Publications related to Dirichlet problem

Template-based Monocular 3D Shape Recovery using Laplacian Meshes

Pascal Fua, 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 ...

Institute of Electrical and Electronics Engineers2016

A new formulation for imposing Dirichlet boundary conditions on non-matching meshes

Jean-François Molinari, Alejandro Marcos Aragon, Aurelia Isabel Cuba Ramos

Generating matching meshes for problems with complex boundaries is often an intricate process, and the use of non-matching meshes appears as an appealing solution. Yet, enforcing boundary conditions on non-matching meshes is not a straightforward process, ...

Wiley-Blackwell2015

A new formulation for imposing dirichlet boundary conditions on non-matching meshes

Jean-François Molinari, Alejandro Marcos Aragon

Generating matching meshes for problems with complex boundaries is often an intricate process, and the use of non-matching meshes appears as an appealing solution. Yet, enforcing boundary conditions on non- matching meshes is not a straightforward process, ...

2015

A Comparison of Preconditioners for the Steklov–Poincaré Formulation of the Fluid-Structure Coupling in Hemodynamics

Alfio Quarteroni, Simone Deparis, Davide Forti

A Fluid–Structure Interaction (FSI) problem can be reinterpreted as a heterogeneous problem with two subdomains. It is possible to describe the coupled problem at the interface between the fluid and the structure, yielding a nonlinear Steklov–Poincaré prob ...

2015

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

André Uschmajew

In this note we estimate the asymptotic rates for the L-2-error decay and the storage cost when approximating 2 pi-periodic, d-variate functions from isotropic and mixed Sobolev classes by the recent hierarchical tensor format as introduced by Hackbusch an ...

Academic Press Inc Elsevier Science2014

Comparison between reduced basis and stochastic collocation methods for elliptic problems

Alfio Quarteroni, Gianluigi Rozza, Peng Chen

The stochastic collocation method has recently been applied to stochastic problems that can be transformed into parametric systems. Meanwhile, the reduced basis method, primarily developed for solving parametric systems, has been recently used to deal with ...

Springer Verlag2014

Affine congruences and rational points on a certain cubic surface

Pierre Francis André Le Boudec

We establish estimates for the number of solutions of certain affine congruences. These estimates are then used to prove Manin's conjecture for a cubic surface split over Q whose singularity type is D-4. This improves on a result of Browning and answers a ...

Mathematical Science Publ2014

On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems

Simone Deparis, Adelmo Cristiano Innocenza Malossi

In this work an iterative strategy to implicitly couple dimensionally-heterogeneous blood flow models accounting for the continuity of mean total normal stress at interface boundaries is developed. Conservation of mean total normal stress in the coupling o ...

Elsevier2013

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Dirichlet problem

Gaussian Curvature as an Identifier of Shell Rigidity

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

Template-based Monocular 3D Shape Recovery using Laplacian Meshes

A new formulation for imposing Dirichlet boundary conditions on non-matching meshes

A new formulation for imposing dirichlet boundary conditions on non-matching meshes

A Comparison of Preconditioners for the Steklov–Poincaré Formulation of the Fluid-Structure Coupling in Hemodynamics

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

Comparison between reduced basis and stochastic collocation methods for elliptic problems

Affine congruences and rational points on a certain cubic surface

On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems

Graph Chatbot

Chat with Graph Search

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

Gaussian Curvature as an Identifier of Shell Rigidity

Template-based Monocular 3D Shape Recovery using Laplacian Meshes

A Comparison of Preconditioners for the Steklov–Poincaré Formulation of the Fluid-Structure Coupling in Hemodynamics

Comparison between reduced basis and stochastic collocation methods for elliptic problems

A new formulation for imposing Dirichlet boundary conditions on non-matching meshes

Affine congruences and rational points on a certain cubic surface

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems

A new formulation for imposing dirichlet boundary conditions on non-matching meshes