Solution verification for an LCO mesostructure using CDFEM is shown in Fig. 6. In this problem, we investigate five quantities of interest (QOIs). The first three are related to the ability of the CDFEM method to capture the geometry of the mesostructure, namely, the particle volume (curve with square markers), the external surface area of the particles (curve with circular markers), and the particle-to-particle contact area (curve with triangle markers). Capturing the volume is necessary for getting the electrochemical capacity and porosity of the electrode. The electrochemical reactions take place on the particle surfaces, so capturing the surface area is critical for this phenomena. Additionally, we expect that the mechanical stresses can be dominated by stress concentrators on the surface, which will be more accurately captured as the surface area converges. Finally, electronic transport through the particle network will be dominated by the contact area between particles, making this QOI relevant. We would expect that these geometric quantities would converge at second-order, and this is exactly what is observed for the volume (2.17) and surface area (2.18), based on a Richardson extrapolation. The volume gets captured very well with very coarse meshes, while more refined meshes are required for converged surface and contact areas, with the contact area not yet approaching quadratic convergence at the most refined mesh (1.54). Note that the most refined mesh, which has an element edge length of 0.0625 *μ*m, which is on the order of the experimental data voxel size, is comprised of over 100 × 10^{6} computational elements, requiring significant computational resources to solve.