Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms

Şuayip Toprakseven and Peng Zhu

Applied Mathematics and Computation, 2023, vol. 441, issue C

Abstract: 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.

Keywords: Singularly perturbed boundary value problems; Two-parameter differential equations; Weak galerkin finite element method; Shishkin mesh; Uniform convergence; Balanced norm (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:441:y:2023:i:c:s0096300322007512

DOI: 10.1016/j.amc.2022.127683

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