报告题目：Two-gird methods for semilinear elliptic interface problems by immersed finite element methods

报告人👏🏻：华南师范大学数学科顺盈，陈艳萍教授

报告时间👨🏼‍✈️：2018年6月29日（星期五）上午 9:40-10:40

报告地点😟：上海顺盈平台娱乐（徐汇校区）3号楼三楼报告厅（332室）

报告摘要：In this talk, three efficient two-grid algorithms are proposed and analyzed for semi-linear interface problems with discontinuous diffusion coefficients in two dimension. Because of the advantages of simple structure of Cartesian grids and the finite element formulation, we use immersed finite element discretization. To linearize the finite element method equations, two-grid algorithms based on some Newton iteration approach and residual-correction technique are applied. It is shown that the coarse space can be extremely coarse, and yet one can still achieve asymptotically optimal approximations as good as solving the original nonlinear problem on the fine mesh. As a result, solving such a large class of nonlinear equation will not be much more difficult than solving one linearized equation.

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顺盈平台

2018年6月27日