A new differentiable reconstruction method uses symmetrized hyperspherical harmonics on quaternions plus two- and three-point descriptors to generate 3D microstructures from 2D data, demonstrated on aluminum alloy with L-BFGS-B optimization.
and Dawson, P.R
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Thermal-crystal plasticity simulations combined with dynamic mode decomposition show that thermal stress responses under cyclic loading can be compactly represented as superpositions of frequency-dependent temporal modes.
A reduced-integration stabilization for VEM at finite strains is introduced using scaled boundary parametrization and one-point analytical integration per section, validated on patch tests and nonlinear examples.
Forward-operator geometry analysis shows identifiability limits in ultrasonic models arise from parameter coupling, anisotropic sensitivity, and stochastic variability, with combined observables improving conditioning.
Uncertainty-aware neural networks using Gaussian negative log-likelihood and dropout are applied to predict intrinsic magnetic properties and coercivity via graph neural networks in permanent magnet research.
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Reduced integration with scaled boundary parametrization for virtual elements at finite strains
A reduced-integration stabilization for VEM at finite strains is introduced using scaled boundary parametrization and one-point analytical integration per section, validated on patch tests and nonlinear examples.