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

Niels Dollerup, Michael S. Jepsen, Lars Damkilde

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review


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 languageEnglish
Title of host publicationProceedings of the 26th Nordic Seminar on Computational Mechanics : Oslo, 23-25 October 2013
EditorsAnders Logg, Kent-Andre Mardal, Andé Massing
Number of pages3
PublisherCenter for Biomedical Computing, Simula Research Laboratory
Publication date2013
ISBN (Print)978-82-92593-12-7
Publication statusPublished - 2013
EventThe 26th Nordic Seminar on Computational Mechanics - Oslo, Norway
Duration: 23 Oct 201325 Oct 2013
Conference number: 26


ConferenceThe 26th Nordic Seminar on Computational Mechanics


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

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