Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems
Yükleniyor...
Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, superconvergence approximations of the modified weak Galerkin finite element method for the singularly perturbed two-point elliptic boundary-value problem have been studied. On the piecewise uniform Shishkin mesh, we have established the superconvergence error bounds of O(N-1 ln N)(k+1) in the discrete energy norm, where k is the degree of polynomials used in the finite element space and N is the number of elements. Stability analyses have been carried out for both singularly perturbed reaction-diffusion and convection-dominated problems. Some numerical examples are presented to support the theoretical findings. Moreover, the numerical experiments show that the proposed method has the superconvergence error bounds of O(N-1 ln N)(2k) in the discrete L-infinity-norm.
Açıklama
Anahtar Kelimeler
Kaynak
Calcolo
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
59
Sayı
1
Künye
Toprakseven, S. (2022). Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems. Calcolo, 59(1), 1-35.
