Sharp-peak functions enable exact penalization of binary constraints, with global minimizers of the penalty model coinciding with UBIP solutions above a threshold, supported by a linearly convergent ADMM-based algorithm to P-stationary points.
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A radius-ratio energy is minimized to optimize simplex meshes by combining vertex movement and connectivity changes, removing slivers and raising overall element quality.
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Sharp-Peak Functions for Exactly Penalizing Binary Integer Programming
Sharp-peak functions enable exact penalization of binary constraints, with global minimizers of the penalty model coinciding with UBIP solutions above a threshold, supported by a linearly convergent ADMM-based algorithm to P-stationary points.
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Global Energy Minimization for Simplex Mesh Optimization: A Radius Ratio Approach to Sliver Elimination
A radius-ratio energy is minimized to optimize simplex meshes by combining vertex movement and connectivity changes, removing slivers and raising overall element quality.