KRYLOV SUBSPACE SOLVERS IN PARALLEL NUMERICAL COMPUTATIONS OF PARTIAL DIFFERENTIAL EQUATIONS MODELING HEAT TRANSFER APPLICATIONS

In this study, parallel numerical algorithms for Krylov methods such as GMRES(k), Bi-CGM, Bi-CGSTAB, etc., for handling large-scale linear systems resulting from finite-difference analysis (FDA) and finite-element analysis (FEA) of coupled nonlinear partial differential equations (PDEs) describing p...

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Published in:Numerical heat transfer. Part A, Applications Vol. 45; no. 5; pp. 479 - 503
Main Authors: Rathish Kumar, B. V., Kumar, Bipin, Shalini, Mehra, Mani, Chandra, Peeyush, Raghvendra, V., Singh, R. K., Mahindra, A. K.
Format: Journal Article
Language:English
Published: London Taylor & Francis Group 19.03.2004
Taylor & Francis
Subjects:
Analytical and numerical techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat transfer
Physics
Finite element method
Partial differential equations
Digital simulation
Krylov subspace method
Natural convection
Modelling
Reaction diffusion equation
Parallel algorithms
Numerical convergence
Heat transfer
Finite difference method
ISSN:1040-7782, 1521-0634
Online Access:Get full text
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Summary:In this study, parallel numerical algorithms for Krylov methods such as GMRES(k), Bi-CGM, Bi-CGSTAB, etc., for handling large-scale linear systems resulting from finite-difference analysis (FDA) and finite-element analysis (FEA) of coupled nonlinear partial differential equations (PDEs) describing problems in heat transfer applications are discussed. Parallel code has been successfully implemented on an eight-noded cluster under ANULIB message-passing library environment. Bi-CGM and ILU-GMRES(k) are found to give good performance for linear systems resulting from FEA, whereas Bi-CGSTAB is seen to give good performance with linear systems resulting from FDA.
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ISSN:1040-7782
1521-0634
DOI:10.1080/10407780490269094