On element-by-element preconditioning for general elliptic problems

DOI10.1016/0045-7825(91)90240-7zbMath0761.65084OpenAlexW2065348816MaRDI QIDQ1190866

Han-Chow Lee, Andrew J. Wathen

Publication date: 27 September 1992

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(91)90240-7

zbMATH Keywords

finite elementpreconditioned conjugate gradient methodconstant coefficientPoisson problemsdiscontinuous variable coefficientselement-by-element preconditioning

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• An analysis of some element-by-element techniques
• Large-scale vectorized implicit calculations in solid mechanics on a Cray X-MP/48 utilizing EBE preconitioned conjugate gradients
• On the multi-level splitting of finite element spaces
• An element-by-element solution algorithm for problems of structural and solid mechanics
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Parallelizing preconditioned conjugate gradient algorithms
• A consistent mass EBE algorithm for linear parabolic systems
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