An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization

Niels Dollerup; Michael S. Jepsen; Lars Damkilde

An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization

Niels Dollerup, Michael S. Jepsen, Lars Damkilde

Danish Centre for Risk and Safety Management

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

Abstract

The artide describes a robust and effective implementation of the interior point optimization algorithm. The adopted method includes a precalculation step, which reduces the number of variables by fulfilling the equilibrium equations a priori. This work presents an improved implementation of the precalculation step, which utilizes the principals of the well-known frontal method. The succeeding optimization algorithm is also significantly optimized, by applying a parallel implementation, which eliminates the exponential growth in computational time relative to the element numbers.

Original language	English
Title of host publication	Proceedings of the 26th Nordic Seminar on Computational Mechanics : Oslo, 23-25 October 2013
Editors	Anders Logg, Kent-Andre Mardal, Andé Massing
Number of pages	3
Publisher	Center for Biomedical Computing, Simula Research Laboratory
Publication date	2013
Pages	50-53
ISBN (Print)	978-82-92593-12-7
Publication status	Published - 2013
Event	The 26th Nordic Seminar on Computational Mechanics - Oslo, Norway Duration: 23 Oct 2013 → 25 Oct 2013 Conference number: 26

Conference

Conference	The 26th Nordic Seminar on Computational Mechanics
Number	26
Country/Territory	Norway
City	Oslo
Period	23/10/2013 → 25/10/2013

Keywords

FEM Limit Analysis
Element Renumbering
Frontal Method
Interior Point Optimization
Parallel Computing

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Dollerup, N., Jepsen, M. S., & Damkilde, L. (2013). An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization. In A. Logg, K-A. Mardal, & A. Massing (Eds.), Proceedings of the 26th Nordic Seminar on Computational Mechanics: Oslo, 23-25 October 2013 (pp. 50-53). Center for Biomedical Computing, Simula Research Laboratory.

Dollerup, Niels ; Jepsen, Michael S. ; Damkilde, Lars. / An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization. Proceedings of the 26th Nordic Seminar on Computational Mechanics: Oslo, 23-25 October 2013. editor / Anders Logg ; Kent-Andre Mardal ; Andé Massing. Center for Biomedical Computing, Simula Research Laboratory, 2013. pp. 50-53

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title = "An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization",

abstract = "The artide describes a robust and effective implementation of the interior point optimization algorithm. The adopted method includes a precalculation step, which reduces the number of variables by fulfilling the equilibrium equations a priori. This work presents an improved implementation of the precalculation step, which utilizes the principals of the well-known frontal method. The succeeding optimization algorithm is also significantly optimized, by applying a parallel implementation, which eliminates the exponential growth in computational time relative to the element numbers.",

keywords = "FEM Limit Analysis, Element Renumbering, Frontal Method, Interior Point Optimization, Parallel Computing, FEM Limit Analysis, Element Renumbering, Frontal Method, Interior Point Optimization, Parallel Computing",

author = "Niels Dollerup and Jepsen, {Michael S.} and Lars Damkilde",

year = "2013",

language = "English",

isbn = "978-82-92593-12-7",

pages = "50--53",

editor = "Anders Logg and Mardal, {Kent-Andre } and And{\'e} Massing",

booktitle = "Proceedings of the 26th Nordic Seminar on Computational Mechanics",

publisher = "Center for Biomedical Computing, Simula Research Laboratory",

note = "The 26th Nordic Seminar on Computational Mechanics ; Conference date: 23-10-2013 Through 25-10-2013",

}

Dollerup, N, Jepsen, MS & Damkilde, L 2013, An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization. in A Logg, K-A Mardal & A Massing (eds), Proceedings of the 26th Nordic Seminar on Computational Mechanics: Oslo, 23-25 October 2013. Center for Biomedical Computing, Simula Research Laboratory, pp. 50-53, The 26th Nordic Seminar on Computational Mechanics, Oslo, Norway, 23/10/2013.

An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization. / Dollerup, Niels; Jepsen, Michael S.; Damkilde, Lars.
Proceedings of the 26th Nordic Seminar on Computational Mechanics: Oslo, 23-25 October 2013. ed. / Anders Logg; Kent-Andre Mardal; Andé Massing. Center for Biomedical Computing, Simula Research Laboratory, 2013. p. 50-53.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

TY - GEN

T1 - An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization

AU - Dollerup, Niels

AU - Jepsen, Michael S.

AU - Damkilde, Lars

N1 - Conference code: 26

PY - 2013

Y1 - 2013

N2 - The artide describes a robust and effective implementation of the interior point optimization algorithm. The adopted method includes a precalculation step, which reduces the number of variables by fulfilling the equilibrium equations a priori. This work presents an improved implementation of the precalculation step, which utilizes the principals of the well-known frontal method. The succeeding optimization algorithm is also significantly optimized, by applying a parallel implementation, which eliminates the exponential growth in computational time relative to the element numbers.

AB - The artide describes a robust and effective implementation of the interior point optimization algorithm. The adopted method includes a precalculation step, which reduces the number of variables by fulfilling the equilibrium equations a priori. This work presents an improved implementation of the precalculation step, which utilizes the principals of the well-known frontal method. The succeeding optimization algorithm is also significantly optimized, by applying a parallel implementation, which eliminates the exponential growth in computational time relative to the element numbers.

KW - FEM Limit Analysis

KW - Element Renumbering

KW - Frontal Method

KW - Interior Point Optimization

KW - Parallel Computing

KW - FEM Limit Analysis

KW - Element Renumbering

KW - Frontal Method

KW - Interior Point Optimization

KW - Parallel Computing

M3 - Article in proceeding

SN - 978-82-92593-12-7

SP - 50

EP - 53

BT - Proceedings of the 26th Nordic Seminar on Computational Mechanics

A2 - Logg, Anders

A2 - Mardal, Kent-Andre

A2 - Massing, Andé

PB - Center for Biomedical Computing, Simula Research Laboratory

T2 - The 26th Nordic Seminar on Computational Mechanics

Y2 - 23 October 2013 through 25 October 2013

ER -

An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization

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Keywords

AUB Link

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