From the 1 of 4 linked papers with an AI index.
4 papers
Multi-Solver Coupling for Parallel Adaptive Multi-Physics Simulations with Trixijl and dealII
Vivienne Ehlert, Gregor Gassner, Martin Kronbichler +2
The paper introduces a portable cross-language framework for coupling parallel adaptive solvers using Trixi.jl and deal.II, and demonstrates its use on a strongly‑coupled Newtonian…
Solving the (Navier-)Stokes equations with space and time adaptivity using deal.II
Peter Munch, Marc Fehling, Martin Kronbichler +2
In this article, we solve the Stokes and Navier-Stokes equations with the dealII finite-element library. In particular, we use its multigrid, adaptive-mesh, and matrix-free infr…
A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
Jake Harmon, Martin Kronbichler, Matthias Maier +1
We propose a rigorous, conservative invariant-domain preserving (IDP) projection technique for hierarchical discretizations that enforces membership in physics-implied convex sets…
Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations
Martin Kronbichler, Matthias Maier, Ignacio Tomas
We present a graph-based numerical method for solving hyperbolic systems of conservation laws using discontinuous finite elements. This work fills important gaps in the theory as w…