Toprakseven, ŞuayipZhu, Peng2022-12-262022-12-262023Toprakseven, Ş., & Zhu, P. (2023). 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, 441, 127683.https://doi.org/10.1016/j.amc.2022.127683https://hdl.handle.net/11494/4322A 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.eninfo:eu-repo/semantics/closedAccessBalanced normShishkin meshSingularly perturbed boundary value problemsTwo-parameter differential equationsUniform convergenceWeak galerkin finite element methodArticle44110.1016/j.amc.2022.127683Q1Q1