Parallel Solution of Triangular Systems on Distributed-Memory Multiprocessors

1988 ◽  
Vol 9 (3) ◽  
pp. 558-588 ◽  
Author(s):  
Michael T. Heath ◽  
Charles H. Romine
Keyword(s):  
Distributed Memory ◽  
Parallel Solution ◽  
Triangular Systems

scholarly journals PARALLEL APPROACH TO SOLVE OF THE DIRECT SOLUTION OF LARGE SPARSE SYSTEMS OF LINEAR EQUATIONS

2017 ◽  
Vol 13 ◽  
pp. 16
Author(s):  
Michal Bošanský ◽  
Bořek Patzák
Keyword(s):  
Finite Element ◽  
Numerical Solution ◽  
Distributed Memory ◽  
Linear Equations ◽  
Direct Solution ◽  
Parallel Solution ◽  
Finite Element Software ◽  
Systems Of Linear Equations ◽  
Sparse Systems ◽  
Symmetric Systems

The paper deals with parallel approach for the numerical solution of large, sparse, non-symmetric systems of linear equations, that can be part of any finite element software. In this contribution, the differences between the sequential and parallel solution are highlighted and the approach to efficiently interface with distributed memory version of SuperLU solver is described.

scholarly journals Optimal Parallel Solution of Sparse Triangular Systems

1993 ◽  
Vol 14 (2) ◽  
pp. 446-460 ◽  
Author(s):  
Fernando L. Alvarado ◽  
Robert Schreiber
Keyword(s):  
Parallel Solution ◽  
Triangular Systems

Parallel Computation of LV Hemodynamics

2001 ◽  
Author(s):  
B. V. Rathish Kumar ◽  
T. Yamaguchi ◽  
H. Liu ◽  
R. Himeno
Keyword(s):  
Left Ventricle ◽  
Parallel Computation ◽  
Distributed Memory ◽  
Processing System ◽  
Flow Dynamics ◽  
Parallel Solution ◽  
Computer Visualization ◽  
Graphical Visualization ◽  
Efficiency Factors ◽  
Computational Strategy

Abstract Computer Visualization of hemodynamics in Left Ventricle (LV) is of great significance in treating patients with dilated cardiomyopathy. Numerical simulations that enable such graphical visualization are computationally very intensive. So in the current study we propose to discuss details of the parallel computation of LV flow dynamics on distributed memory based vector parallel processing system (VPP700) under UXP/VPPF90. Speedup and efficiency factors obtained by the present parallel computational strategy will be presented. Results pertaining to the parallel solution to steady flow dynamics in LV model will also be presented.

Parallel solution of triangular systems of equations

1988 ◽  
Vol 6 (1) ◽  
pp. 109-114 ◽  
Author(s):  
Charles H Romine ◽  
James M Ortega
Keyword(s):  
Systems Of Equations ◽  
Parallel Solution ◽  
Triangular Systems
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