Concept

Geometric flow

Publications associées (10)

Dynamic environmental flows using hydrodynamic-based solutions for sustainable hydropower

Water diversions from rivers and torrents for anthropic uses of the resource alter the natural flow regime. As a measure, environmental flows have been prescribed and often are enforced by law to follow policies (e.g., minimal flow, proportional redistribu ...

CRC Press/Balkema2023

Fractal surfaces in adhesive wear processes.

Jean-François Molinari, Enrico Milanese, Ramin Aghababaei, Tobias Brink

Wear of materials plays a key role in the durability of manifactured objects and it has thus an economical importance in our society. In spite of the efforts, a unified picture of the underlying physics of the phenomenon is still far from being reached, be ...

2018

Isogeometric Analysis for High Order Geometric Partial Differential Equations with Applications

Andrea Bartezzaghi

In this thesis, we consider the numerical approximation of high order geometric Partial Differential Equations (PDEs). We first consider high order PDEs defined on surfaces in the 3D space that are represented by single-patch tensor product NURBS. Then, we ...

EPFL2017

Isogeometric Analysis of geometric partial differential equations

Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi

We consider the numerical approximation of geometric Partial Differential Equations (PDEs) defined on surfaces in the 3D space. In particular, we focus on the geometric PDEs deriving from the minimization of an energy functional by L2L2-gradient flow. We a ...

Elsevier2016

MATHICSE Technical Report : Isogeometric analysis of geometric partial differential equations

Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi

MATHICSE2016

High Speed Pocket Milling Optimisation

Paul Xirouchakis, Sandeep Dhanik, Saurabh Aggarwal

The invention relates to a method of toolpath generation and cutting parameters optimization for high speed milling of a convex pocket, wherein said method comprises a first sub-method of generating a toolpath and a second sub-method of generating optimize ...

2012

Lagrange-Poincare field equations

Tudor Ratiu, François Gay-Balmaz

The Lagrange-Poincare equations of classical mechanics are cast into a field theoretic context together with their associated constrained variational principle. An integrability/reconstruction condition is established that relates solutions of the original ...

2011

Reduction theory for symmetry breaking with applications to nematic systems

François Gay-Balmaz, Cesare Tronci

We formulate Euler-Poincare and Lagrange-Poincare equations for systems with broken symmetry. We specialize the general theory to present explicit equations of motion for nematic systems, ranging from single nematic molecules to biaxial liquid crystals. Th ...

2010

Modélisation géométrique itérative sous contraintes

Gilles Gouaty

Iterative models are widely used today in CAD. They allow, with a limited number of parameters, to represent relatively complex forms through a subdivision algorithm. There is a wide variety of such models (Catmull-Clark, Doo-Sabin, L-Systems...). Most ite ...

EPFL2010

White matter fiber tract segmentation in DT-MRI using geometric flows

Jean-Philippe Thiran, Reto Meuli, Patric Hagmann, Xavier Bresson, Olivier Cuisenaire, Lisa Jonasson

In this paper, we present a 3D geometric flow designed to segment the main core of fiber tracts in diffusion tensor magnetic resonance images. The fundamental assumption of our fiber segmentation technique is that adjacent voxels in a tract have similar pr ...

2005

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