elib
DLR-Header
DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

Linearly scaling HDG: The hybridizable interior penalty method

Huismann, Immo and Stiller, Jörg and Fröhlich, Jochen (2021) Linearly scaling HDG: The hybridizable interior penalty method. International Conference on Spectral and High Order Methods, 2021-07-12 - 2021-07-16, Wien, Österreich.

Full text not available from this repository.

Abstract

For elliptic equations in three dimensions, the runtime of discontinuous Galerkin methods typically scales with O(p^4 n_e) , where p is the polynomial degree and n_e the number of elements and structure exploitation via tensor-product bases is assumed. For local discontinuous Galerkin methods that allow for hybridization, the authors were able to linearize the runtime, i.e. to create a solver that scales with O(p^3 n_e) = O (n_DOF), where n_DOF are the total number of degrees of freedom. This contribution extends the developed techniques to the hybridizable interior penalty method, first deriving a linearly scaling elliptic operator, thereafter a linearly scaling block smoothers and, lastly, combining both into a linearly scaling multigrid method, i.e. O(p^3 n_e) = O (n_DOF). Runtime tests confirm that the solver requires a similar amount of runtime per degree of freedom as low-order solvers, enabling high-order simulations that are as cheap as low-order simulations.

Item URL in elib:https://elib.dlr.de/144614/
Document Type:Conference or Workshop Item (Speech)
Title:Linearly scaling HDG: The hybridizable interior penalty method
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Huismann, ImmoUNSPECIFIEDhttps://orcid.org/0009-0008-5827-9266UNSPECIFIED
Stiller, JörgUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Fröhlich, JochenUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Date:2021
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Discontinuous Galerkin, Substructuring Hybridizable Discontinuous Galerkin, elliptic equations, multigrid
Event Title:International Conference on Spectral and High Order Methods
Event Location:Wien, Österreich
Event Type:international Conference
Event Start Date:12 July 2021
Event End Date:16 July 2021
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Efficient Vehicle
DLR - Research area:Aeronautics
DLR - Program:L EV - Efficient Vehicle
DLR - Research theme (Project):L - Digital Technologies
Location: Dresden
Institutes and Institutions:Institute of Software Methods for Product Virtualization > High Perfomance Computing
Deposited By: Huismann, Immo
Deposited On:18 Oct 2021 13:06
Last Modified:24 Apr 2024 20:43

Repository Staff Only: item control page

Browse
Search
Help & Contact
Information
OpenAIRE Validator logo electronic library is running on EPrints 3.3.12
Website and database design: Copyright © German Aerospace Center (DLR). All rights reserved.