Tent pitching and Trefftz-DG method for the acoustic wave equation
Tent pitching and Trefftz-DG method for the acoustic wave equation
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帐篷搭建和声波方程的 Trefftz-DG 方法
DOI：
10.1016/j.camwa.2020.01.006
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
C. Wintersteiger
中科院分区：
文献类型：
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作者：
I. Perugia;J. Schöberl;P. Stocker;C. Wintersteiger
我们提出了一种时空Trefftz间断Galerkin方法，用于在帐篷倾斜网格上半显式逼近声波方程。DG Trefftz方法使用不连续的测试和试函数，局部求解波动方程。帐篷式斜网格允许我们求解方程elementwise，允许局部最优的时间进展。该方法在NGSolve中实现，尽可能并行求解时空元素。洞察到的实施细节，包括在异构介质中的传播的情况下。
We present a space–time Trefftz discontinuous Galerkin method for approximating the acoustic wave equation semi-explicitly on tent pitched meshes. DG Trefftz methods use discontinuous test and trial functions, which solve the wave equation locally. Tent pitched meshes allow us to solve the equation elementwise, allowing locally optimal advances in time. The method is implemented in NGSolve, solving the space–time elements in parallel, whenever possible. Insights into the implementational details are given, including the case of propagation in heterogeneous media.