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Construction and solution of large systems of linear equations by the finite element method with the use of a compact scheme of storage in columns. (Russian) Zbl 0592.65017
A description of an algorithm for solving a symmetric system of linear algebraic equations arising from finite element approximations is presented. The method is based on the \(LDL^ T\) decomposition of the matrix which is stored in a compact form (including only the elements under the sky-line) out of core. The main point is that the decomposition is carried out block-wise, which minimizes the storage access. The presented programs are interesting but not self-contained.
Reviewer: R.D.Lazarov
MSC:
65F05 Direct numerical methods for linear systems and matrix inversion
15-04 Software, source code, etc. for problems pertaining to linear algebra
15A23 Factorization of matrices
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