---
_id: '21587'
abstract:
- lang: eng
text: Solving partial differential equations on unstructured grids is a cornerstone
of engineering and scientific computing. Nowadays, heterogeneous parallel platforms
with CPUs, GPUs, and FPGAs enable energy-efficient and computationally demanding
simulations. We developed the HighPerMeshes C++-embedded Domain-Specific Language
(DSL) for bridging the abstraction gap between the mathematical and algorithmic
formulation of mesh-based algorithms for PDE problems on the one hand and an increasing
number of heterogeneous platforms with their different parallel programming and
runtime models on the other hand. Thus, the HighPerMeshes DSL aims at higher productivity
in the code development process for multiple target platforms. We introduce the
concepts as well as the basic structure of the HighPerMeshes DSL, and demonstrate
its usage with three examples, a Poisson and monodomain problem, respectively,
solved by the continuous finite element method, and the discontinuous Galerkin
method for Maxwell’s equation. The mapping of the abstract algorithmic description
onto parallel hardware, including distributed memory compute clusters, is presented.
Finally, the achievable performance and scalability are demonstrated for a typical
example problem on a multi-core CPU cluster.
author:
- first_name: Samer
full_name: Alhaddad, Samer
id: '42456'
last_name: Alhaddad
- first_name: Jens
full_name: Förstner, Jens
id: '158'
last_name: Förstner
orcid: 0000-0001-7059-9862
- first_name: Stefan
full_name: Groth, Stefan
last_name: Groth
- first_name: Daniel
full_name: Grünewald, Daniel
last_name: Grünewald
- first_name: Yevgen
full_name: Grynko, Yevgen
id: '26059'
last_name: Grynko
- first_name: Frank
full_name: Hannig, Frank
last_name: Hannig
- first_name: Tobias
full_name: Kenter, Tobias
id: '3145'
last_name: Kenter
- first_name: Franz-Josef
full_name: Pfreundt, Franz-Josef
last_name: Pfreundt
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
- first_name: Merlind
full_name: Schotte, Merlind
last_name: Schotte
- first_name: Thomas
full_name: Steinke, Thomas
last_name: Steinke
- first_name: Jürgen
full_name: Teich, Jürgen
last_name: Teich
- first_name: Martin
full_name: Weiser, Martin
last_name: Weiser
- first_name: Florian
full_name: Wende, Florian
last_name: Wende
citation:
ama: 'Alhaddad S, Förstner J, Groth S, et al. HighPerMeshes – A Domain-Specific
Language for Numerical Algorithms on Unstructured Grids. In: Euro-Par 2020:
Parallel Processing Workshops. ; 2021. doi:10.1007/978-3-030-71593-9_15'
apa: 'Alhaddad, S., Förstner, J., Groth, S., Grünewald, D., Grynko, Y., Hannig,
F., Kenter, T., Pfreundt, F.-J., Plessl, C., Schotte, M., Steinke, T., Teich,
J., Weiser, M., & Wende, F. (2021). HighPerMeshes – A Domain-Specific Language
for Numerical Algorithms on Unstructured Grids. In Euro-Par 2020: Parallel
Processing Workshops. https://doi.org/10.1007/978-3-030-71593-9_15'
bibtex: '@inbook{Alhaddad_Förstner_Groth_Grünewald_Grynko_Hannig_Kenter_Pfreundt_Plessl_Schotte_et
al._2021, place={Cham}, title={HighPerMeshes – A Domain-Specific Language for
Numerical Algorithms on Unstructured Grids}, DOI={10.1007/978-3-030-71593-9_15},
booktitle={Euro-Par 2020: Parallel Processing Workshops}, author={Alhaddad, Samer
and Förstner, Jens and Groth, Stefan and Grünewald, Daniel and Grynko, Yevgen
and Hannig, Frank and Kenter, Tobias and Pfreundt, Franz-Josef and Plessl, Christian
and Schotte, Merlind and et al.}, year={2021} }'
chicago: 'Alhaddad, Samer, Jens Förstner, Stefan Groth, Daniel Grünewald, Yevgen
Grynko, Frank Hannig, Tobias Kenter, et al. “HighPerMeshes – A Domain-Specific
Language for Numerical Algorithms on Unstructured Grids.” In Euro-Par 2020:
Parallel Processing Workshops. Cham, 2021. https://doi.org/10.1007/978-3-030-71593-9_15.'
ieee: 'S. Alhaddad et al., “HighPerMeshes – A Domain-Specific Language for
Numerical Algorithms on Unstructured Grids,” in Euro-Par 2020: Parallel Processing
Workshops, Cham, 2021.'
mla: 'Alhaddad, Samer, et al. “HighPerMeshes – A Domain-Specific Language for Numerical
Algorithms on Unstructured Grids.” Euro-Par 2020: Parallel Processing Workshops,
2021, doi:10.1007/978-3-030-71593-9_15.'
short: 'S. Alhaddad, J. Förstner, S. Groth, D. Grünewald, Y. Grynko, F. Hannig,
T. Kenter, F.-J. Pfreundt, C. Plessl, M. Schotte, T. Steinke, J. Teich, M. Weiser,
F. Wende, in: Euro-Par 2020: Parallel Processing Workshops, Cham, 2021.'
date_created: 2021-03-31T19:39:42Z
date_updated: 2023-09-26T11:40:25Z
ddc:
- '004'
department:
- _id: '61'
- _id: '230'
- _id: '429'
- _id: '27'
- _id: '518'
doi: 10.1007/978-3-030-71593-9_15
file:
- access_level: closed
content_type: application/pdf
creator: fossie
date_created: 2021-03-31T19:42:52Z
date_updated: 2021-03-31T19:42:52Z
file_id: '21588'
file_name: 2021-03 Alhaddad2021_Chapter_HighPerMeshesADomain-SpecificL.pdf
file_size: 564398
relation: main_file
success: 1
file_date_updated: 2021-03-31T19:42:52Z
has_accepted_license: '1'
keyword:
- tet_topic_hpc
language:
- iso: eng
place: Cham
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: 'Euro-Par 2020: Parallel Processing Workshops'
publication_identifier:
isbn:
- '9783030715922'
- '9783030715939'
issn:
- 0302-9743
- 1611-3349
publication_status: published
quality_controlled: '1'
status: public
title: HighPerMeshes – A Domain-Specific Language for Numerical Algorithms on Unstructured
Grids
type: book_chapter
user_id: '15278'
year: '2021'
...