An iterative substructuring algorithm for equilibrium equations

DOI10.1007/BF01386432zbMath0708.65037MaRDI QIDQ920575

Douglas James, Robert J. Plemmons

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133470

zbMATH Keywords

least squares problemiterative substructuring algorithmdirect reductionequilibrium matrixnullspace methodorder reducing, preconditioned conjugate gradient methodp-cyclic successive overrelaxation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (4)

A null-space approach for large-scale symmetric saddle point systems with a small and non zero \((2, 2)\) block ⋮ Conference celebrating the 60th birthday of Robert J. Plemmons. Papers from the conference, Winston-Salem, NC, USA, January 1999 ⋮ Dedication to Robert J. Plemmons ⋮ Order-reducing conjugate gradients versus block AOR for constrained least-squares problems

Cites Work

• \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
• Optimal successive overrelaxation iterative methods for \(p\)-cyclic matrices
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• Convergence of a direct-iterative method for large-scale least-squares problems
• Algorithms and experiments for structural mechanics on high-performance architectures
• Optimality relationships for p-cyclic SOR
• A class of iterative methods for solving saddle point problems
• Minimum norm solutions to linear elastic analysis problems
• Substructuring Methods for Computing the Nullspace of Equilibrium Matrices
• Numerical Solution of Navier–Stokes Problems by the Dual Variable Method
• A Parallel Block Iterative Scheme Applied to Computations in Structural Analysis
• Iterative Methods for Equality-Constrained Least Squares Problems
• Error Analysis and Implementation Aspects of Deferred Correction for Equality Constrained Least Squares Problems
• A Framework for Equilibrium Equations
• On the Numerical Solution of Constrained Least-Squares Problems
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type
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