Computational Mechanics

Part I. Elementary mathematical models in continuum mechanics 1. Mathematical modeling with ordinary differential equations 2. Boundary value problems in several dimensions 3. Time dependent problems 4. Mixed problems

Part II. Introduction to numerical modeling 5. The basics 6. Adaptive finite element methods 7. Time-dependent problems 8. Mixed methods

Part III. Advanced and nonlinear models in continuum mechanics 9. Material Models in Small Deformation Solid Mechanics 10. General Principles in Continuum Mechanics 11. Large Deformation Solid Mechanics 12. Thermodynamics 13. Fluids 14. Stability problems 15. Contact problems

Part IV. Advanced numerical modeling 16. Solution algorithms for linear systems of equations 17. Non-linear problems 18. Adaptive finite element methods 19. Practical Adaptivity and Mesh Generation 20. Finite Elements in Fluids 21. Non-conforming finite element methods

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• Modelagem computacional e simulação
• Matemática aplicada

main continuum; mechanical; partial differential equation; models; numerical methods; finite element methods; finite volume; Matlab; linear problems; nonlinear problems; stationary; time dependent; solids; fluids; time stepping