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Super Matrix Solver the high-speed and robust matrix solver
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Realizes faster calculation speed with the software (algorithms) while keeping the hardware expenses.
Accelerates and stabilizes numerical solution of CFD, structural, electromagnetic and scientific simulations.
Super Matrix Solver series, the high-speed matrix solvers were developed for acceleration and stabilization of calculations to solve simultaneous linear equation systems in numerical analyses such as CFD and structural analyses.
Modules that comprise the Super Matrix Solver series are based on various devices for high speed calculation. An example of such feature is an implementation of the latest technology for acceleration of iterative method that was commercialized by VINAS, which is based on the basic theory developed by the National Aerospace Laboratory of Japan (currently the Japan Aerospace Exploration Agency).
Super Matrix Solver series provide a line of solvers that are based on iterative or direct method, and those dedicated for boundary element method, from which the users may select a module that is most suitable for their applications.
Developed by VINAS Co., Ltd.
Features of Super Matrix Solver
- Different types of solution methods (e.g. iterative and direct methods) to choose from depending on the types of problems.
- Simple to use with easy-to-understand manuals.
- Easy to integrate the modules that are provided in executable format (e.g. DLL); no need for special mathematical knowledge.
- Accommodates various platforms.
- Complete with support system for product evaluation, integration and use.
Intended problems
- Simultaneous linear equation systems that are derived from discretization of differential, finite element, finite volume or boundary element methods.
- Problems that are generated from various types of analyses such as CFD, structural, electromagnetic, plastic mold flow and electronic circuit analyses.
- Other types of analyses in engineering fields.
Super Matrix Solver Series
Solution Method Product Name Characteristics
Iterative Method SMS-AMG High-speed AMG method has been accelerated and stabilized with proprietary technology.
P-ICCG Parallel version of ICCG method with many actual performance results in various analysis fields.
Direct Method MF Packaged product of MultiFrontal method, which is the fastest method in direct methods. Easy to use without complex setup.
Boundary Element Method SMS-BEM Proprietary hybrid solver based on direct and iterative methods. Dedicated for dense matrices that are generated with boundary element method (BEM).
Comparison of Each Type of Solution Method Applied to the Super Matrix Solver Series
Solution Method Iterative Method Direct Method Boundary Element Method
Product Name SMS-AMG P-ICCG MF SMS-BEM
Target Coefficient Matrix Sparse Sparse Sparse Dense
Calculation of Asymmetric Problems Yes No Yes Yes

Calculation of Problems with
Zero Diagonal elements

No Yes Yes -
Handling of Complex Numbers No Yes No Yes
Parallelization No SMP No No
Application Fields CFD and Electromagnetic Analyses CFD, Electromagnetic and Structural Analyses CFD, Electromagnetic and Structural Analyses Electromagnetic, Acoustic and CFD Analyses
Analysis Fields
Matrix Types
Handling of Different Matrix Types
Iterative Method
Direct Method
Hybrid
SMS
-AMG
P-ICCG
MF ver1
MF ver2*
SMS -BEM
CFD
Electromagetic
Sparse Matrix Symmetric Real With diagonal zero elements
-
Yes
Yes
Yes
-
No diagonal zero elements
Yes
Yes
Yes
Yes
-
Complex With/no diagonal zero elements
-
Yes
-
Yes
-
Asymmetric Real With diagonal zero elements
-
-
Yes
Yes
-
No diagonal zero elements
Yes
-
Yes
Yes
-
Complex With/no diagonal zero elements
-
-
-
Yes
-
CFD/Electromagnetic
Acoustic
BEM
Dense Matrix
Symmetric/
Asymmetric
Real/
Complex
-
-
-
-
-
Yes
Structural Solid Element
(3DOF)
Sparse Matrix Symmetric Real
-
Yes
Yes
Yes
Yes
-
Shell Element
(6DOF)
-
-
Yes
Yes
Yes
-
 
Case Studies
- >>Comparison -SMS-AMG vs. conventional solvers

- Breakage Analysis of Concrete Structure
>> Hokkaido University
- Analysis of Flow-Induced Vibration of
Nuclear Reactor Fuel Rods
>> Saitama Institute of Technology
- Plastic Mold Flow Analysis
>> Plamedia Corporation
- Electromagnetic Analysis
>> MU Tech Co., Ltd.
Platforms (OS)

Windows, Linux and UNIX

More Information
- Super Matrix Solver Brochure (PDF/6484KB )
Consulting and Services

- High-speed research on contract basis
- License distribution
- Consulting

- We provide consultations on speeding up different types of solvers.
- Please contact us for further information on speed-up and stabilization of your solvers (including proprietary solvers).