Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes
Yıl: 2021 Cilt: 50 Sayı: 5 Sayfa Aralığı: 1306 - 1324 Metin Dili: İngilizce DOI: 10.15672/hujms.691017 İndeks Tarihi: 29-07-2022
Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes
Öz: In this article, we analyze a fully discrete $varepsilon-$uniformly convergent finite element method for singularly perturbed convection-diffusion-reaction boundary-value problems, on piecewise-uniform meshes. Here, we choose $L-$splines as basis functions.We will concentrate on the convergence analysis of thefinite element methodwhich employ the discrete$L-$spline basis functions instead of their continuous counterparts.The $L-$splines are approximated on the piecewise-uniform Shishkin mesh inside each element. These approximations are used as basis functions in the frame of Galerkin FEM on a coarse piecewise-uniform meshto discretize the domain. Further, we determinethe amount of error introduced by the discrete $L-$spline basis functions in the overall numerical method, and explore the possibility of recovering the order of convergence that are consistent with the classical order of convergence for the numerical methods usingthe exact $L-$splines.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Sendur A, Srinivasan N, Singh D (2021). Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. , 1306 - 1324. 10.15672/hujms.691017 |
| Chicago | Sendur Ali,Srinivasan Natesan,Singh Dr. Gautam Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. (2021): 1306 - 1324. 10.15672/hujms.691017 |
| MLA | Sendur Ali,Srinivasan Natesan,Singh Dr. Gautam Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. , 2021, ss.1306 - 1324. 10.15672/hujms.691017 |
| AMA | Sendur A,Srinivasan N,Singh D Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. . 2021; 1306 - 1324. 10.15672/hujms.691017 |
| Vancouver | Sendur A,Srinivasan N,Singh D Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. . 2021; 1306 - 1324. 10.15672/hujms.691017 |
| IEEE | Sendur A,Srinivasan N,Singh D "Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes." , ss.1306 - 1324, 2021. 10.15672/hujms.691017 |
| ISNAD | Sendur, Ali vd. "Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes". (2021), 1306-1324. https://doi.org/10.15672/hujms.691017 |
| APA | Sendur A, Srinivasan N, Singh D (2021). Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. Hacettepe Journal of Mathematics and Statistics, 50(5), 1306 - 1324. 10.15672/hujms.691017 |
| Chicago | Sendur Ali,Srinivasan Natesan,Singh Dr. Gautam Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. Hacettepe Journal of Mathematics and Statistics 50, no.5 (2021): 1306 - 1324. 10.15672/hujms.691017 |
| MLA | Sendur Ali,Srinivasan Natesan,Singh Dr. Gautam Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. Hacettepe Journal of Mathematics and Statistics, vol.50, no.5, 2021, ss.1306 - 1324. 10.15672/hujms.691017 |
| AMA | Sendur A,Srinivasan N,Singh D Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. Hacettepe Journal of Mathematics and Statistics. 2021; 50(5): 1306 - 1324. 10.15672/hujms.691017 |
| Vancouver | Sendur A,Srinivasan N,Singh D Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes. Hacettepe Journal of Mathematics and Statistics. 2021; 50(5): 1306 - 1324. 10.15672/hujms.691017 |
| IEEE | Sendur A,Srinivasan N,Singh D "Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes." Hacettepe Journal of Mathematics and Statistics, 50, ss.1306 - 1324, 2021. 10.15672/hujms.691017 |
| ISNAD | Sendur, Ali vd. "Error estimates for a fully discrete $varepsilon-$uniform finite element methodon quasi uniform meshes". Hacettepe Journal of Mathematics and Statistics 50/5 (2021), 1306-1324. https://doi.org/10.15672/hujms.691017 |
