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

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 pre...

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Main Authors: Dollerup, Niels, Jepsen, Michael S., Damkilde, Lars
Other Authors: Logg, Anders, Mardal, Kent-Andre, Massing, Andé
Format: Article in Journal/Newspaper
Language:English
Published: Center for Biomedical Computing, Simula Research Laboratory 2013
Subjects:
FEM Limit Analysis
Element Renumbering
Frontal Method
Interior Point Optimization
Parallel Computing
Artide
Online Access:https://vbn.aau.dk/da/publications/297503b3-6c6d-44b6-bc8a-777051571d13
id ftalborgunivpubl:oai:pure.atira.dk:publications/297503b3-6c6d-44b6-bc8a-777051571d13
record_format openpolar
spelling ftalborgunivpubl:oai:pure.atira.dk:publications/297503b3-6c6d-44b6-bc8a-777051571d13 2024-09-15T17:55:06+00:00 An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization Dollerup, Niels Jepsen, Michael S. Damkilde, Lars Logg, Anders Mardal, Kent-Andre Massing, Andé 2013 https://vbn.aau.dk/da/publications/297503b3-6c6d-44b6-bc8a-777051571d13 eng eng Center for Biomedical Computing, Simula Research Laboratory https://vbn.aau.dk/da/publications/297503b3-6c6d-44b6-bc8a-777051571d13 urn:ISBN:978-82-92593-12-7 info:eu-repo/semantics/closedAccess 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 . Center for Biomedical Computing, Simula Research Laboratory , pp. 50-53 , The 26th Nordic Seminar on Computational Mechanics , Oslo , Norway , 23/10/2013 . FEM Limit Analysis Element Renumbering Frontal Method Interior Point Optimization Parallel Computing contributionToPeriodical 2013 ftalborgunivpubl 2024-07-10T12:41:33Z 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. Article in Journal/Newspaper Artide Aalborg University's Research Portal
institution Open Polar
collection Aalborg University's Research Portal
op_collection_id ftalborgunivpubl
language English
topic FEM Limit Analysis
Element Renumbering
Frontal Method
Interior Point Optimization
Parallel Computing
spellingShingle FEM Limit Analysis
Element Renumbering
Frontal Method
Interior Point Optimization
Parallel Computing
Dollerup, Niels
Jepsen, Michael S.
Damkilde, Lars
An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization
topic_facet FEM Limit Analysis
Element Renumbering
Frontal Method
Interior Point Optimization
Parallel Computing
description 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.
author2 Logg, Anders
Mardal, Kent-Andre
Massing, Andé
format Article in Journal/Newspaper
author Dollerup, Niels
Jepsen, Michael S.
Damkilde, Lars
author_facet Dollerup, Niels
Jepsen, Michael S.
Damkilde, Lars
author_sort Dollerup, Niels
title An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization
title_short An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization
title_full An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization
title_fullStr An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization
title_full_unstemmed An Effective, Robust And Parallel Implementation Of An Interior Point Algorithm For Limit State Optimization
title_sort effective, robust and parallel implementation of an interior point algorithm for limit state optimization
publisher Center for Biomedical Computing, Simula Research Laboratory
publishDate 2013
url https://vbn.aau.dk/da/publications/297503b3-6c6d-44b6-bc8a-777051571d13
genre Artide
genre_facet Artide
op_source 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 . Center for Biomedical Computing, Simula Research Laboratory , pp. 50-53 , The 26th Nordic Seminar on Computational Mechanics , Oslo , Norway , 23/10/2013 .
op_relation https://vbn.aau.dk/da/publications/297503b3-6c6d-44b6-bc8a-777051571d13
urn:ISBN:978-82-92593-12-7
op_rights info:eu-repo/semantics/closedAccess
_version_ 1810431422681317376

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