A physical interpretation of factorization and factor modification in structural analysis (Q790661)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A physical interpretation of factorization and factor modification in structural analysis |
scientific article; zbMATH DE number 3848744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A physical interpretation of factorization and factor modification in structural analysis |
scientific article; zbMATH DE number 3848744 |
Statements
A physical interpretation of factorization and factor modification in structural analysis (English)
0 references
1983
0 references
In this paper, the interpretations of both the column-oriented and the row-oriented algorithms of \(LDL^ t\) factorization are given in terms of structural analysis. Based on the interpretation, the sparsity of the matrix factors for a structural stiffness matrix is derived. Modifications of the matrix factors L and \(L^ t\) in structural reanalysis are examined. Such physical interpretation is important for the further development of efficient finite element solution methods.
0 references
physical interpretation
0 references
LDL-t factorization
0 references
Bennett's method for matrix factor modification
0 references
sparsity of matrix factors
0 references
effect on matrix modification
0 references
0 references
