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PCG methods in transient FE analysis. Part I: First order problems
Author(s) -
Smith I. M.,
Wong S. W.,
Gladwell I.,
Gilvary B.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620280707
Subject(s) - conjugate gradient method , discretization , finite element method , diagonal , computation , partial differential equation , transient (computer programming) , mathematics , thermal conduction , order (exchange) , parabolic partial differential equation , mathematical analysis , computer science , mathematical optimization , algorithm , geometry , physics , thermodynamics , finance , economics , operating system
The performances of some PCG (preconditioned conjugate gradient) algorithms are evaluated in the solution of first order time dependent parabolic partial differential equations, such as the heat conduction equation, which have been spatially discretized using finite elements. ‘Consistent mass’ discretizations are preferred by the authors to ‘lumped mass’ ones and various preconditioners are then compared—diagonal, incomplete Choleski and EBE (‘element‐by‐element’). Recommendations are made and implications for parallel computation outlined.