Computational Mechanics: Continuous and Discrete Models for Solids, Fluids and Structures

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.

• Contains derivation of continuous models and discrete models in a unified, mixed engineering/mathematical manner
• Presents numerical methods and their implementation in Matlab
• Explores finite element methods, discontinuous finite element methods, and finite volume methods within the same framework