For a broad class of convex subgradient flows, the paper derives separate primal and dual gap identities that express the error exactly as Bregman divergences and localizable time-space integrals.
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4 Pith papers cite this work, alongside 2 external citations. Polarity classification is still indexing.
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2026 4representative citing papers
A Fenchel-duality analysis of flux-constrained Darcy flow yields an exact primal-dual gap error identity and Raviart–Thomas/Crouzeix–Raviart discretizations with fractional-regularity convergence rates.
A prox-based semi-smooth Newton method for TV-minimization that is globally well-posed and locally superlinearly convergent under finite element discretization, extending to broader convex problems.
A prox-based semi-smooth Newton method is proposed for finite-element discretizations of convex variational problems, with global well-posedness and local superlinear convergence established under suitable assumptions on energy densities.
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A $\operatorname{prox}$-Based Semi-Smooth Newton Method for Convex Variational Problems
A prox-based semi-smooth Newton method is proposed for finite-element discretizations of convex variational problems, with global well-posedness and local superlinear convergence established under suitable assumptions on energy densities.