主講人：程瑤 蘇州科技大學(xué)副教授

時(shí)間：2025年4月11日14：00

地點(diǎn)：三號(hào)樓332報(bào)告廳

舉辦單位：數(shù)理學(xué)院

主講人介紹：程瑤，蘇州科技大學(xué)信息與計(jì)算科學(xué)系，副教授，碩導(dǎo)。主要從事奇異攝動(dòng)問(wèn)題數(shù)值解以及局部間斷Galerkin有限元方法的理論和應(yīng)用研究。主持完成國(guó)家自然科學(xué)基金青年基金、江蘇省自然科學(xué)基金、江蘇省高校自然科學(xué)基金以及校級(jí)項(xiàng)目多項(xiàng)。入選江蘇高?！扒嗨{(lán)工程”優(yōu)秀青年骨干教師培養(yǎng)對(duì)象。在《Math. Comp.》、《Numer. Math.》和《J. Sci. Comput.》等國(guó)內(nèi)外期刊上發(fā)表學(xué)術(shù)論文三十余篇。

內(nèi)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.