We present a survey of the nonconforming Trefftz virtual element method for the Laplace and Helmholtz equations. For the latter, we present a new abstract analysis, based on weaker assumptions on the stabilization, and numerical results on the dispersion analysis, including comparison with the plane wave discontinuous Galerkin method.
翻译:我们对Laplace和Helmholtz等式的与Trefftz不兼容的虚拟元素方法进行了调查。 对于后者,我们根据对稳定性的较弱假设和分散分析的数字结果,包括同飞机波不连续的Galerkin方法的比较,提出了新的抽象分析。