From the 1 of 6 linked papers with an AI index.
6 papers
Comparison of Structure Preserving Schemes for the Cahn-Hilliard-Navier-Stokes Equations with Degenerate Mobility and Adaptive Mesh Refinement
Jimmy Kornelije Gunnarsson, Robert Klöfkorn
The paper compares several decoupled implicit‑explicit discontinuous Galerkin schemes for the Cahn‑Hilliard‑Navier‑Stokes equations with degenerate mobility, using adaptive mesh re…
A Discontinuous Galerkin Scheme for the Cahn-Hilliard Equations with Discrete Maximum Principle for Arbitrary Polynomial Order
Jimmy Kornelije Gunnarsson, Robert Klöfkorn
We propose a structure-preserving discontinuous Galerkin scheme for the Cahn--Hilliard equations with degenerate mobility based on the Symmetric Weighted Interior Penalty formulati…
Bryne: sustainable prototyping of finite element models
Benjamin Terschanski, Robert Klöfkorn, Andreas Dedner +1
Open-source simulation frameworks are evolving rapidly to provide accessible tools for the numerical solution of partial differential equations. Modern finite element (FEM) softwar…
The Distributed and Unified Numerics Environment (DUNE), Version 2.10
Markus Blatt, Samuel Burbulla, Ansgar Burchardt +9
Version 2.10 of the Distributed and Unified Numerics Environment DUNE introduces a range of enhancements across its core and extension modules, with a continued emphasis on modern…
Jacobian-free Multigrid Preconditioner for Discontinuous Galerkin Methods applied to Numerical Weather Prediction
Philipp Birken, Andreas Dedner, Robert Klöfkorn
Discontinuous Galerkin (DG) methods are promising high order discretizations for unsteady compressible flows. Here, we focus on Numerical Weather Prediction (NWP). These flows are…
Physics-informed 4D X-ray image reconstruction from ultra-sparse spatiotemporal data
Zisheng Yao, Yuhe Zhang, Zhe Hu +3
The unprecedented X-ray flux density provided by modern X-ray sources offers new spatiotemporal possibilities for X-ray imaging of fast dynamic processes. Approaches to exploit suc…