报告题目：Two fast numerical methods for a generalized Oldroyd-B fluid model

报告人：卜玮平，湘潭大学数学与计算科学学院副教授。于中国科学院数学与系统科学研究院获博士学位，从事非局部微分方程的数值求解研究。曾于攻读博士学位期间获中国科学院数学与系统科学研究院院长特等奖和中国科学院院长优秀奖。先后获中国仿真学会优秀论文奖、湖南省计算数学应用软件学会第三届一等青年优秀论文奖、湖南省自然科学二等奖和湖南省自然科学三等奖。主持完成国家自然科学基金项目1项。在Journal of Computational Physics等国际顶刊发表论文三十多篇。

报告简介：In this talk, we propose two fast and efficient numerical methods for a generalized Oldroyd-B fluid model with fractional derivatives. The fast evaluations of the Riemann-Liouville fractional derivatives are developed based on convolution quadrature generated by the backward Euler and the second-order backward difference methods. By using these fast algorithms in time and employing the finite element method in space, two fully discrete schemes are established for the considered problem. Further, we discuss the error estimates of these numerical schemes based on the property of the initial value and the right hand function instead of the regularity assumption of the exact solution. Finally, some numerical tests are presented to verify the effectiveness of the numerical schemes and confirm the theoretical results.

报告时间：2024年11月25日（星期一），下午 14:30开始

报告地点：瘦西湖校区56号楼204室

联系人：黄健飞

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