A no-go theorem establishes that density-independent mass matrices cause sharp O(h²) energy residuals in discrete vector-invariant compressible Navier-Stokes on Delaunay-Voronoi meshes; the density-weighted construction eliminates the residual and yields global well-posedness plus Lyapunov stability
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2026 2verdicts
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A new discrete exterior calculus scheme for incompressible fluid equations preserves geometric structure and energy, yielding convergence results across smooth, weak, measure-valued, and dissipative regimes on specific meshes.
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