PINN, phase field smoothing, discontinuous coefficients, elliptic equation.
Stochastic homogenization, multi-modes Monte Carlo method, normalizing field flows, random composite materials.
Magnetohydrodynamic, Multiscale neural network architecture, Multi-modes feature, Physics-preserving formulation, Divergence-free
thermomechanical coupled problems heterogeneous mediageneralized multiscale finite element methodcoupling multiscale basis functionserror estimates
composite structures, multiscale random configurations, SHTSP model, multilevel strategy, strength prediction
stratigraphic structure, stratigraphic transformer, sparse boreholes, quantification of uncertainty
Laser-assisted turning, Monocrystalline silicon, Flood cooling, Finite element method, Process parameters
Multiscale problems, Generalized Finite Element Method (GFEM), Localized subspace iteration (LSI), Krylov subspace, Spectral problems
1H NMR relaxation, Water transport, Calcium-silicate-hydrate (C-S-H), Evolution of water content