Solving systems of elastic bar structures by preconditioned conjugate gradient method

DOI10.1016/S0898-1221(99)00268-0zbMath0976.74556MaRDI QIDQ1972470

I. Arany

Publication date: 9 January 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

conjugate gradient methodstructural analysissystems of linear equations3D beam elementsIC(0) preconditionerincomplete factorization preconditioningspiral ordering

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Iterative numerical methods for linear systems (65F10)

Related Items (2)

Numerical experiences of solving elasticity systems by PCG methods. ⋮ Special issue: Numerical methods and computational mechanics. Selected papers from the Eighth international conference (NMCM98), Miskolc, Hungary, August 24--27, 1998

Uses Software

• symrcm
• ILUT
• DRIC

Cites Work

• On the eigenvalue distribution of a class of preconditioning methods
• Conditioning analysis of positive definite matrices by approximate factorizations
• Vectorizable preconditioners for elliptic difference equations in three space dimensions
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Iterative methods for the solution of the Navier equations of elasticity
• The effect of ordering on preconditioned conjugate gradients
• A multilevel block incomplete factorization preconditioning
• Ordering Effects on Relaxation Methods Applied to the Discrete One-Dimensional Convection-Diffusion Equation
• Comparative Analysis of the Cuthill–McKee and the Reverse Cuthill–McKee Ordering Algorithms for Sparse Matrices
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A class of first order factorization methods
• Truncated envelope peconditioning technique
• Iterative Solution Methods
• Preconditioned conjugate gradient methods for three‐dimensional linear elasticity
• HIGH-PERFORMANCE PCG SOLVERS FOR FEM STRUCTURAL ANALYSIS
• The effect of ordering on preconditioned GMRES algorithm, for solving the compressible Navier‐Stokes equations
• ILUT: A dual threshold incomplete LU factorization
• DRIC: A dynamic version of the RIC method
• A generalized SSOR method
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