A comparison of selected SLAE solvers for Epilot

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F20%3APU137714" target="_blank" >RIV/00216305:26110/20:PU137714 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A comparison of selected SLAE solvers for Epilot
Original language description
The paper is focused on the search for a suitable solver of systems of linear algebraic equations obtained from the numerical solution of the thermal behavior of the energy pile, performed by the finite volume method. In these cases, sparse, diagonally dominant matrices in the order of hundreds to thousands of elements are typically generated. The paper aims to compare selected algorithms from the open-source Eigen library (QR decomposition of a sparse matrix, LU factorization for a sparse matrix, Conjugate Gradient method, BiConjugate Gradient stabilized method) with a focus on the required computational time and the number of iterations. The numerical solution is presented on several data sets representing stationary (steady) and non-stationary (transient) thermal states of the energy pilot. For the given purposes, the Conjugate Gradient method seems to be the most advantageous in terms of the required computational time.
Czech name
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Czech description
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Project
<a href="/en/project/TN01000056" target="_blank" >TN01000056: Centre for Advanced Materials and Efficient Buildings</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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