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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Bibliographic Details
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
Description
Summary: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.

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