N2 - The finite element method (FEM) is one of the most frequently used numerical methods for finding the approximate discrete point solution of partial differential equations (PDE). In this method, linear or nonlinear systems of equations, comprised after numerical discretization, are solved to obtain the numerical solution of PDE. The conjugate gradient algorithms are efficient iterative solvers for the large sparse linear systems. In this paper the performance of different conjugate gradient algorithms: conjugate gradient algorithm (CG), biconjugate gradient algorithm (BICG), biconjugate gradient stabilized algorithm (BICGSTAB), conjugate gradient squared algorithm (CGS) and biconjugate gradient stabilized algorithm with l GMRES restarts (BICGSTAB(l)) is compared when solving the steady-state axisymmetric heat conduction problem. Different values of l parameter are studied. The engineering problem for which this comparison is made is the two-dimensional, axisymmetric heat conduction in a finned circular tube.
L1 - http://journals.pan.pl/Content/94418/PDF/02_paper.pdf
L2 - http://journals.pan.pl/Content/94418
PY - 2013
IS - No 3 September
EP - 15-44
KW - Conjugate gradient method
KW - Finite Element Method
KW - Finned circular tube
A1 - Ocłoń, Paweł
A1 - Łopata, Stanisław
A1 - Nowak, Marzena
PB - The Committee of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences
SP - 15-44
T1 - Comparative study of conjugate gradient algorithms performance on the example of steady-state axisymmetric heat transfer problem
DA - 2013
UR - http://journals.pan.pl/dlibra/publication/edition/94418
T2 - Archives of Thermodynamics
DOI - 10.2478/aoter-2013-0013