Study on an hp‐Adaptive Finite Element Solver for a Chemo‐Mechanical Battery Particle Model

We consider a Cahn–Hilliard-type phase-field model for phase separation and large deformations in battery electrode particles. For the numerical solution we employ an hp-adaptive finite element algorithm coupled to variable-step, variable-order time stepping scheme. Numerical experiments show adaptive meshing distribution of locally varying polynomial degrees method. In particular, sufficient range achieve significant computational savings compared h-adaptive algorithm.