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

Abstract

AbstractWe 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 solution algorithm coupled to a variable‐step, variable‐order time stepping scheme. Numerical experiments show the adaptive meshing and distribution of the locally varying polynomial degrees of the finite element method. In particular, for a sufficient large range of polynomial degrees we achieve significant computational savings compared to an h‐adaptive algorithm.