A fast spectral-multigrid Poisson solver in non-Cartesian geometries

arXiv:2606.17636 · astro-ph.IM, astro-ph.EP, astro-ph.GA, astro-ph.HE, astro-ph.SR · Submitted 2026-06-16 · Read on arXiv

Ankush Mandal, Oliver Gressel, Udo Ziegler, Andrea Mignone

astro-ph.IM, astro-ph.EP, astro-ph.GA, astro-ph.HE, astro-ph.SR

Submitted: 2026-06-16

Comments: Accepted for publication in ApJS

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Accuracy — 37× in this paper · explained in 1 episode
• Core — 29× in this paper · explained in 2 episodes
• Robustness — 6× in this paper · explained in 5 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Communication Overhead — 4× in this paper · explained in 2 episodes
• Consistency — 4× in this paper · explained in 3 episodes
• Anisotropy — 2× in this paper · explained in 3 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Successive Over-Relaxation — 2× in this paper
• Adam — 1× in this paper · explained in 2 episodes
• Computational Tractability — 1× in this paper · explained in 2 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Dynamical regimes — 1× in this paper · explained in 2 episodes
• Magnetohydrodynamics (MHD) — 1× in this paper · explained in 3 episodes

Sources

• Convergence analysis of a cell centered finite volume diffusion operator on non-orthogonal polyhedral meshes
• A Massively Parallel Performance Portable Free-space Spectral Poisson Solver

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