19 citations · 33 across the 12 of their papers we have counts for
17 papers
Partition of unity a posteriori error estimators for the linear elasticity eigenvalue problem
Joscha Gedicke, Karen Petersen
In this paper we consider the linear elasticity eigenvalue problem with different boundary conditions and examine two a posteriori error estimators, that compute solutions to local…
A generalized Hessian-based error estimator for an IPDG formulation of the biharmonic problem in two dimensions
Théophile Chaumont-Frelet, Joscha Gedicke, Lorenzo Mascotto
We consider a two dimensional biharmonic problem and its discretization by means of a symmetric interior penalty discontinuous Galerkin method. A novel split of an error measure ba…
Memory- and compute-optimized geometric multigrid GMGPolar for curvilinear coordinate representations -- Applications to fusion plasma
Julian Litz, Philippe Leleux, Carola Kruse +2
Tokamak fusion reactors are actively studied as a means of realizing energy production from plasma fusion. However, due to the substantial cost and time required to construct fusio…
Generalised gradients for virtual elements and applications to a posteriori error analysis
Théophile Chaumont-Frelet, Joscha Gedicke, Lorenzo Mascotto
We rewrite the standard nodal virtual element method as a generalised gradient method. This re-formulation allows for computing a reliable and efficient error estimator by locally…
Adaptive virtual elements based on hybridized, reliable, and efficient flux reconstructions
F. Dassi, J. Gedicke, L. Mascotto
We present two a posteriori error estimators for the virtual element method (VEM) based on global and local flux reconstruction in the spirit of [5]. The proposed error estimators…
Adaptive virtual element methods with equilibrated fluxes
Franco Dassi, Joscha Gedicke, Lorenzo Mascotto
We present an hp-adaptive virtual element method (VEM) based on the hypercircle method of Prager and Synge for the approximation of solutions to diffusion problems. We introduce a…
A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia +1
We present an equilibration-based a posteriori error estimator for Nédélec element discretizations of the magnetostatic problem. The estimator is obtained by adding a gradient corr…
An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia
We present a novel \textit{a posteriori} error estimator for Nédélec elements for magnetostatic problems that is constant-free, i.e. it provides an upper bound on the error that do…
Benchmark computation of eigenvalues with large defect for non-selfadjoint elliptic differential operators
Rebekka Gasser, Joscha Gedicke, Stefan Sauter
In this paper we present benchmark problems for non-selfadjoint elliptic eigenvalue problems with large defect and ascent. We describe the derivation of the benchmark problem with…
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…
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…
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…
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…
An A Posteriori Analysis of C^0 Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates
Susanne C. Brenner, Joscha Gedicke, Li-yeng Sung +1
We develop an a posteriori analysis of C^0 interior penalty methods for the displacement obstacle problem of clamped Kirchhoff plates. We show that a residual based error estimator…