Software framework ug4: Parallel multigrid on the hermit supercomputer

Ingo Heppner; Michael Lampe; Arne Nägel; Sebastian Reiter; Martin Rupp; Andreas Vogel; Gabriel Wittum

doi:10.1007/978-3-642-33374-3-32

Software framework ug4: Parallel multigrid on the hermit supercomputer

Ingo Heppner^*, Michael Lampe, Arne Nägel, Sebastian Reiter, Martin Rupp, Andreas Vogel, Gabriel Wittum

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The modeling of physical phenomena in a variety of fields of scientific interest lead to a formulation in terms of partial differential equations. Especially when complex geometries as the domain of definition are involved, a direct and exact solution is not accessible, but numerical schemes are used to compute an approximate discrete solution. In this report, we focus on elliptic and parabolic types of equations that include spatial operators of second order. When discretizing such problems using commonly known discretization schemes such as finite element methods or finite volume methods, large systems of linear equations arise naturally. Their solution takes the largest amount of the overall computing time.

Original language	English (US)
Title of host publication	High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012
Pages	435-449
Number of pages	15
DOIs	https://doi.org/10.1007/978-3-642-33374-3-32
State	Published - Sep 2 2013
Event	15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012 - Stuttgart, Germany Duration: Oct 10 2012 → Oct 11 2012

Publication series

Name	High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012

Other

Other	15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012
Country/Territory	Germany
City	Stuttgart
Period	10/10/12 → 10/11/12

ASJC Scopus subject areas

Software

Access to Document

10.1007/978-3-642-33374-3-32

Cite this

Heppner, I., Lampe, M., Nägel, A., Reiter, S., Rupp, M., Vogel, A., & Wittum, G. (2013). Software framework ug4: Parallel multigrid on the hermit supercomputer. In High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012 (pp. 435-449). (High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012). https://doi.org/10.1007/978-3-642-33374-3-32

Heppner, Ingo ; Lampe, Michael ; Nägel, Arne et al. / Software framework ug4 : Parallel multigrid on the hermit supercomputer. High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012. 2013. pp. 435-449 (High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012).

@inproceedings{4282b9f32ec74939b7e163ac9fa32c2f,

title = "Software framework ug4: Parallel multigrid on the hermit supercomputer",

abstract = "The modeling of physical phenomena in a variety of fields of scientific interest lead to a formulation in terms of partial differential equations. Especially when complex geometries as the domain of definition are involved, a direct and exact solution is not accessible, but numerical schemes are used to compute an approximate discrete solution. In this report, we focus on elliptic and parabolic types of equations that include spatial operators of second order. When discretizing such problems using commonly known discretization schemes such as finite element methods or finite volume methods, large systems of linear equations arise naturally. Their solution takes the largest amount of the overall computing time.",

author = "Ingo Heppner and Michael Lampe and Arne N{\"a}gel and Sebastian Reiter and Martin Rupp and Andreas Vogel and Gabriel Wittum",

year = "2013",

month = sep,

day = "2",

doi = "10.1007/978-3-642-33374-3-32",

language = "English (US)",

isbn = "9783642333736",

series = "High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012",

pages = "435--449",

booktitle = "High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012",

note = "15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012 ; Conference date: 10-10-2012 Through 11-10-2012",

}

Heppner, I, Lampe, M, Nägel, A, Reiter, S, Rupp, M, Vogel, A & Wittum, G 2013, Software framework ug4: Parallel multigrid on the hermit supercomputer. in High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012. High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012, pp. 435-449, 15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012, Stuttgart, Germany, 10/10/12. https://doi.org/10.1007/978-3-642-33374-3-32

Software framework ug4: Parallel multigrid on the hermit supercomputer. / Heppner, Ingo; Lampe, Michael; Nägel, Arne et al.
High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012. 2013. p. 435-449 (High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Software framework ug4

T2 - 15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012

AU - Heppner, Ingo

AU - Lampe, Michael

AU - Nägel, Arne

AU - Reiter, Sebastian

AU - Rupp, Martin

AU - Vogel, Andreas

AU - Wittum, Gabriel

PY - 2013/9/2

Y1 - 2013/9/2

N2 - The modeling of physical phenomena in a variety of fields of scientific interest lead to a formulation in terms of partial differential equations. Especially when complex geometries as the domain of definition are involved, a direct and exact solution is not accessible, but numerical schemes are used to compute an approximate discrete solution. In this report, we focus on elliptic and parabolic types of equations that include spatial operators of second order. When discretizing such problems using commonly known discretization schemes such as finite element methods or finite volume methods, large systems of linear equations arise naturally. Their solution takes the largest amount of the overall computing time.

AB - The modeling of physical phenomena in a variety of fields of scientific interest lead to a formulation in terms of partial differential equations. Especially when complex geometries as the domain of definition are involved, a direct and exact solution is not accessible, but numerical schemes are used to compute an approximate discrete solution. In this report, we focus on elliptic and parabolic types of equations that include spatial operators of second order. When discretizing such problems using commonly known discretization schemes such as finite element methods or finite volume methods, large systems of linear equations arise naturally. Their solution takes the largest amount of the overall computing time.

UR - http://www.scopus.com/inward/record.url?scp=84883065398&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-33374-3-32

DO - 10.1007/978-3-642-33374-3-32

M3 - Conference contribution

SN - 9783642333736

T3 - High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012

SP - 435

EP - 449

BT - High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012

Y2 - 10 October 2012 through 11 October 2012

ER -

Heppner I, Lampe M, Nägel A, Reiter S, Rupp M, Vogel A et al. Software framework ug4: Parallel multigrid on the hermit supercomputer. In High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012. 2013. p. 435-449. (High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012). doi: 10.1007/978-3-642-33374-3-32

Software framework ug4: Parallel multigrid on the hermit supercomputer

Abstract

Publication series

Other

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this