edoc

Parallel Controllability Methods For the Helmholtz Equation

Grote, Marcus J. and Nataf, Frédéric and Tang, Jet Hoe and Tournier, Pierre-Henri. (2019) Parallel Controllability Methods For the Helmholtz Equation. Preprints Fachbereich Mathematik, 2019 (03).

[img]
Preview
PDF
17Mb

Official URL: https://edoc.unibas.ch/69688/

Downloads: Statistics Overview

Abstract

The Helmholtz equation is notoriously difficult to solve with standard numerical methods, increasingly so, in fact, at higher frequencies. Controllability methods instead transform the problem back to the time-domain, where they seek the time-harmonic solution of the corresponding time-dependent wave equation. Two different approaches are considered here based either on the first or second-order formulation of the wave equation. Both are extended to general boundary-value problems governed by the Helmholtz equation and lead to robust and inherently parallel algorithms. Numerical results illustrate the accuracy, convergence and strong scalability of controllability methods for the solution of high frequency Helmholtz equations with up to a billion unknowns on massively parallel architectures.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Grote, Marcus J. and Tang, Jet Hoe
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:29 Mar 2019 09:43
Deposited On:29 Mar 2019 09:43

Repository Staff Only: item control page