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math.NA2025
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…
math.NA2019
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…
math.NA2019
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…