Detail publikačního výsledku

A comparison of selected SLAE solvers for Epilot

SEHNALOVÁ, P.; ŠIKULA, O.

Originální název

A comparison of selected SLAE solvers for Epilot

Anglický název

A comparison of selected SLAE solvers for Epilot

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

computer modeling, numerical computing, iterative methods, system of algebraic equation, sparse matrix

Klíčová slova v angličtině

computer modeling, numerical computing, iterative methods, system of algebraic equation, sparse matrix

Autoři

SEHNALOVÁ, P.; ŠIKULA, O.

Rok RIV

2021

Vydáno

05.11.2020

Nakladatel

IBPSA-CZ

Místo

Brno

ISBN

978-80-907423-1

Kniha

Simulace budov a techniky prostředí 2020. Sborník 11. konference IBPSA-CZ

Strany od

111

Strany do

114

Strany počet

4

BibTex

@inproceedings{BUT165888,
  author="Pavla {Sehnalová} and Ondřej {Šikula}",
  title="A comparison of selected SLAE solvers for Epilot",
  booktitle="Simulace budov a techniky prostředí 2020. Sborník 11. konference IBPSA-CZ",
  year="2020",
  number="1",
  pages="111--114",
  publisher="IBPSA-CZ",
  address="Brno",
  isbn="978-80-907423-1"
}