Proximal Galerkin method exactly enforces the isometry constraint for nonlinear plates at mesh cell barycenters without preprocessing, yielding asymptotically mesh-independent convergence.
arXiv preprint arXiv:2507.13516 (2025)
3 Pith papers cite this work. Polarity classification is still indexing.
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math.NA 3years
2026 3representative citing papers
A new family of proximal DG methods for variational inequalities is proposed, with the hybrid high-order variant achieving the first higher-order convergence for proximal Galerkin methods.
The proximal Galerkin method reformulates phase-field fracture constraints into saddle-point problems to enforce physical bounds and irreversibility for static and dynamic cases.
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Proximal Galerkin for the isometry constraint
Proximal Galerkin method exactly enforces the isometry constraint for nonlinear plates at mesh cell barycenters without preprocessing, yielding asymptotically mesh-independent convergence.
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A new family of proximal DG methods for variational inequalities is proposed, with the hybrid high-order variant achieving the first higher-order convergence for proximal Galerkin methods.
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Proximal Galerkin for Phase Field Fracture
The proximal Galerkin method reformulates phase-field fracture constraints into saddle-point problems to enforce physical bounds and irreversibility for static and dynamic cases.