3 papers
math.NA2025
A bound-preserving and conservative enriched Galerkin method for elliptic problems
Gabriel R. Barrenechea, Philip L. Lederer, Andreas Rupp
We propose a locally conservative enriched Galerkin scheme that preserves the physical bounds for an elliptic problem. To this end, we use a substantial over-penalization of the di…
math.NA2025
On positivity preservation of hybrid discontinuous Galerkin methods on hypergraphs
Petr Knobloch, Philip L. Lederer, Andreas Rupp
Hybrid finite element methods, particularly hybridized discontinuous Galerkin (HDG) methods, are efficient numerical schemes for discretizing the diffusion equation, which encompas…
math.NA2024
Homogeneous multigrid for hybrid discretizations: application to HHO methods
Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat +2
We prove the uniform convergence of the geometric multigrid V-cycle for hybrid high-order (HHO) and other discontinuous skeletal methods. Our results generalize previously establis…