论文标题
hp的稳定性和融合分析HP的HP有限元离散的Helmholtz问题在分段平滑介质中
Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media
论文作者
论文摘要
我们提出了对HP有限元方法的波数说明融合分析，该方法应用于一类的异质Helmholtz问题，该方法在大型波数$ k $上具有分段分析系数。我们的分析涵盖了罗宾，精确的dirichlet到neumann和二阶吸收边界条件以及完美匹配的层的异质Helmholtz方程。
We present a wavenumber-explicit convergence analysis of the hp finite element method applied to a class of heterogeneous Helmholtz problems with piecewise analytic coefficients at large wavenumber $k$. Our analysis covers the heterogeneous Helmholtz equation with Robin, exact Dirichlet-to-Neumann, and second order absorbing boundary conditions, as well as perfectly matched layers.
