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Virtual element methods for non-Newtonian shear-thickening fluid flow problems.arXiv preprint arXiv:2601.04866, 2026

Paola F Antonietti, Louren¸ co Beir˜ ao da Veiga, Michele Botti, Andr´ e Harnist, Giuseppe Vacca, Marco Verani · 2026 · arXiv 2601.04866

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Auxiliary Gradient-Flow Solvers for Generalized Newtonian Models

math.NA · 2026-06-04 · unverdicted · novelty 7.0

Develops auxiliary gradient-flow solvers that shift nonlinearity in N-function governed variational problems to an auxiliary variable, with metric-space convergence proofs for p-Laplacian and p-Stokes in 4/3 ≤ p ≤ 4 and practical discretizations outperforming Newton in tests.

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  • Auxiliary Gradient-Flow Solvers for Generalized Newtonian Models math.NA · 2026-06-04 · unverdicted · none · ref 5

    Develops auxiliary gradient-flow solvers that shift nonlinearity in N-function governed variational problems to an auxiliary variable, with metric-space convergence proofs for p-Laplacian and p-Stokes in 4/3 ≤ p ≤ 4 and practical discretizations outperforming Newton in tests.