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From the 2 of 7 linked papers with an AI index.

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7 papers

math.NA2026

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…

math.NA2026

Massively parallel numerical simulations with Julia

Simon Candelaresi, Benedict Geihe, Marco Artiano +6

The paper evaluates how the Julia programming language performs for large-scale, parallel computational fluid dynamics simulations, comparing it to a Fortran implementation and dem…

math.NA2026

Volume Term Adaptivity for Discontinuous Galerkin Schemes

Daniel Doehring, Jesse Chan, Hendrik Ranocha +3

We introduce the concept of volume term adaptivity for high-order discontinuous Galerkin (DG) schemes solving time-dependent partial differential equations. Termed v-adaptivity, we…

math.NA2026

Jin-Xin relaxation as a shock-capturing method for high-order DG/FR schemes

Marco Artiano, Arpit Babbar, Michael Schlottke-Lakemper +2

Jin-Xin relaxation is a method for approximating non-linear hyperbolic conservation laws by a linear system of hyperbolic equations with an dependent stiff source ter…

math.NA2025

Robust and efficient pre-processing techniques for particle-based methods including dynamic boundary generation

Niklas S. Neher, Erik Faulhaber, Sven Berger +3

Obtaining high-quality particle distributions for stable and accurate particle-based simulations poses significant challenges, especially for complex geometries. We introduce a pre…

math.NA2025

Mimetic Metrics for the DGSEM

Daniel Bach, Andrés Rueda-Ramírez, David A. Kopriva +1

Free-stream preservation is an essential property for numerical solvers on curvilinear grids. Key to this property is that the metric terms of the curvilinear mapping satisfy discr…