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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: M. Papadrakakis, B.H.V. Topping
Chapter 1

MA62 - A Frontal Code for Sparse Positive-Definite Symmetric Systems from Finite Element Applications

I.S. Duff+* and J.A. Scott+

+Centre Europeen de Recherche et de Formation Avancee en Calcul Scientifique (CERFACS), Toulouse, France
*Rutherford Appleton Laboratory, Oxfordshire, England, UK

Full Bibliographic Reference for this chapter
I.S. Duff, J.A. Scott, "MA62 - A Frontal Code for Sparse Positive-Definite Symmetric Systems from Finite Element Applications", in M. Papadrakakis, B.H.V. Topping, (Editors), "Innovative Computational Methods for Structural Mechanics", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 1, pp 1-25, 1999. doi:10.4203/csets.1.1
We describe the design, implementation, and performance of a frontal code for the solution of large sparse symmetric systems of linear finite-element equations. The code is intended primarily for positive-definite systems since numerical pivoting is not performed. The resulting software package, MA62, will be included in Release 13 of the Harwell Subroutine Library (HSL). We illustrate the performance of our new code on a range of problems arising from real engineering and industrial applications. The performance of the code is compared with that of the HSL general frontal solver MA42 and with other positive-definite codes from the Harwell Subroutine Library.

This paper is a reduced version of the Rutherford Appleton Laboratory Technical Report RAL-TR-97-012.

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