講座主題：Some recent development in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations
主講人：曹外香
工作單位：北京師范大學(xué)
講座時(shí)間：2019年10月14日（周一）15:00
講座地點(diǎn)：數(shù)學(xué)院大會(huì)議室341
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
In this talk, we briefly review some recent development in superconvergence of three types of DG methods for time-dependent partial differential equations, including the standard discontinuous Galerkin (DG) method, the local discontinuous Galerkin (LDG) method and the direct discontinuous Galerkin (DDG) method. A survey of our own works on superconvergence results for various time-dependent partial differential equations is presented, and superconvergence phenomena of aforementioned three types of DG solutions at some special points (including the function value and derivative value approximation), as well as the cell average error and supercloseness results, are all discussed.
主講人介紹：
曹外香，副教授，2014年于中山大學(xué)數(shù)計(jì)學(xué)院獲得博士學(xué)位，2014年至2016在北京計(jì)算科學(xué)研究中心從事博士后研究，期間獲得中國(guó)博士后基金一等資助和特別資助。 2016-2017年中山大學(xué)特聘研究員。研究方向?yàn)槠⒎址匠虜?shù)值解法和數(shù)值分析，主要研究有限元方法、有限體積方法，DG方法等的高效高精度數(shù)值計(jì)算。主持國(guó)家自然科學(xué)青年基金,面上項(xiàng)目各一項(xiàng)。
