19 citations · 33 across the 12 of their papers we have counts for
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math.NA2018
Robust adaptive hp discontinuous Galerkin finite element methods for the Helmholtz equation
Scott Congreve, Joscha Gedicke, Ilaria Perugia
This paper presents an a posteriori error analysis for the 2D Helmholtz equation that is robust in the polynomial degree and the wave number . For the discretization, w…
math.NA2018
Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems
Joscha Gedicke, Arbaz Khan
In this paper, we present a divergence-conforming discontinuous Galerkin finite element method for Stokes eigenvalue problems. We prove a priori error estimates for the eigenvalue…
math.NA2018
Upscaling Singular Sources in Weighted Sobolev Spaces by Sub-Grid Corrections
Donald L. Brown, Joscha Gedicke
In this paper, we develop a numerical multiscale method to solve elliptic boundary value problems with heterogeneous diffusion coefficients and with singular source terms. When the…