19 citations · 33 across the 12 of their papers we have counts for
4 papers · 1 filter
Arnold-Winther mixed finite elements for Stokes eigenvalue problems
Joscha Gedicke, Arbaz Khan
This paper is devoted to study the Arnold-Winther mixed finite element method for two dimensional Stokes eigenvalue problems using the stress-velocity formulation. A priori error e…
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…
Numerical Homogenization of Heterogeneous Fractional Laplacians
Donald L. Brown, Joscha Gedicke, Daniel Peterseim
In this paper, we develop a numerical multiscale method to solve the fractional Laplacian with a heterogeneous diffusion coefficient. When the coefficient is heterogeneous, this ad…
Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM
C. Carstensen, D. Gallistl, J. Gedicke
This paper introduces an explicit residual-based a posteriori error analysis for the symmetric mixed finite element method in linear elasticity after Arnold-Winther with pointwise…