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A class of preconditioned conjugate gradient methods for the solution of a mixed finite element discretization of the biharmonic operator (1979)

Axelsson, Owe ; Munksgaard, Niels

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 14 (1979), S. 1001-1019

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: The homogeneous Dirichlet problem for the biharmonic operator is solved as the variational formulation of two coupled second-order equations. The discretization by a mixed finite element model results in a set of linear equations whose coefficient matrix is sparse, symmetric but indefinite. We describe a class of preconditioned conjugate gradient methods for the numerical solution of this linear system. The precondition matrices correspond to incomplete factorizations of the coefficient matrix. The numerical results show a low computational complexity in both number of computer operations and demand of storage.

Additional Material: 8 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620140705

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