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Title: Numerical linear algebra problems in structural analysis
Author: Kannan, Ramaseshan
ISNI:       0000 0004 5359 8923
Awarding Body: University of Manchester
Current Institution: University of Manchester
Date of Award: 2014
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A range of numerical linear algebra problems that arise in finite element-based structural analysis are considered. These problems were encountered when implementing the finite element method in the software package Oasys GSA. We present novel solutions to these problems in the form of a new method for error detection, algorithms with superior numerical effeciency and algorithms with scalable performance on parallel computers. The solutions and their corresponding software implementations have been integrated into GSA's program code and we present results that demonstrate the use of these implementations by engineers to solve real-world structural analysis problems.
Supervisor: Not available Sponsor: Arup UK
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Numerical Linear Algebra, Sparse Matrix algorithms, Structural Analysis, Numerical conditioning, Parallel programming