29 citations · 73 across the 14 of their papers we have counts for
15 papers
A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods
Peipei Lu, Roland Maier, Andreas Rupp
We formulate and analyze a multiscale method for an elliptic problem with an oscillatory coefficient based on a skeletal (hybrid) formulation. More precisely, we employ hybrid disc…
Homogeneous multigrid method for HDG applied to the Stokes equation
Peipei Lu, Wei Wang, Guido Kanschat +1
We propose a multigrid method to solve the linear system of equations arising from a hybrid discontinuous Galerkin (in particular, a single face hybridizable, a hybrid Raviart--Tho…
Parameter estimation for cellular automata
Alexey Kazarnikov, Nadja Ray, Heikki Haario +2
Self-organizing complex systems can be modeled using cellular automaton models. However, the parametrization of these models is crucial and significantly determines the resulting s…
Error estimates for completely discrete FEM in energy-type and weaker norms
Lutz Angermann, Peter Knabner, Andreas Rupp
The paper presents error estimates within a unified abstract framework for the analysis of FEM for boundary value problems with linear diffusion-convection-reaction equations and b…
Quasi-Monte Carlo and discontinuous Galerkin
Vesa Kaarnioja, Andreas Rupp
In this study, we consider the development of tailored quasi-Monte Carlo (QMC) cubatures for non-conforming discontinuous Galerkin (DG) approximations of elliptic partial different…
Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations
Andreas Rupp, Markus Gahn, Guido Kanschat
We introduce a general, analytical framework to express and to approximate partial differential equations (PDEs) numerically on graphs and networks of surfaces---generalized by the…