Publications related to Equal-order discontinuous finite volume element methods for the Stokes problem

Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape

In this work, we set up a new, general, and computationally efficient way to tackle parametrized fluid flows modeled through unsteady Navier-Stokes equations defined on domains with variable shape, when relying on the reduced basis method. We easily descri ...

SPRINGER2019

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 discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media

Assyr Abdulle, Ondrej Budác

We present a new conservative multiscale method for Stokes flow in heterogeneous porous media. The method couples a discontinuous Galerkin finite element method (DG-FEM) at the macroscopic scale for the solution of an effective Darcy equation with a Stokes ...

2017

Parameter estimates for the Relaxed Dimensional Factorization preconditioner and application to hemodynamics

Alfio Quarteroni, Simone Deparis, Gwenol Grandperrin

We present new results on the Relaxed Dimensional Factorization (RDF) preconditioner for solving saddle point problems from incompressible flow simulations, first introduced in Benzi et al. (2011). This method contains a parameter α>0α>0, to be chosen by t ...

Elsevier2016

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

Sohrab Mirshams Shahshahani

We construct a one parameter family of nite time blow ups to the co-rotational wave maps problem from

S^2\times R

to

S^2

parameterized by

\nu \epsilon (\frac{1}{2},1]

. The longitudinal function

u(t,\alpha)

which is the main object of study will be ...

2016

RENORMALIZATION AND BLOW-UP FOR WAVE MAPS FROM S-2 x R TO S-2

Sohrab Mirshams Shahshahani

We construct a one parameter family of finite time blow-ups to the co-rotational wave maps problem from S-2 x R to S-2, parameterized by nu is an element of (1/2, 1]. The longitudinal function u(t, alpha) which is the main object of study will be obtained ...

American Mathematical Society2016

An octree-based adaptive semi-Lagrangian VOF approach for simulating the displacement of free surfaces

Marco Picasso, Gilles Steiner, Viljami Henrikki Laurmaa

A numerical method based on an adaptive octree space discretization for the simulation of displacement of free surfaces is proposed and applied to 3D free surface flow problems. A VOF approach is combined with a mass-conserving semi-Lagrangian time-steppin ...

Elsevier2016

MATHICSE Technical Report : 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 ...

MATHICSE2016

An octree-based adaptive semi-Lagrangian free surface flow solver

Viljami Henrikki Laurmaa

A numerical method based on an adaptive octree space discretization for the simulation of 3D free-surface fluid flows is proposed. The Navier-Stokes equations are solved with a time-splitting scheme, which decouples advection from diffusion/incompressibili ...

EPFL2016

Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations

Gianluigi Rozza, Andrea Manzoni, Federico Negri

This paper extends the reduced basis method for the solution of parametrized optimal control problems presented in Negri et al. (2013) to the case of noncoercive (elliptic) equations, such as the Stokes equations. We discuss both the theoretical properties ...

Elsevier2015

Equal-order discontinuous finite volume element methods for the Stokes problem

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Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape

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

A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media

Parameter estimates for the Relaxed Dimensional Factorization preconditioner and application to hemodynamics

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

RENORMALIZATION AND BLOW-UP FOR WAVE MAPS FROM S-2 x R TO S-2

An octree-based adaptive semi-Lagrangian VOF approach for simulating the displacement of free surfaces

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

An octree-based adaptive semi-Lagrangian free surface flow solver

Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations

Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape

Parameter estimates for the Relaxed Dimensional Factorization preconditioner and application to hemodynamics

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

An octree-based adaptive semi-Lagrangian free surface flow solver

Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations

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

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

An octree-based adaptive semi-Lagrangian VOF approach for simulating the displacement of free surfaces

RENORMALIZATION AND BLOW-UP FOR WAVE MAPS FROM S-2 x R TO S-2

A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media