scholarly journals Matrix symmetrization and sparse direct solvers

2020 ◽  
pp. 128-137
Author(s):  
Raluca Portase ◽  
Bora Uçar
Keyword(s):  
Direct Solvers

Some uses of direct solvers in computational fluid mechanics

1987 ◽  
Author(s):  
HARRY DWYER ◽  
KENICHI MATSUMO ◽  
SOKOL IBRANI ◽  
M. HAFEZ
Keyword(s):  
Fluid Mechanics ◽  
Computational Fluid Mechanics ◽  
Direct Solvers

scholarly journals APPLICATION OF RIGID LINKS IN STRUCTURAL DESIGN MODELS

2017 ◽  
Vol 13 (3) ◽  
pp. 119-137 ◽  
Author(s):  
Sergey Yu. Fialko
Keyword(s):  
Finite Element ◽  
Structural Design ◽  
Stiffness Matrix ◽  
Sparse Matrix ◽  
Element Model ◽  
Rigid Bodies ◽  
Design Models ◽  
Adjacency Graph ◽  
Direct Solvers ◽  
The Finite Element Model

A special finite element modelling rigid links is proposed for the linear static and buckling analysis. Unlike the classical approach based on the theorems of rigid body kinematics, the proposed approach preserves the similarity between the adjacency graph for a sparse matrix and the adjacency graph for nodes of the finite element model, which allows applying sparse direct solvers more effectively. Besides, the proposed approach allows significantly reducing the number of nonzero entries in the factored stiffness matrix in comparison with the classical one, which greatly reduces the duration of the solution. For buckling problems of structures containing rigid bodies, this approach gives correct results. Several examples demonstrate its efficiency.

scholarly journals New Parallel Sparse Direct Solvers for Multicore Architectures

Algorithms ◽  
2013 ◽  
Vol 6 (4) ◽  
pp. 702-725 ◽  
Author(s):  
Jonathan Hogg ◽  
Jennifer Scott
Keyword(s):  
Multicore Architectures ◽  
Direct Solvers
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