Publications associées à Problème de Dirichlet

Hitting with Probability One for Stochastic Heat Equations with Additive Noise

We study the hitting probabilities of the solution to a system of d stochastic heat equations with additive noise subject to Dirichlet boundary conditions. We show that for any bounded Borel set with positive (d-6)\documentclass[12pt]{minimal} \usepackage{ ...

Springer/Plenum Publishers2024

Thick points of the planar GFF are totally disconnected for all & gamma;=6 0*

Juhan Aru

We prove that the set of-y-thick points of a planar Gaussian free field (GFF) with Dirichlet boundary conditions is a.s. totally disconnected for all-y =6 0. Our proof relies on the coupling between a GFF and the nested CLE4. In particular, we show that th ...

INST MATHEMATICAL STATISTICS-IMS2023

The first Grushin eigenvalue on cartesian product domains

Joachim Stubbe, Luigi Provenzano, Paolo Luzzini

In this paper, we consider the first eigenvalue.1(O) of the Grushin operator.G :=.x1 + |x1|2s.x2 with Dirichlet boundary conditions on a bounded domain O of Rd = R d1+ d2. We prove that.1(O) admits a unique minimizer in the class of domains with prescribed ...

WALTER DE GRUYTER GMBH2023

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Le Chen, Cheuk Yin Lee, David Jean-Michel Candil

We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann boundary condition. We establish existence, uniqueness and moment bounds of the r ...

New York2023

Efficient lattice Green's function method for bounded domain problems

William Curtin, Ankit Gupta, Max Ludwig Hodapp

The lattice Green's function method (LGFM) is the discrete counterpart of the continuum boundary element method and is a natural approach for solving intrinsically discrete solid mechanics problems that arise in atomistic-continuum coupling methods. Here, ...

WILEY2022

Analysis of the flexible boundary condition method

William Curtin, Ankit Gupta

The flexible boundary condition method (FBCM) is a well-established method for the efficient study of complex non-linear atomistic defects while avoiding finite-size effects. The method uses lattice Green's functions (LGFs) to effectively embed an atomisti ...

IOP PUBLISHING LTD2021

On the equation A del u plus (del u)(t) A = G

Bernard Dacorogna

Let Omega subset of R-n be an open set, A is an element of R-nxn and G : Omega -> R-nxn be given. We look for a solution u : Omega -> R-n of the equation A del u + (del u)(t) A = G We also study the associated Dirichlet problem. (C) 2020 Elsevier Ltd. All ...

PERGAMON-ELSEVIER SCIENCE LTD2020

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

Annalisa Buffa, Rafael Vazquez Hernandez, Riccardo Puppi

Trimming is a common operation in computer aided design and, in its simplest formulation, consists in removing superfluous parts from a geometric entity described via splines (a spline patch). After trimming, the geometric description of the patch remains ...

2020

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Problème de Dirichlet

Hitting with Probability One for Stochastic Heat Equations with Additive Noise

Thick points of the planar GFF are totally disconnected for all & gamma;=6 0*

The first Grushin eigenvalue on cartesian product domains

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Efficient lattice Green's function method for bounded domain problems

On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method

Numerical Methods for First and Second Order Fully Nonlinear Partial Differential Equations

Analysis of the flexible boundary condition method

On the equation A del u plus (del u)(t) A = G

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

Graph Chatbot

Chattez avec Graph Search

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

On the equation A del u plus (del u)(t) A = G

Analysis of the flexible boundary condition method

Numerical Methods for First and Second Order Fully Nonlinear Partial Differential Equations

On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method

Efficient lattice Green's function method for bounded domain problems

The first Grushin eigenvalue on cartesian product domains

Thick points of the planar GFF are totally disconnected for all & gamma;=6 0*

Hitting with Probability One for Stochastic Heat Equations with Additive Noise

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds