Conjugate gradient solution of finite element equations on the IBM 3090 vector computer utilizing polynomial preconditionings

DOI10.1016/0045-7825(90)90113-ZzbMath0729.73240MaRDI QIDQ807212

Lea M. Troina, José L. D. Alves, Alvaro L. G. A. Coutinho, Nelson F. F. Ebecken

Publication date: 1990

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

preconditionerscolouring algorithmconjugate gradient iterationsvector processingmatrix-vector operationsill-conditioned systemsbasic linear algebra subprogramselement-by-element solution schemeESSL vector libraryIBM 3090/VF vector computerSaad's least square polynomialsscaled system of equations

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical algorithms for specific classes of architectures (65Y10) Software, source code, etc. for problems pertaining to computer science (68-04) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (2)

An incremental elastic-plastic finite element solver in a workstation cluster environment. II: Performance of a first implementation ⋮ Petrov-Galerkin solutions of the incompressible Navier-Stokes equations in primitive variables with adaptive remeshing

Uses Software

• LINPACK
• ESSL

Cites Work

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• Polynomial Preconditioners for Conjugate Gradient Calculations
• Element Preconditioning Using Splitting Techniques
• Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method
• A parallel element-by-element solution scheme
• Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods
• Numerical comparison of preconditionings for large sparse finite element problems

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