Parameters

Geometrically we consider the part-spheres to have one flat surface when $h<d$; in the case $h=0.5d$ the geometry will resemble the half-sphere from section 5.2.

We perform the phase diagram studies using the material parameters for
Ni$_{50}$Fe$_{50}$ permalloy ($M_s$ = 1.11$\times$10$^6$ A/m, $A$ = 5.85 $\times10^{-12}$ J/m, $K1$ = 0 J/m$^3$, see also appendix C) and a damping constant $\alpha$ of 0.25 to improve convergence.