Error analysis of an extended discontinuous galerkin method for highly-oscillatory problems
Yükleniyor...
Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Yıldız Teknik Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this report we introduce an extended discontinuous Galerkin (XDG) method. Our XDG scheme is based on the Babuska-Zlamal approach and we apply it to a class of prototype elliptic boundary value problems that have solutions consisting of smooth functions perturbed by a set of high frequency modes which occupy a narrow band. The XDG scheme we study is enriched by trigonometric functions that cover the range of these perturbations. A theoretical error analysis is provided that shows the method converges and gives specifics on its accuracy. Computations with the XDG scheme further demonstrate the efficacy of this approach.
Açıklama
Anahtar Kelimeler
Discontinuous Galerkin, Extended discontinuous Galerkin, High frequencies, Elliptic boundary value problem
Kaynak
Sigma Journal of Engineering and Natural Sciences-Sigma Mühendislik ve Fen Bilimleri Dergisi
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
39
Sayı
5
Künye
French D., Vaughan, B., & Toprakseven, Ş. (2021). Error analysis of an extended discontinuous galerkin method for highly-oscillatory problems, Yıldız Teknik Üniversitesi, 39 (5), 64-73.
