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Crotty, J. M.

A block equation solver for large unsymmetric matrices arising in the boundary integral equation method. (English) Zbl 0485.73068

Int. J. Numer. Methods Eng. 18, 997-1017 (1982).
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Cited in 2 Reviews
Cited in 22 Documents

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
65R20 Numerical methods for integral equations
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids

Keywords:

block equation solver; large unsymmetric systems; boundary integral equation method; homogeneous or piecewise homogeneous solids; Gaussian elimination; ignores many of large groups of zeros; restrains growth of number of non-zero matrix entries; memory requirements and computation times reduced
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References:

[1] and , ’Two-dimensional boundary integral equation analysis for non-homogeneous mining applications’, in Recent Advances in Boundary Element Methods (Ed. ), Pentech Press, London, 1978.
[2] The Finite Element Method in Engineering Science, McGraw-Hill, London, 1971.
[3] and , ’User’s manual for Program BITEM–two dimensional elastic stress analysis for piecewise homogeneous solids’, Geomechanics Computer Program No. 3, CSIRO Division of Applied Geomechanics, Australia (1980).
[4] ’A further development of the boundary integral technique for elastostatics’, Ph.D. thesis, Univ. of Southampton (1975).
[5] Lachat, Comp. Meth. Appl. Mech. Eng. 10 pp 273– (1977)
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