A numerical method for singularly perturbed convection–diffusion–reaction equations on polygonal meshes
Yükleniyor...
Tarih
2024
Yazarlar
Dergi Başlığı
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Yayıncı
Springer Nature
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
In this paper, we design and develop a weak Galerkin finite-element numerical method for solving singularly perturbed convection–diffusion–reaction equations with a non-conservation convection term. Many advantages of the proposed method include support for the higher order of convergence and general polygonal meshes. The convergence study for the weak Galerkin algorithm is performed in both the triple-bar norm and the L² norm. We achieve an optimal order of convergence of O(hk) in the triple-bar norm and O(hk+¹) in the L² norm. Several numerical experiments in a two-dimensional setting are carried out to demonstrate the convergence of our theories.
Açıklama
Anahtar Kelimeler
Convection–Diffusion–Reaction Equation, Optimal Order, Polygonal Meshes, Singular Perturbation, Weak Galerkin Method
Kaynak
Computational and Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
43
Sayı
1
