Modern Society

The Industrial Society is characterized by Automation of Production (Ford prod. line).

The Information Society is characterized by Automation of Computation (computer).

Modern Society being a combination of Industrial Society and Information Society, is characterized by Automation of Production and Computation.

Key elements of Computational Mathematical Modeling:

Automation of discretization: Galerkin methods (finite elements)

Automation of meshing: mesh-adaptivity to fit specific solution

Automation of optimization: solution-adaptivity to fit opt. criteria

Automation of pde-modeling: key open problem!