A massively parallel multigrid method with level dependent smoothers for problems with high anisotropies

Sebastian Reiter; Andreas Vogel; Arne Nägel; Gabriel Wittum

doi:10.1007/978-3-319-47066-5_45

A massively parallel multigrid method with level dependent smoothers for problems with high anisotropies

Sebastian Reiter^*, Andreas Vogel, Arne Nägel, Gabriel Wittum

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

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

3 Scopus citations

Abstract

Anisotropic layers, as often seen in biological and geological domains, impose difficulties to several aspects of numerical simulations. In this article we examine how the highly scalable approach to massively parallel geometric multigrid solvers presented in Reiter et al. (Comput Vis Sci 16(4):151–164, 2013) can be extended to problem domains featuring such anisotropies. Considering the real world problem of drug diffusion through the human skin we combine hierarchically distributed multigrids, anisotropic refinement, and level dependent smoothing strategies to create a robust and highly scalable multigrid solver for anisotropic domains.

Original language	English (US)
Title of host publication	High Performance Computing in Science and Engineering '16
Subtitle of host publication	Transactions of the High Performance Computing Center Stuttgart (HLRS) 2016
Publisher	Springer International Publishing AG
Pages	667-675
Number of pages	9
ISBN (Electronic)	9783319470665
ISBN (Print)	9783319470658
DOIs	https://doi.org/10.1007/978-3-319-47066-5_45
State	Published - Jan 1 2017

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG 2016. All rights reserved.

Keywords

Anisotropy
Multigrid
Parallelization
Smoothing

ASJC Scopus subject areas

General Computer Science
General Physics and Astronomy
General Mathematics
General Veterinary

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10.1007/978-3-319-47066-5_45

Cite this

Reiter, S., Vogel, A., Nägel, A., & Wittum, G. (2017). A massively parallel multigrid method with level dependent smoothers for problems with high anisotropies. In High Performance Computing in Science and Engineering '16: Transactions of the High Performance Computing Center Stuttgart (HLRS) 2016 (pp. 667-675). Springer International Publishing AG. https://doi.org/10.1007/978-3-319-47066-5_45

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Reiter, S, Vogel, A, Nägel, A & Wittum, G 2017, A massively parallel multigrid method with level dependent smoothers for problems with high anisotropies. in High Performance Computing in Science and Engineering '16: Transactions of the High Performance Computing Center Stuttgart (HLRS) 2016. Springer International Publishing AG, pp. 667-675. https://doi.org/10.1007/978-3-319-47066-5_45

A massively parallel multigrid method with level dependent smoothers for problems with high anisotropies. / Reiter, Sebastian; Vogel, Andreas; Nägel, Arne et al.
High Performance Computing in Science and Engineering '16: Transactions of the High Performance Computing Center Stuttgart (HLRS) 2016. Springer International Publishing AG, 2017. p. 667-675.

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

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AU - Nägel, Arne

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AB - Anisotropic layers, as often seen in biological and geological domains, impose difficulties to several aspects of numerical simulations. In this article we examine how the highly scalable approach to massively parallel geometric multigrid solvers presented in Reiter et al. (Comput Vis Sci 16(4):151–164, 2013) can be extended to problem domains featuring such anisotropies. Considering the real world problem of drug diffusion through the human skin we combine hierarchically distributed multigrids, anisotropic refinement, and level dependent smoothing strategies to create a robust and highly scalable multigrid solver for anisotropic domains.

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Reiter S, Vogel A, Nägel A, Wittum G. A massively parallel multigrid method with level dependent smoothers for problems with high anisotropies. In High Performance Computing in Science and Engineering '16: Transactions of the High Performance Computing Center Stuttgart (HLRS) 2016. Springer International Publishing AG. 2017. p. 667-675 doi: 10.1007/978-3-319-47066-5_45

A massively parallel multigrid method with level dependent smoothers for problems with high anisotropies

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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