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Improved Symmetric Gauss-Seidel Method for Solving Sparse Linear Systems Appear in CFD


Virag, Zdravko; Džijan, Ivo; Krizmanić, Severino
Improved Symmetric Gauss-Seidel Method for Solving Sparse Linear Systems Appear in CFD // Proceedings of the 5th International Congress of Croatian Society of Mechanics / Matejiček, Franjo (ur.).
Zagreb: Hrvatsko društvo za mehaniku (HDM), 2006. str. 57-63 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)


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Naslov
Improved Symmetric Gauss-Seidel Method for Solving Sparse Linear Systems Appear in CFD

Autori
Virag, Zdravko ; Džijan, Ivo ; Krizmanić, Severino

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 5th International Congress of Croatian Society of Mechanics / Matejiček, Franjo - Zagreb : Hrvatsko društvo za mehaniku (HDM), 2006, 57-63

Skup
5th International Congress of Croatian Society of Mechanics

Mjesto i datum
Trogir, Hrvatska, 21.09.2006. - 23.09.2006

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Sparse linear systems; Iterative method; Symmetric Gauss-Seidel method

Sažetak
Two new variants of iterative solvers for sparse linear systems of algebraic equations that appear in Computational Fluid Dynamics (CFD) are proposed. The proposed methods are compared with selected Krylov space methods in terms of CPU time required to achieve prescribed accuracy for selected test problems. When the coefficient matrix is diagonally dominant there are no significant differences between efficiency of methods and all of them are quite applicable. For the most demanding problems corresponding to the pressure equation in a incompressible fluid flow solver, the new proposed methods show a great advantage over the popular GMRES(5) method and they are comparable with PTFQMR method with the simple ILU preconditioner (corresponding the Symmetric Gauss-Seidel method).

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo



POVEZANOST RADA


Projekti:
0120008

Ustanove:
Fakultet strojarstva i brodogradnje, Zagreb

Profili:

Avatar Url Ivo Džijan (autor)

Avatar Url Severino Krizmanić (autor)

Avatar Url Zdravko Virag (autor)


Citiraj ovu publikaciju:

Virag, Zdravko; Džijan, Ivo; Krizmanić, Severino
Improved Symmetric Gauss-Seidel Method for Solving Sparse Linear Systems Appear in CFD // Proceedings of the 5th International Congress of Croatian Society of Mechanics / Matejiček, Franjo (ur.).
Zagreb: Hrvatsko društvo za mehaniku (HDM), 2006. str. 57-63 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
Virag, Z., Džijan, I. & Krizmanić, S. (2006) Improved Symmetric Gauss-Seidel Method for Solving Sparse Linear Systems Appear in CFD. U: Matejiček, F. (ur.)Proceedings of the 5th International Congress of Croatian Society of Mechanics.
@article{article, author = {Virag, Zdravko and D\v{z}ijan, Ivo and Krizmani\'{c}, Severino}, editor = {Mateji\v{c}ek, F.}, year = {2006}, pages = {57-63}, keywords = {Sparse linear systems, Iterative method, Symmetric Gauss-Seidel method}, title = {Improved Symmetric Gauss-Seidel Method for Solving Sparse Linear Systems Appear in CFD}, keyword = {Sparse linear systems, Iterative method, Symmetric Gauss-Seidel method}, publisher = {Hrvatsko dru\v{s}tvo za mehaniku (HDM)}, publisherplace = {Trogir, Hrvatska} }
@article{article, author = {Virag, Zdravko and D\v{z}ijan, Ivo and Krizmani\'{c}, Severino}, editor = {Mateji\v{c}ek, F.}, year = {2006}, pages = {57-63}, keywords = {Sparse linear systems, Iterative method, Symmetric Gauss-Seidel method}, title = {Improved Symmetric Gauss-Seidel Method for Solving Sparse Linear Systems Appear in CFD}, keyword = {Sparse linear systems, Iterative method, Symmetric Gauss-Seidel method}, publisher = {Hrvatsko dru\v{s}tvo za mehaniku (HDM)}, publisherplace = {Trogir, Hrvatska} }




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