Concept

Dirichlet problem

Related publications (51)

Stochastic Control and Free Boundary Problems for Sailboat Trajectory Optimization

The topic of this thesis is the study of several stochastic control problems motivated by sailing races. The goal is to minimize the travel time between two locations, by selecting the fastest route in face of randomly changing weather conditions, such as ...

EPFL2012

Isogeometric Analysis of PDEs and numerical implementation in the Finite Element Library LifeV

Nicolò Pagan

The aim of the project is double: to understand the flexibility of the Isogeometric Analysis tools through the solution of some PDEs problems; to test the improvement in the computational time given by a partial loops vectorization at compile-time of the L ...

2012

Laplacian Meshes for Monocular 3D Shape Recovery

Pascal Fua, Aydin Varol, Tien Dat Ngo, Jonas Olof Martin Östlund

We show that by extending the Laplacian formalism, which was first introduced in the Graphics community to regularize 3D meshes, we can turn the monocular 3D shape reconstruction of a deformable surface given correspondences with a reference image into a w ...

2012

General regularized boundary condition for multi-speed lattice Boltzmann models

Orestis Pileas Malaspinas, Jonas Marcel Lätt

The lattice Boltzmann method is nowadays a common tool for solving computational fluid dynamics problems. One of the difficulties of this numerical approach is the treatment of the boundaries, because of the lack of physical intuition for the behavior of t ...

2011

Modeling dimensionally-heterogeneous problems: analysis, approximation and applications

Alfio Quarteroni, Marco Discacciati

In the present work a general theoretical framework for coupled dimensionally-heterogeneous partial differential equations is developed. This is done by recasting the variational formulation in terms of coupling interface variables. In such a general setti ...

Springer-Verlag2011

A Global Version Of The Darboux Theorem With Optimal Regularity And Dirichlet Condition

Bernard Dacorogna, Olivier Kneuss

Let n > 2 be even; r >= 1 be an integer; 0 < alpha < 1; Omega be a bounded, connected, smooth, open set in R-n; and nu be its exterior unit normal. Let f, g is an element of C-r,C-alpha((Omega) over bar; Lambda(2)) be two symplectic forms (i.e., closed and ...

2011

Two Positive Solutions of a Quasilinear Elliptic Dirichlet Problem

Charles Stuart

For a class of second order quasilinear elliptic equations we establish the existence of two non-negative weak solutions of the Dirichlet problem on a bounded domain, Omega. Solutions of the boundary value problem are critical points of C-1-functional on H ...

Birkhäuser-Verlag, Springer2011

A Numerical Study Of Some Hessian Recovery Techniques On Isotropic And Anisotropic Meshes

Marco Picasso

Spaces of continuous piecewise linear finite elements are considered to solve a Poisson problem, and several numerical methods are investigated to recover second derivatives. Numerical results on 2D and 3D isotropic and anisotropic meshes indicate that the ...

2011

Control of Polymerization Processes

Dominique Bonvin, Grégory François

With an annual worldwide production well in excess of 100 million metric tons, synthetic polymers constitute a significant part of the modern chemical process industry. Polymer reactors - operated in continuous, batch, or semibatch mode - are therefore imp ...

CRC Press2010

A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology

Ricardo Esteban Ruiz Baier

The bidomain model of electrical activity of myocardial tissue consists of a possibly degenerate parabolic PDE coupled with an elliptic PDE for the transmembrane and extracellular potentials, respectively. This system of two scalar PDEs is supplemented by ...

Wiley-Blackwell2010

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