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

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9781785480119: Computational Mechanics: Continuous and Discrete Models for Solids, Fluids and Structures
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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.



  • 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

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About the Author:

Peter Hansbo's research is aimed at developing improved (i.e., faster, more accurate, simpler) numerical models for the solution of problems related to classical field theories, i.e., systems of partial differential equations that describe phenomena such as convection, strength of materials, and wave propagation. In particular he focuses on multiphysics problems, e.g., the connection between various physical systems such as fluid-structure interaction.
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

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