A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes
Yükleniyor...
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
A 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.
Açıklama
Anahtar Kelimeler
34K26, 65N30, 65N50, Bakhvalov-Type Mesh, Balanced Norm, Optimal Order Convergence, Two-Parameter Singularly Perturbed Differential Equation, Weak Galerkin Finite Element Method
Kaynak
Numerical Algorithms
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
97
Sayı
2
