Pierre Marchand
Pierre Marchand
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High-frequency estimates and error bounds on the h-BEM for the Helmholtz exterior Neumann problem
New frequency-explicit bounds on the norms of both the regularised combined field integral equation and its inverse. And first frequency-explicit error bound on the h-BEM for the Helmholtz exterior Neumann problem with a standart second-kind formulation.
July 29, 2022
ENSTA, Palaiseau, France
Jeffrey Galkowski
,
Pierre Marchand
,
Euan Spence
Abstract
High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem
New frequency-explicit bounds on the norms of both the regularised combined field integral equation and its inverse.
June 6, 2022
Oslo, Norway
Jeffrey Galkowski
,
Pierre Marchand
,
Euan Spence
Htool: a modular tool for blackbox parallel compression with hierarchical matrices
Htool, a lightweight header-only C++11 library that provides an easy-to-use interface for distributed matrix compression via hierarchical matrices.
November 30, 2021
Inria, Saclay, France
Pierre Marchand
,
Pierre-Henri Tournier
Project
Slides
High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem
New frequency-explicit bounds on the norms of both the regularised combined field integral equation and its inverse.
October 17, 2021
Soellerhaus, Hirschegg, Austria
Jeffrey Galkowski
,
Pierre Marchand
,
Euan Spence
High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem
New frequency-explicit bounds on the norms of both the regularised combined field integral equation and its inverse.
October 7, 2021
Nice, France
Jeffrey Galkowski
,
Pierre Marchand
,
Euan Spence
Slides
Une analyse de convergence pour GMRES appliquée aux équations intégrales de frontière pour l'équation d'Helmholtz en présence de cavités elliptiques
Une nouvelle approche pour étudier la convergence de la méthode de GMRes appliquée à la résolution de l’équation de Helmholtz par formulation intégrale avec des cavités elliptique.
December 3, 2020
Online
Jeffrey Galkowski
,
Pierre Marchand
,
Alastair Spence
,
Euan Spence
Applying GMRES to Helmholtz boundary integral equations: how does the number of iterations depend on the frequency in the presence of strong trapping?
A new approach to study GMRes applied to Helmholtz boundary integral equation in presence of strong trapping.
November 24, 2020
Online
Jeffrey Galkowski
,
Pierre Marchand
,
Alastair Spence
,
Euan Spence
Slides
Applying GMRES to Helmholtz boundary integral equations: how does the number of iterations depend on the frequency in the presence of strong trapping?
A new approach to study GMRes applied to Helmholtz boundary integral equation in presence of strong trapping.
October 9, 2020
Soellerhaus, Hirschegg, Austria
Pierre Marchand
,
Alastair Spence
,
Euan Spence
Schwarz methods and boundary integral equations
We present theoretical and numerical results about a new preconditioner for matrices stemming from the boundary element method.
September 12, 2020
Online
Xavier Claeys
,
Pierre Marchand
,
Frédéric Nataf
Robust coarse spaces for the boundary element method
We present theoretical and numerical results about a new preconditioner for matrices stemming from the boundary element method.
September 17, 2019
CIRM, Luminy, France
Xavier Claeys
,
Pierre Marchand
,
Frédéric Nataf
Slides
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