DOI: 10.1002/nme.1620180705. A block equation solver for large unsymmetric matrices arising in the boundary integral equation method

A block equation solver for large unsymmetric matrices arising in the boundary integral equation method

10.1002/nme.1620180705

Crossref journal-article

Wiley

International Journal for Numerical Methods in Engineering (311)

Abstract

AbstractAn equation solver for the large unsymmetric systems of linear equations arising in the application of the boundary integral equation method to problems of linear elasticity in homogeneous or piecewise homogeneous solids is presented. The solver uses Gaussian elimination. The advantages of the solver over many existing eliminational or iterational methods are that it ignores many of the large groups of zeros that occur in piecewise homogeneous work, and also restrains growth of the number of non‐zero matrix entries. Memory requirements and computation times therefore are reduced for many piecewise homogeneous problems.

Bibliography

Crotty, J. M. (1982). A block equation solver for large unsymmetric matrices arising in the boundary integral equation method. International Journal for Numerical Methods in Engineering, 18(7), 997â1017. Portico.

Authors 1

J. M. Crotty (first)

References 5 Referenced 62

{'key': 'e_1_2_1_2_2', 'volume-title': 'Recent Advances in Boundary Element Methods', 'author': 'Wardle L. J.', 'year': '1978'} / Recent Advances in Boundary Element Methods by Wardle L. J. (1978)
{'key': 'e_1_2_1_3_2', 'volume-title': 'The Finite Element Method in Engineering Science', 'author': 'Zienkiewicz O. C.', 'year': '1971'} / The Finite Element Method in Engineering Science by Zienkiewicz O. C. (1971)
{'key': 'e_1_2_1_4_2', 'volume-title': 'Geomechanics Computer Program No. 3', 'author': 'Crotty J. M.', 'year': '1980'} / Geomechanics Computer Program No. 3 by Crotty J. M. (1980)
J. C.Lachat ‘A further development of the boundary integral technique for elastostatics’ Ph.D. thesis Univ. of Southampton (1975).
10.1016/0045-7825(77)90073-1

Dates

Type	When
Created	20 years ago (Aug. 9, 2005, 2:29 a.m.)
Deposited	1 year, 9 months ago (Nov. 12, 2023, 6:55 a.m.)
Indexed	1 year, 9 months ago (Nov. 19, 2023, 5:54 a.m.)
Issued	43 years, 1 month ago (July 1, 1982)
Published	43 years, 1 month ago (July 1, 1982)
Published Online	20 years, 2 months ago (June 21, 2005)
Published Print	43 years, 1 month ago (July 1, 1982)

Funders 0

None

BibTeX

@article{Crotty_1982, title={A block equation solver for large unsymmetric matrices arising in the boundary integral equation method}, volume={18}, ISSN={1097-0207}, url={http://dx.doi.org/10.1002/nme.1620180705}, DOI={10.1002/nme.1620180705}, number={7}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Crotty, J. M.}, year={1982}, month=jul, pages={997–1017} }

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