This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.

Introduction to the Finite Element Method

Dynamics of structures

Topology optimization of continuum structures: A review*

This review paper provides an overview of different level-set methods for structural topology optimization. Level-set methods can be categorized with respect to the level-set-function parameterization, the geometry mapping, the physical/mechanical model, the information and the procedure to update the design and the applied regularization. Different approaches for each of these interlinked components are outlined and compared. Based on this categorization, the convergence behavior of the optimization process is discussed, as well as control over the slope and smoothness of the level-set function, hole nucleation and the relation of level-set methods to other topology optimization methods. The importance of numerical consistency for understanding and studying the behavior of proposed methods is highlighted. This review concludes with recommendations for future research.

Level-set methods for structural topology optimization: a review

Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations

http://www.caenet.cn/space/upload/2008/01/10/8834984538079.pdf

Behrooz Hassani

Papers

A review of homogenization and topology optimization I- homogenization theory for media with periodic structure

A review of homogenization and topology opimization II—analytical and numerical solution of homogenization equations

A review of homogenization and topology optimization III—topology optimization using optimality criteria

Structural topology optimization using ant colony methodology

Homogenization and Structural Topology Optimization