A class of preconditioned conjugate gradient methods for the solution of a mixed finite element discretization of the biharmonic operator

DOI10.1002/nme.1620140705zbMath0416.65069OpenAlexW1997648878MaRDI QIDQ3206249

Niels Munksgaard, Owe Axelsson

Publication date: 1979

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620140705

zbMATH Keywords

Dirichlet problemvariational formulationnumerical solutionconjugate gradient methodsbiharmonic operatormixed finite element model

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (9)

A C⁰ Interior Penalty Discontinuous Galerkin Method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p-biharmonic type ⋮ A general incomplete block-matrix factorization method ⋮ The use of a preconditioned bi-conjugate gradient method for hybrid plasma stability analysis ⋮ Zur numerischen Lösung des ersten biharmonischen Randwertproblems. (On the numerical solution of the first biharmonic boundary value problem) ⋮ A global preconditioner for the element-by-element solution methods ⋮ An iterative solver for a mixed variable variational formulation of the (first) biharmonic problem ⋮ The alternate-block-factorization procedure for systems of partial differential equations ⋮ On the eigenvalue distribution of a class of preconditioning methods ⋮ A survey of preconditioned iterative methods for linear systems of algebraic equations

Cites Work

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