dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Starikovičius, Vadimas | |
dc.contributor.author | Margenov, Svetozar | |
dc.contributor.author | Kriauzienė, Rima | |
dc.date.accessioned | 2023-09-18T17:23:49Z | |
dc.date.available | 2023-09-18T17:23:49Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1532-0626 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/122780 | |
dc.description.abstract | In this paper, we develop and investigate the parallel numerical algorithms for three different state‐of‐the‐art numerical methods for solving the non‐local problems described by fractional powers of elliptic operators. These methods transform the non‐local problem into some local differential problems of elliptic or parabolic type. A two‐level parallelization approach is applied to construct the efficient parallel algorithms using the domain decomposition and master‐slave methods, to deal with the increase in computational complexity. We show and compare the serial and parallel solution times that are required to achieve similar accuracy of the solution using different algorithms. Results of extensive convergence tests are presented solving a three‐dimensional test problem with known decrease of the solution's convergence rate depending on the fractional power coefficient. We analyze and discuss the non‐trivial question, which parallel algorithm is recommended to achieve certain accuracy for the given fractional power coefficient. | eng |
dc.format | PDF | |
dc.format.extent | p. 1-12 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Compendex | |
dc.relation.isreferencedby | Computer Science Index | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | Scopus | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.source.uri | https://doi.org/10.1002/cpe.5163 | |
dc.source.uri | https://talpykla.elaba.lt/elaba-fedora/objects/elaba:34066473/datastreams/COVER/content | |
dc.title | Scalability analysis of different parallel solvers for 3D fractional power diffusion problems | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 35 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.institution | Bulgarian Academy of Sciences | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas Vilniaus universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 009 - Informatika / Computer science | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.researchfield | T 007 - Informatikos inžinerija / Informatics engineering | |
dc.subject.vgtuprioritizedfields | FM0101 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes | |
dc.subject.ltspecializations | L104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies | |
dc.subject.en | convergence | |
dc.subject.en | fractional diffusion | |
dc.subject.en | fractional Laplacian | |
dc.subject.en | multigrid | |
dc.subject.en | parallel numerical algorithms | |
dc.subject.en | parallel scalability | |
dcterms.sourcetitle | Concurrency and computation: practice and experience: Special issue: Special issue on Algorithmic Advances in Parallel Architectures and Energy Efficient Computing (PPAM2017) and Recent Advances in Machine Learning for Cyber‐security (MLCSec2018) | |
dc.description.issue | iss. 19 | |
dc.description.volume | vol. 31 | |
dc.publisher.name | John Wiley & Sons | |
dc.publisher.city | Hoboken | |
dc.identifier.doi | 000486203400008 | |
dc.identifier.doi | 10.1002/cpe.5163 | |
dc.identifier.elaba | 34066473 | |