1. Preliminaries
1.1 Vector and integral identities
1.2 Electromagnetic theory
1.3 Scattering problems and radiation conditions
2. Variational formulation
2.1 Vector spaces
2.2 Sobolev spaces
2.3 Variational form of boundary value problems
2.4 Finite element method
3. Finite element implementation
3.1 Introduction
3.2 Mesh generation (Matlab code download)
3.3 Construction of vector edge elements
3.4 Basis steps of finite element method
4. Variational theory for Maxwell's equations
4.1 Helmholtz decomposition
4.2 Tangential trace space
4.3 Weak solution of Maxwell's equations
5. Finite element analysis for Maxwell's equations
5.1 Introduction
5.2 The discrete problem
5.3 The error analysis