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A block equation solver for large unsymmetric matrices arising in the boundary integral equation method
Author(s) -
Crotty J. M.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180705
Subject(s) - solver , mathematics , piecewise , homogeneous , computation , boundary (topology) , integral equation , gaussian elimination , block (permutation group theory) , gaussian , matrix (chemical analysis) , piecewise linear function , mathematical analysis , boundary value problem , mathematical optimization , algorithm , geometry , physics , materials science , combinatorics , quantum mechanics , composite material
An 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.