2 papers
math.NA2026
DTPFI: A stable algorithm for recovering nonlinear energy potentials in phase field systems
Tianhao Ni, Jun Lai
This work proposes a Dual Time Phase Field Inversion (DTPFI) method for recovering unknown potential functions in phase field models. The reconstruction is formulated as an optimiz…
math.NA2025
A Singularity Guided Nyström Method for Elastostatics on Two Dimensional Domains with Corners
Baoling Xie, Jun Lai
We develop a comprehensive analytical and numerical framework for boundary integral equations (BIEs) of the 2D Lamé system on cornered domains. By applying local Mellin analysis o…