Showing math.NAShow all
3 papers · 1 filter
math.NA2026
MORTIS: Quadrature-compatible cofactor gauges and optimal material margins in finite elasticity
Yanlin Liu, Kaixiang Yao, Chao Huang +1
We develop a discrete design theory for cofactor reference forms that preserve the complete finite-element elasticity tangent. A fixed continuous potential generates the coefficien…
math.NA2026
RUPA: Nonlinear volume consistency, constraint geometry and singular penalty limits in finite elements
Yanlin Liu, Chao Huang, Kaixiang Yao +1
Volume quadrature can change nonlinear finite-element constraints while preserving their reference-state derivatives. We connect an explicit determinant defect to feasible-set geom…
math.NA2026
TOGEARI: Interaction-Space Preconditioning for Condensed Finite-Element Systems with IPC Contact
Yanlin Liu, Chao Huang, Kaixiang Yao +1
TOGEARI constructs a compressed contact correction for condensed finite-element equations with incremental potential contact (IPC). A core-conditioned interaction matrix ranks cont…