典型文献
Hybrid High-Order Methods for the Acoustic Wave Equation in the Time Domain
文献摘要：
We devise hybrid high-order(HHO)methods for the acoustic wave equation in the time domain.We first consider the second-order formulation in time.Using the Newmark scheme for the temporal discretization,we show that the resulting HHO-Newmark scheme is energy-conservative,and this scheme is also amenable to static condensation at each time step.We then consider the formulation of the acoustic wave equation as a first-order system together with singly-diagonally implicit and explicit Runge-Kutta(SDIRK and ERK)schemes.HHO-SDIRK schemes are amenable to static condensation at each time step.For HHO-ERK schemes,the use of the mixed-order formulation,where the poly-nomial degree of the cell unknowns is one order higher than that of the face unknowns,is key to benefit from the explicit structure of the scheme.Numerical results on test cases with analytical solutions show that the methods can deliver optimal convergence rates for smooth solutions of order O(hk+1)in the H1-norm and of order O(hk+2)in the L2-norm.Moreover,test cases on wave propagation in heterogeneous media indicate the benefits of using high-order methods.
文献关键词：
中图分类号：
作者姓名：
Erik Burman;Omar Duran;Alexandre Ern
作者机构：
Department of Mathematics,University College London,London WC1E 6BT,UK;CERMICS,Ecole des Ponts,77455 Marne la Vallée Cedex 2,France;INRIA Paris,75589 Paris,France
文献出处：
引用格式：
[1]Erik Burman;Omar Duran;Alexandre Ern-.Hybrid High-Order Methods for the Acoustic Wave Equation in the Time Domain)[J].应用数学与计算数学学报,2022(02):597-633
A类：
diagonally,SDIRK,nomial,hk+1,hk+2
B类：
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AB值：
0.491559
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