Robust and parallel scalable iterative solutions for large-scale finite cell analyses

J.N. Jomo, F. de Prenter, M. Elhaddad, D. D'Angella, C.V. Verhoosel, S. Kollmannsberger, J.S. Kirschke, V. Nübel, E.H. van Brummelen, E. Rank

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2 Citaties (Scopus)

Uittreksel

The finite cell method is a flexible discretization technique for numerical analysis on domains with complex geometries. By using a non-boundary conforming computational domain that can be easily meshed, automatized computations on a wide range of geometrical models can be performed. The application of the finite cell method, and other immersed methods, to large real-life and industrial problems is often limited due to the conditioning problems associated with these methods. These conditioning problems have caused researchers to resort to direct solution methods. This significantly limits the maximum size of solvable systems. Iterative solvers are better suited for large-scale computations than their direct counterparts due to their lower memory requirements and suitability for parallel computing. These benefits can, however, only be exploited when systems are properly conditioned. In this contribution we present an Additive-Schwarz type preconditioner that enables efficient and parallel scalable iterative solutions of large-scale multi-level hp-refined finite cell systems.

TaalEngels
Pagina's14-30
Aantal pagina's17
TijdschriftFinite Elements in Analysis and Design
Volume163
DOI's
StatusGepubliceerd - 1 okt 2019

Vingerafdruk

Iterative Solution
Cell
Parallel processing systems
Numerical analysis
Conditioning
Data storage equipment
Geometry
Additive Schwarz
Iterative Solvers
Complex Geometry
Parallel Computing
Preconditioner
Numerical Analysis
Discretization
Requirements
Range of data

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    Citeer dit

    Jomo, J.N. ; de Prenter, F. ; Elhaddad, M. ; D'Angella, D. ; Verhoosel, C.V. ; Kollmannsberger, S. ; Kirschke, J.S. ; Nübel, V. ; van Brummelen, E.H. ; Rank, E./ Robust and parallel scalable iterative solutions for large-scale finite cell analyses. In: Finite Elements in Analysis and Design. 2019 ; Vol. 163. blz. 14-30
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    abstract = "The finite cell method is a flexible discretization technique for numerical analysis on domains with complex geometries. By using a non-boundary conforming computational domain that can be easily meshed, automatized computations on a wide range of geometrical models can be performed. The application of the finite cell method, and other immersed methods, to large real-life and industrial problems is often limited due to the conditioning problems associated with these methods. These conditioning problems have caused researchers to resort to direct solution methods. This significantly limits the maximum size of solvable systems. Iterative solvers are better suited for large-scale computations than their direct counterparts due to their lower memory requirements and suitability for parallel computing. These benefits can, however, only be exploited when systems are properly conditioned. In this contribution we present an Additive-Schwarz type preconditioner that enables efficient and parallel scalable iterative solutions of large-scale multi-level hp-refined finite cell systems.",
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    author = "J.N. Jomo and {de Prenter}, F. and M. Elhaddad and D. D'Angella and C.V. Verhoosel and S. Kollmannsberger and J.S. Kirschke and V. N{\"u}bel and {van Brummelen}, E.H. and E. Rank",
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    Robust and parallel scalable iterative solutions for large-scale finite cell analyses. / Jomo, J.N.; de Prenter, F.; Elhaddad, M.; D'Angella, D.; Verhoosel, C.V.; Kollmannsberger, S.; Kirschke, J.S.; Nübel, V.; van Brummelen, E.H.; Rank, E.

    In: Finite Elements in Analysis and Design, Vol. 163, 01.10.2019, blz. 14-30.

    Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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    AU - de Prenter,F.

    AU - Elhaddad,M.

    AU - D'Angella,D.

    AU - Verhoosel,C.V.

    AU - Kollmannsberger,S.

    AU - Kirschke,J.S.

    AU - Nübel,V.

    AU - van Brummelen,E.H.

    AU - Rank,E.

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