2022-10-11
举办单位:数学科学学院
负责人姓名:乔雷洁
电话:15111480134
形式:线上学术报告
活动主题:error estimates of a continuous galerkin time stepping method for subdiffusion problem
活动内容摘要:
a continuous galerkin time stepping method is introduced and analyzed for subdiffusion problem in an abstract setting. the approximate solution will be sought as a continuous piecewise linear function in time $t$ and the test space is based on the discontinuous piecewise constant functions. we prove that the proposed time stepping method has the convergence order $o(\tau^{1 \alpha}), \, \alpha \in (0, 1)$ for general sectorial elliptic operators for nonsmooth data by using the laplace transform method, where $\tau$ is the time step size. this convergence order is higher than the convergence orders of the popular convolution quadrature methods (e.g., lubich's convolution methods) and l-type methods (e.g., l1 method), which have only $o(\tau)$ convergence for the nonsmooth data. numerical examples are given to verify the robustness of the time discretization schemes with respect to data regularity.
主讲人基本情况:
闫玉斌教授2003年在瑞典查尔莫斯工业大学获得数学博士学位,2003-2004在英国曼彻斯特大学做博士后研究,2004-2007年在英国谢菲尔德大学做博士后研究,2007年至今在英国切斯特大学数学工程学院开展研究工作。
闫玉斌教授的主要研究方向包括:随机微分方程和分数阶偏微分方程的数值解,有限元方法,有限差分方法研究。在siam j. numerical analysis, bit, ima j. numerical analysis等国际著名学术期刊发表了近70篇文章。论文他引1200多次。研究成果在随机抛物型方程和分数阶方程数值分析领域有着广泛的影响。
听众范围:数学科学学院师生
举办时间:2022年10月4日
举办地点:腾讯会议
报告类型:理科类