id author title date pages extension mime words sentence flesch summary cache txt cana-2211 Brehmit Kaur Error Estimates for Three-Dimensional Singularly Perturbed Convection-Diffusion Problem 2024 11 .pdf application/pdf 4156 258 65 Therefore, the term π‘©πœŒ,𝜎(𝑣 βˆ’ π‘£β„Ž, 𝑀 βˆ’ 𝐼𝑐𝑀) is bounded above by π‘©πœŒ,𝜎(𝑣 βˆ’ π‘£β„Ž, 𝑀 βˆ’ 𝐼𝑐𝑀) β‰Ύ [ βˆ‘ 𝛼𝑇 2 π‘‡βˆˆβ„Ύβ„Ž ||𝑅𝑇||𝑇 2 ) 1 2 + βˆ‘ πœ–βˆ’ 1 2𝛼𝐸||𝑅𝐸| πΈβŠ‚β„Ύ\πœ•β„Ύπ· |𝐸 2 ) 1 2]. Further, reliable error bounds for the proposed scheme Hughes stabilized SUPG finite element method has been proposed on anisotropic meshes Communications on Applied Nonlinear Analysis ISSN: 1074-133X Vol 32 No. 1s (2025) 478 https://internationalpubls.com Exact residuals: Let 𝑅𝑇 and 𝑅𝐸 denote the exact element residual and exact face residual over a general tetrahedron element T respectively and are defined as 𝑅𝑇 = 𝑓 βˆ’ (βˆ’πœ–βˆ†π‘’β„Ž + 𝒃. βˆ‡π‘’β„Ž + π‘π‘’β„Ž) on T, 𝑅𝐸(π‘₯) cache/cana-2211.pdf txt/cana-2211.txt