Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms
Applied Mathematics and Computation, cilt.441, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 441
- Basım Tarihi: 2023
- Doi Numarası: 10.1016/j.amc.2022.127683
- Dergi Adı: Applied Mathematics and Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: Balanced norm, Shishkin mesh, Singularly perturbed boundary value problems, Two-parameter differential equations, Uniform convergence, Weak galerkin finite element method
- Yozgat Bozok Üniversitesi Adresli: Evet
Özet
A weak Galerkin finite element method is proposed for solving singularly perturbed problems with two parameters. A robust uniform optimal convergence has been proved in the corresponding energy and a stronger balanced norms using piecewise higher order discontinuous polynomials on a piecewise uniform Shishkin mesh. Finally, we give some numerical experiments to support theoretical results.