Version 12 extends its numerical partial differential equation-solving capabilities to solve nonlinear partial differential equations over arbitrary-shaped regions with the finite element method. Given a nonlinear, possibly coupled partial differential equation (PDE), a region specification and boundary conditions, the numerical PDE-solving capabilities find solutions to stationary and time-dependent nonlinear partial differential equations. This functionality will enable you to model a much larger class of industry-relevant applications from domains like physics, chemistry, mechanics, fluid dynamics and many more.