dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Starikovičius, Vadimas | |
dc.contributor.author | Margenov, Svetozar | |
dc.contributor.author | Kriauzienė, Rima | |
dc.date.accessioned | 2023-09-18T17:03:11Z | |
dc.date.available | 2023-09-18T17:03:11Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1532-0626 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/119331 | |
dc.description.abstract | Mathematical models with fractional-order differential operators are computationally expensive due to the non-local nature of these operators. In this work, we construct and investigate parallel solvers for problems described by fractional powers of elliptic operators, like fractional diffusion. Three state-of-the-art approaches are used to transform the non-local fractional-order differential problem into local partial differential equation problems formulated in a space of higher dimension. Numerical schemes and parallel algorithms are developed for all three approaches. The resulting parallel algorithms have very different properties. We investigate the weak and strong scalability of the developed parallel algorithms and compare their parallel performance. | eng |
dc.format | PDF | |
dc.format.extent | p. 1-12 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.source.uri | http://dx.doi.org/10.1002/cpe.4216 | |
dc.subject | FM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes | |
dc.title | Parallel solvers for fractional power diffusion problems | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.accessRights | Special Issue: Combined Special issues on the Algorithms and applications towards the convergence of high-end data-intensive and computing systems (HEDICS2016), the Selected papers from the 15th international symposium on parallel and distributed computing (ISPDC16) and the Selected technologies and applications in smart city computing (STASC2017) | |
dcterms.references | 33 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.institution | Institute of Information and Communication Technologies, Bulgarian Academy of Sciences | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas Vilniaus universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.contributor.department | Taikomosios informatikos institutas / Institute of Applied Computer Science | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.researchfield | N 009 - Informatika / Computer science | |
dc.subject.researchfield | T 007 - Informatikos inžinerija / Informatics engineering | |
dc.subject.ltspecializations | L104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies | |
dc.subject.en | Fractional diffusion | |
dc.subject.en | Fractional Laplacian | |
dc.subject.en | Multigrid | |
dc.subject.en | Parallel efficiency and scalability | |
dc.subject.en | Parallel numerical algorithms. | |
dcterms.sourcetitle | Concurrency and computation: practice and experience | |
dc.description.issue | iss. 24 | |
dc.description.volume | Vol. 29 | |
dc.publisher.name | John Wiley & Sons | |
dc.publisher.city | Chichester | |
dc.identifier.doi | 10.1002/cpe.4216 | |
dc.identifier.elaba | 24875383 | |