A Trace--Logarithmic Variational Functional for Equidistribution and Alignment in Moving Mesh Adaptation

Existing variational mesh functionals often require an empirical equidistribution--alignment weight or use a strongly nonlinear density. We propose a calibrated trace--logarithmic functional in the inverse pullback tensor $ A= J^{-1}M^{-1}J^{-T}$,with the logarithmic coefficient fixed by the local t