A comparison of parallel algorithms for numerical solution of parabolic problems with fractional power elliptic operators

Čiegis, Raimondas; Dapšys, Ignas; Čiegis, Remigijus

doi:10.3390/axioms11030098

Use this URL to cite this publication: https://hdl.handle.net/20.500.14911/112841

A comparison of parallel algorithms for numerical solution of parabolic problems with fractional power elliptic operators

Details

Publication Type (CRIS)

Straipsnis Web of Science ir Scopus duomenų bazėje / Article in Web of Science and Scopus database (S1)

Publication Type (eLABa)

Straipsnis Web of Science DB / Web of Science DB article (S1)

Author(s)

Author	Affiliation
Čiegis, Raimondas	Matematinio modeliavimo katedra / Department of Mathematical Modelling (1023)
Dapšys, Ignas	Matematinio modeliavimo katedra / Department of Mathematical Modelling (1023)
Čiegis, Remigijus	Vilniaus universitetas

Title

A comparison of parallel algorithms for numerical solution of parabolic problems with fractional power elliptic operators

[en]

Raimondas Čiegis, Ignas Dapšys, Remigijus Čiegis

Is part of

Axioms

Published In

Year	Volume	Issue	Start Page	End Page
2022	11	3(98)	1	16

Publisher

Basel : MDPI

Publisher (trusted)

MDPI

Referenced in Database(s)(DBs)

Science Citation Index Expanded (Web of Science)

SCOPUS

Current Contents

Extent

p. 1-16

URI

URI	Access Rights
https://hdl.handle.net/20.500.14911/112841
https://www.mdpi.com/2075-1680/11/3/98/htm	Viso teksto dokumentas (atviroji prieiga) / Full Text Document (Open Access)
https://talpykla.elaba.lt/elaba-fedora/objects/elaba:121660854/datastreams/MAIN/content

DOI

10.3390/axioms11030098

Cited references

Science / Art Area

Gamtos mokslai / Natural Sciences (N)

Field of Science / Art

Matematika / Mathematics (N001)

Keywords (en)

Abstract (en)

In this article we construct parallel solvers analyze the efficiency and accuracy of general parallel solvers for three dimensional parabolic problems with the fractional power of elliptic operators. The proposed discrete method are targeted for general non-constant elliptic operators, the second motivation for the usage of such schemes arises when non-uniform space meshes are essential. Parallel solvers are required to solve the obtained large size systems of linear equations. The detailed scalability analysis is done in order to compare the efficiency of prposed parallel algorithms. Results of computational experiments are presented and analyzed.