99 citations · 527 across the 36 of their papers we have counts for
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math.NA2015★ 99 cited
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…
math.NA2015★ 99 cited
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…
math.NA2015★ 36 cited
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…