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math.NA2017
Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods
Scott Congreve, Joscha Gedicke, Ilaria Perugia
We present a numerical study to investigate the conditioning of the plane wave discontinuous Galerkin discretization of the Helmholtz problem. We provide empirical evidence that th…
math.NA2017
Adaptive Refinement for -Version Trefftz Discontinuous Galerkin Methods for the Homogeneous Helmholtz Problem
Scott Congreve, Paul Houston, Ilaria Perugia
In this article we develop an -adaptive refinement procedure for Trefftz discontinuous Galerkin methods applied to the homogeneous Helmholtz problem. Our approach combines not…