主講人：程瑤 蘇州科技大學副教授

時間：2025年4月11日14：00

地點：三號樓332報告廳

舉辦單位：數理學院

主講人介紹：程瑤，蘇州科技大學信息與計算科學系，副教授，碩導。主要從事奇異攝動問題數值解以及局部間斷Galerkin有限元方法的理論和應用研究。主持完成國家自然科學基金青年基金、江蘇省自然科學基金、江蘇省高校自然科學基金以及校級項目多項。入選江蘇高校“青藍工程”優秀青年骨干教師培養對象。在《Math. Comp.》、《Numer. Math.》和《J. Sci. Comput.》等國內外期刊上發表學術論文三十余篇。

內容介紹：The Local Discontinuous Galerkin (LDG) method is an efficient numerical algorithm for solving singularly perturbed problems whose solutions exhibit boundary layers. In this talk, we present recent convergence results of the LDG method for singularly perturbed convection-reaction-diffusion problems on some typical layer-adapted meshes. We demonstrate optimal-order convergence in the L2-norm, balanced norm, and maximum norm. This is achieved by utilizing several techniques, including energy-norm supercloseness, composite projectors, layer-upwind numerical fluxes, and discrete Green’s functions. Numerical experiments validate our theoretical findings.