Allied Engineering Corporation

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

AP-AMG is used in Moldflow MPI.

AP-AMG has the following characteristics:

  • Applicable to fluid dynamics, structural analysis, electromagnetic analysis or other problems in various fields. The DOFs per node can be taken arbitrarily. Especialy, shows high performance for problems of multiple DOFs per node, like structural problems.
  • Shows high perfomance for large scale problems. More than ten times faster than ordinary single-grid preconditioned CG solver for most problems.
  • Memory saving architecture. Allows input only for the upper triangular part including the diagonal part for symetric problems. Problems with two million DOFs can be solved on 32-bit computer.
  • Robustness. AP-AMG converges for problems with a large condition number. It shows good convergence for the problems that cannot be solved by the single-grid preconditioned Krylov subspace methods.
  • Uniform convergence. Number of necessary iterations is approximately independent of the mesh resolution or the size of the problem.
  • Corresponds to various elements of FEM. AP-AMG converges for the problems with solid, shell or beam elements, or mixture of those elements.
  • Applicable to unsymmetric problems.
  • Parallelized based on multi-threading.
  • The platform of AP-AMG is Windows and UNIX/Linux.
Contact Us
Contact us at:
postmaster@alde.co.jp

if you have any questions.

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