1. Apply variational principles to develop advanced finite element models for various problems in solids, fluids, and heat transfer areas.
2. Develop and solve finite models in nonlinear mechanics including geometric and material nonlinearities.
3. Solve advanced problems in solid mechanics using general-purpose finite element codes for two- and three-dimensional solid elasticity and plate bending problems.
4. Solve advanced problems in fluid mechanics using general-purpose finite element codes for incompressible and compressible fluids.
5. Solve advanced problems in heat transfer using general-purpose finite element codes for problems with convection and radiation.
6. Use various structured and unstructured mesh generation techniques for complex geometries.
7. Analyze and evaluate the solution of finite element codes.
8. Code advanced finite element programs with minimum extra training.
9. Apply the method to advanced problems in their specific field of study.