99 citations · 430 across the 30 of their papers we have counts for
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A Survey of Trefftz Methods for the Helmholtz Equation
Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
Trefftz methods are finite element-type schemes whose test and trial functions are (locally) solutions of the targeted differential equation. They are particularly popular for time…
A Plane Wave Virtual Element Method for the Helmholtz Problem
Ilaria Perugia, Paola Pietra, Alessandro Russo
We introduce and analyze a virtual element method (VEM) for the Helmholtz problem with approximating spaces made of products of low order VEM functions and plane waves. We restrict…
Trefftz discontinuous Galerkin methods on unstructured meshes for the wave equation
Andrea Moiola
We describe and analyse a space-time Trefftz discontinuous Galerkin method for the wave equation. The method is defined for unstructured meshes whose internal faces need not be ali…
A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems
Fritz Kretzschmar, Andrea Moiola, Ilaria Perugia +1
We present and analyse a space-time discontinuous Galerkin method for wave propagation problems. The special feature of the scheme is that it is a Trefftz method, namely that trial…