This book can be considered as an extension to the previous publication (Finite Element Formulations for Statics and Dynamics of Frame Structures) as it dwells on two-dimensional formulation of continuums. Also, the discussion has been extended to nonlinear formulation to cater for the nonlinearity of Navier-Stokes equations. However, in ensuring it to be self-contained, the discussions on the basic concept of numerical methods from the previous publication have been combined, shortened and included in the introduction chapter of this book (Chapter 1). The book is still prepared based on the similar approach that a topic always begins with the derivation of the partial differential equations of the problem and followed by the discretization into matrix forms using Galerkin Weighted Residual method hence FEM. At the end of a chapter, worked example and Matlab source code are provided.
[Cite]
Yassin, A. Y. M., et al (2020). 2D Finite Element Formulations for Heat, Solid and Fluid (with Matlab). Malaysian Society for Numerical Methods. Perak, Malaysia.