研究生教育创新计划高水平学术前沿讲座之三十

报告题目：Various Aspects of discontinuous Galerkin Discretizations for the
Maxwell Equations

报 告 人: Professor  Jaap van der Vegt, Department of Applied Mathematics
University of Twente, The Netherlands

报告时间：2012年11月21日 16:30

报告地点： 管理科研楼1518教室

摘要： Discontinuous Galerkin finite element methods are well suited for
the discretization of the Maxwell equations. Due to their local,
element-wise discretization they provide optimal flexibility for the
construction of higher order accurate and adaptive finite element
discretizations on unstructured meshes. This allows the efficient
capturing of local singularities and discontinuities at material
interfaces. In this presentation we will discuss various aspects of
discontinuous Galerkin discretizations and related methods for both the
time-harmonic and the time domain Maxwell equations. The first topic is
time integration methods for higher order Maxwell discretizations, with
special attention given to their dispersion and dissipation properties.
Next we will discuss optimal parameter estimates and a priori bounds for
symmetric DG discretizations of the second-order indefinite time-
harmonic Maxwell equations. These estimates are valid in the
pre-asymptotic regime, solely depend on the geometry and polynomial
order, and are free of unspecified constants. Finally, an implicit a
posteriori error estimation technique for the time-harmonic Maxwell
equations will be discussed.

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