Nonlinear Finite Elements 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. Support for stationary nonlinear PDEs over regions. » Model with PDEs depending on space, time and the dependent. » Use PDEs depending on the derivative of the dependent. » Solve complex-valued nonlinear PDEs. » Specify nonlinear generalized Neumann boundary conditions. » Solve time-dependent nonlinear PDEs over regions. » Transient problems use automatic time-stepping techniques. Formulate coupled nonlinear PDEs for multi-physics analysis. » Solve computational fluid dynamics problems. » Program with the finite element method interface. Use a Newton algorithm for root finding of large systems of equations. » Related Examples Nonlinear Load Terms » Nonlinear Complex-Valued PDEs » Nonlinear Diffusion » Nonlinear Derivatives » Interactively Solve Nonlinear PDEs » Radiation Boundary Conditions » Magnetostatics » Sine-Gordon Equation » Transient Nonlinear Wave Equation » Transient Gray-Scott Model » Transient Landau-Ginzburg Model » Transient Nonlinear Heat Equation »
