A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes

Basit Öğe Kaydı
dc.contributor.authorToprakseven, Şuayip
dc.contributor.authorKaushik, Aditya
dc.contributor.authorSharma, Manju
dc.date.accessioned2024-12-05T12:37:58Z
dc.date.available2024-12-05T12:37:58Z
dc.date.issued2024
dc.departmentAÇÜ, Artvin Meslek Yüksekokulu, Muhasebe ve Vergi Uygulamaları Bölümüen_US
dc.description.abstractA weak Galerkin finite element method is proposed and analyzed for solving two-parameter singularly perturbed differential equations on Bakhvalov-type meshes. A robust optimal order convergence has been presented in the related energy and the balanced norms based on carefully defined penalization terms using piecewise higher order discontinuous functions in the interior of the mesh and single-valued zero order polynomial on the skeleton of the mesh. A special interpolation operator which deals with the difficulty arising from the standard interpolation error estimates on the Bakhvalov-type meshes is constructed. Finally, we give some numerical experiments to support theoretical results.
dc.identifier.doi10.1007/s11075-023-01721-8
dc.identifier.endpage751en_US
dc.identifier.issn1017-1398
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage727en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s11075-023-01721-8
dc.identifier.urihttps://hdl.handle.net/11494/5118
dc.identifier.volume97en_US
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofNumerical Algorithms
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subject34K26en_US
dc.subject65N30en_US
dc.subject65N50en_US
dc.subjectBakhvalov-Type Meshen_US
dc.subjectBalanced Normen_US
dc.subjectOptimal Order Convergenceen_US
dc.subjectTwo-Parameter Singularly Perturbed Differential Equationen_US
dc.subjectWeak Galerkin Finite Element Methoden_US
dc.titleA weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshesen_US
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
suayip.toprakseven-aditya.kaushik-manju.sharma.pdf
Boyut:
382.43 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin / Full Text
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
license.txt
Boyut:
1.44 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu
Artvin MYO Koleksiyonu Yayın Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu