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New immersed finite volume element method for elliptic interface problems
发布时间:2021-01-15-05 访问次数:
报告地点:行健楼665
邀请人:张志跃教授
 
The numerical solution of elliptic interface problem has great significance in many applications. Due to the discontinuity of the coefficients and the solutions, it is a very challenging job to design efficient numerical methods to solve such problems. We discuss a new immersed finite volume element method to solve the elliptic interface problems on Cartesian mesh. The method uses the non-traditional immersed finite volume element method together with additional immersed finite element function on interface element. It can deal with the case when the solution or its normal derivative is discontinuous. Extensive numerical experiments for various problems show that the new method is approximate second-order convergence in the L^{\infty} norm.
 
报告人简介:王全祥,副教授,2013年6月于博彩论坛 获得理学博士学位,2013年6月进入南京农业大学从事教学科研工作。主要研究兴趣为界面问题的浸入有限体积元方法以及PDE约束最优控制问题的数值算法,已在Journal of Computational Physics, Applied Numerical Mathematics 等期刊发表论文二十余篇,主持国家自然科学基金青年基金及数学天元青年基金各一项。

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