Topic Sub-topic
The boundary element method for potential problems - Interior and exterior problems for the Laplace equation
- Fundamental solution of the Laplacian
- Representation formula of a harmonic function
- Derivation of the boundary integral equations
- Direct and indirect methods. Analysis of the variational formulations
- Discretization. A priori error estimates
- Practical considerations of the numerical solution of the discrete problem
The boundary element method in acoustics - The wave equation and the Helmholtz equation
- Acoustic scattering and radiation problems in harmonic regime
- Fundamental solutions of the Helmholtz operator
- Green's representation formula. Single and double layer potentials
- Boundary integral equations
- Direct and indirect methods
- Discretization
- Implementation