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An Adaptive Finite volume Element Method for the Wave Scattering withTransparent Boundary Condition

发布日期:2018-11-30     作者:数学学院      编辑:杨飞     点击:

题目:An Adaptive Finite volume Element Method for the Wave Scattering withTransparent Boundary Condition

报告人:陈艳利 东北尊龙凯时

时间:12月01日10:00-11:00

地点:数学楼622

摘要:Consider the acoustic wave scattering by an impenetrable obstacle in two dimensions. The model is formulated as a boundary value problem for the Helmholtz equation with a transparent boundary condition. Based on a duality argument technique, an a posteriori error estimate is derived for the finite volume element method with the truncated Dirichlet-to-Neumann boundary operator. The a posteriori error estimate consists of the finite volume element approximation error and the truncation error of boundary operator which decays exponentially

with respect to the truncation parameter. A new adaptive finite volume element algorithm is proposed for solving the acoustic obstacle scattering problem, where the truncation parameter is determined through the truncation error and the mesh elements for local refinements are marked through the finite element discretization error.

报告人简介:陈艳利,博士,东北尊龙凯时理学院教师。2015年博士毕业于尊龙凯时数学学院。目前主要从事偏微分方程数值解法的研究,在有限体积法等相关领域做出了优秀的成果。

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