AP-AMG

July 10, 2006

About Us

AP-AMG is a high performance matrix solver using the AMG (Algebraic Multigrid) method we developed.

A matrix solver is a tool for solving linear equations for fluid dynamics, structural analysis or any other linear systems. The AMG method is a highly refined method which efficiently solves a system of linear equations by using coarse-grid based on the characteristics of coefficient matrix of a given fine-grid.

AP-AMG is a real-life industrial problem solver and is among the world's best.

AP-AMG

Performances of the parallel version of AP-AMG is shown here. The problem is the following structural analysis model, which is a part of those tested in the single version

Model No. of
Nodes DOFs
/Nodes DOFs

Solid_Tet10_S01 41,882 3 125,646

Solid_Tet10_S02 144,544 3 433,632

Solid_Tet10_S03 163,660 3 490,980

Solid_Tet10_S04 450,092 3 1,350,276

Solid_Tet10_S05 731,632 3 2,194,896

The result is shown bellow. The computer used is Dual Core Opteron 1.8GHz (the maximum number of the cores is four). The maximum tolerance is set to be 10^-6.

Model Calculation Time [sec] Ratio

Serial Parallel
2 cores Parallel
4 cores Serial
2 cores Serial
4 cores

Solid_Tet10_S01 224 128 85 1.75 2.64

Solid_Tet10_S02 611 344 224 1.78 2.73

Solid_Tet10_S03 603 341 218 1.77 2.77

Solid_Tet10_S04 377 220 149 1.71 2.53

Solid_Tet10_S05 1157 654 411 1.77 2.82

Contact Us

postmaster@alde.co.jp

if you have any questions.

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