A nonconforming Trefftz virtual element method for the Helmholtz problem

Volume: 29, Issue: 09, Pages: 1619 - 1656
Published: Aug 1, 2019
Abstract
We introduce a novel virtual element method (VEM) for the two-dimensional Helmholtz problem endowed with impedance boundary conditions. Local approximation spaces consist of Trefftz functions, i.e. functions belonging to the kernel of the Helmholtz operator. The global trial and test spaces are not fully discontinuous, but rather interelement continuity is imposed in a nonconforming fashion. Although their functions are only implicitly defined,...
Paper Details
Title
A nonconforming Trefftz virtual element method for the Helmholtz problem
Published Date
Aug 1, 2019
Volume
29
Issue
09
Pages
1619 - 1656
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