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On the Comparison of DG and HDG Methods for the Helmholtz Equation

发布时间:2019-03-26     来源:    点击数:
主题: On the Comparison of DG and HDG Methods for the Helmholtz Equation
类型: 学术报告
主办方: 齐鲁证券金融研究院
报告人: Jintao Cui 博士
日期: 2013年6月8日 下午14:30
地点: 知新楼B-1248
内容: 报告题目:On the Comparison of DG and HDG Methods for the Helmholtz Equation 报 告 人:Dr. Jintao Cui Department of Mathematics & Statistics University of Arkansas at Little Rock,USA 报告时间:2013年6月8日 下午14:30 报告地点:知新楼B-1248 摘要: In this talk we discuss the hybridizable discontinuous Galerkin (HDG) methods for the Helmholtz equation with _rst order absorbing boundary condition in two and three dimensions. We prove that the proposed HDG methods are stable (hence well-posed) without any mesh constraint. The stability constant is independent of the polynomial degree. By using a projection-based error analysis, we also derive the error estimates in L2 norm for piecewise polynomial spaces with arbitrary degree. This is joint work with Wujun Zhang from University of Maryland.

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