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Computational Mechanics: Continuous and Discrete Models for Solids, Fluids and Structures offers a unified presentation of continuum mechanical models and their discrete counterpa… Read more
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Computational Mechanics: Continuous and Discrete Models for Solids, Fluids and Structures offers a unified presentation of continuum mechanical models and their discrete counterparts, giving a deeper understanding of the relationship that exists between the main numerical methods, finite element methods, and finite volume methods, also presenting the advantages and shortcomings of each. This book shows, with the use of MATLAB code snippets, how to implement the methods described for all types of different problems, including linear and nonlinear, stationary and time dependent, and solids and fluids, all presented for the typical common finite element, finite volume, and time stepping methods.
Academics and students in the field of computational engineering, computational mathematics; applied mathematicians and mechanical and structural engineers
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
PH
Peter Hansbo is known mainly for his work on adaptive Finite Element Methods (FEM), stabilised FEM for convection dominated flow, discontinuous FEM, and for methods for connecting models via interfaces