Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn-Hilliard equation. - Ying Zhao 004; Dominik Schillinger; Bai-Xiang Xu (J. Comput. Phys., 2017)

Lossless Multi-Scale Constitutive Elastic Relations with Artificial Intelligence. - Jaber Rezaei Mianroodi; Shahed Rezaei; Nima H. Siboni; Bai-Xiang Xu; Dierk Raabe (CoRR, 2021)

A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: comparison with finite element method. - Shahed Rezaei; Ali Harandi; Ahmad Moeineddin; Bai-Xiang Xu; Stefanie Reese (CoRR, 2022)

AI enhanced finite element multiscale modelling and structural uncertainty analysis of a functionally graded porous beam. - Da Chen; Nima Emami; Shahed Rezaei; Philipp L. Rosendahl; Bai-Xiang Xu; Jens Schneider; Kang Gao; Jie Yang (CoRR, 2022)

Multivariate hyperspectral data analytics across length scales to probe compositional, phase, and strain heterogeneities in electrode materials. - David A. Santos; Justin L. Andrews; Binbin Lin; Luis R. De Jesus; Yuting Luo; Savannah Pas; Michelle A. Gross; Luis Carillo; Peter Stein; Yu Ding; Bai-Xiang Xu; Sarbajit Banerjee (Patterns, 2022)

A robust finite strain isogeometric solid-beam element. - Abdullah Shafqat; Oliver Weeger; Bai-Xiang Xu (CoRR, 2023)

Variational Approximation for a Non-Isothermal Coupled Phase-Field System: Structure-Preservation & Nonlinear Stability. - Aaron Brunk; Oliver Habrich; Timileyin David Oyedeji; Yangyiwei Yang; Bai-Xiang Xu (Comput. Methods Appl. Math., 2025)

STEM Diffraction Pattern Analysis with Deep Learning Networks. - Sebastian Wissel; Jonas Scheunert; Aaron Dextre; Shamail Ahmed; Andreas Bayer; Kerstin Volz; Bai-Xiang Xu (CoRR, 2025)