Robust a-posteriori error estimates for weak Galerkin method for the\n convection-diffusion problem

2021/06/01 by N. Sharma, Sharma, Natasha · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2106.00485

openalex publication_date 2021/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a robust a posteriori error estimator for the weak Galerkin finite\nelement method applied to stationary convection-diffusion equations in the\nconvection-dominated regime. The estimator provides global upper and lower\nbounds of the error %measured in a suitable norm and is robust in the sense\nthat upper and lower bounds are uniformly bounded with respect to the diffusion\ncoefficient. Results of the numerical experiments are presented to illustrate\nthe performance of the error estimator.\n

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• A posteriori error estimates for the finite element approximation of the convection-diffusion-reaction equation based on the variational multiscale concept

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