Conjugate gradient-like solution algorithms for the mixed finite element approximation of the biharmonic equation, applied to plate bending problems

DOI10.1016/0045-7825(94)00737-8zbMath0851.73072OpenAlexW2120833419MaRDI QIDQ1913230

Martin B. van Gijzen

Publication date: 22 May 1996

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

Full work available at URL: https://doi.org/10.1016/0045-7825(94)00737-8

zbMATH Keywords

preconditionerblock structureincomplete Choleski decompositionindefinite linear system of equations

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Parallel computation of polynomials with minimal uniform norm and its application to large eigenproblems, Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995), Comparison between element, edge and compressed storage schemes for iterative solutions in finite element analyses

Uses Software

• LSQR
• CRAIG

Cites Work

• PERIOD PRESERVING SCHEMES FOR THE NUMERICAL INTEGRATION OF THE EQUATION OF MOTION
• A Preconditioned Iterative Method for the Solution of the Biharmonic Problem
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Solution of Sparse Indefinite Systems of Linear Equations
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Methods of conjugate gradients for solving linear systems
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