ABSTRACT

This 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.

part I|12 pages

Readying the Integrative Mindset

part II|314 pages

Cracking Open the Blackbox of Computational Modeling

chapter 3|12 pages

Where Do Differential Equations Come From?

chapter 5|56 pages

Discretization of Physical Domains

chapter 7|18 pages

Scalar Field Problems in Higher Dimensions

chapter 8|24 pages

Vector Field Problems in Higher Dimensions

chapter 10|48 pages

Isoparametric Elements

chapter 11|28 pages

Gauss Quadrature and Numerical Integration

chapter 12|16 pages

Dealing with Generalized PDEs

chapter 13|14 pages

Errors in FEM Results

part III|60 pages

Developing Hands-On Modeling Skills

part IV|23 pages

Useful Knowledge