016

The vertical structure of eddy diffusivity in pure slope flows over smooth surfaces

Jiannong Fang, Marc Parlange, Marco Giovanni Giometto

Thermally driven slope flows are ubiquitous in nature and play a major role in regulating local microclimates in valleys, glaciers and ice-sheets. They control in large part surface momentum, heat and moisture fluxes, and their effects must therefore be ac ...

2014

A counterexample to well-posedness of entropy solutions to the compressible Euler system

Elisabetta Chiodaroli

We consider entropy solutions to the Cauchy problem for the isentropic compressible Euler equations in the spatially periodic case. In more than one space dimension, the methods developed by De Lellis-Szekelyhidi enable us to show here failure of uniquenes ...

World Scientific Publ Co Pte Ltd2014

Local discontinuous Galerkin methods for fractional diffusion equations

Jan Sickmann Hesthaven

We consider the development and analysis of local discontinuous Galerkin methods for fractional diffusion problems in one space dimension, characterized by having fractional derivatives, parameterized by beta in [1,2]. After demonstrating that a classic ap ...

EDP Sciences2013

A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices

Assyr Abdulle, Alexander Shapeev

In this paper we derive regularity results for equilibria of multilattices under an external force and prove a priori and a posteriori error estimates for a multiscale numerical method for computing such equilibria. The estimates are derived in a W-1,W-inf ...

Siam Publications2013

Nondispersive solutions to the $L^2$-critical half-wave equation

Joachim Krieger

We consider the focusing

L^2

-critical half-wave equation in one space dimension

i \partial_t u = D u - |u|^2 u,

where

D

denotes the first-order fractional derivative. Standard arguments show that there is a critical threshold

M_* > 0

such that all ...

Springer Verlag2013

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Alfio Quarteroni, Christian Vergara, Luca Formaggia

In this work we discuss the reliability of the coupling among three-dimensional (3D) and one-dimensional (1D) models that describe blood flowing into the circulatory tree. In particular, we study the physical consistency of the 1D model with respect to the ...

Academic Press Inc Elsevier Science2013

Reduced Basis Approximation and A Posteriori Error Estimation for the Time- Dependent Viscous Burgers Equation

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Basal entrainment by Newtonian gravity-driven flows

Understanding the mixing process in 3D microfluidic nozzle/diffuser systems: simulations and experiments

MATHICSE Technical Report : An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

The vertical structure of eddy diffusivity in pure slope flows over smooth surfaces

A counterexample to well-posedness of entropy solutions to the compressible Euler system

Local discontinuous Galerkin methods for fractional diffusion equations

A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices

Nondispersive solutions to the $L^2$-critical half-wave equation

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Local discontinuous Galerkin methods for fractional diffusion equations

A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices

Basal entrainment by Newtonian gravity-driven flows

A counterexample to well-posedness of entropy solutions to the compressible Euler system

Understanding the mixing process in 3D microfluidic nozzle/diffuser systems: simulations and experiments

The vertical structure of eddy diffusivity in pure slope flows over smooth surfaces

MATHICSE Technical Report : An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Nondispersive solutions to the $L^2$-critical half-wave equation

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics