Description
Book SynopsisThis textbook is designed for an introductory course at undergraduate and graduate levels for bioengineering students. It provides a systematic way of examining bioengineering problems in a multidisciplinary computational approach. The book introduces basic concepts of multidiscipline-based computational modeling methods, provides detailed step-by-step techniques to build a model with consideration of underlying multiphysics, and discusses many important aspects of a modeling approach including results interpretation, validation, and assessment.
Table of ContentsI Readying the Integrative Mindset
1 From Compartmentalized Disciplines to Transdiscipline
II Cracking Open the Blackbox of Computational Modeling
2 Engineering Problems and Partial Differential Equations
3 Where Do Differential Equations Come From?
4 Approximate Solutions to Differential Equations
5 Discretization of Physical Domains
6 Solving Differential Equations Computationally
7 Scalar Field Problems in Higher Dimensions8 Vector Field Problems in Higher Dimensions
9 Axisymmetric Scalar and Vector Field Problems
10 Isoparametric Elements
11 Gauss Quadrature and Numerical Integration
12 Dealing with Generalized PDEs13 Errors in FEM Results
III Developing Hands-On Modeling Skills 327
14 A Quick Tour of the COMSOL Modeling Environment
15 A Glimpse of the ABAQUS and ANSYS User Interfaces16 Dealing with Problems of Biomedical and Regulatory Interest
IV Useful Knowledge
A Mechanics of Materials
B Useful Mathematic Knowledge
Index
