PCG methods in transient FE analysis. Part I: First order problems

Abstract

AbstractThe 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.