Mesh-based discretization methods

• Local methods
  • Finite differences (FD)
  • Finite elements (FEM)
  • Finite Volumes (FV)
  • Discontinuous Galerkin methods (DG)
  • Isogeometric analysis (IGA)
  • Summation-by-parts Simultaneous-approximation-term methods (SBP-SAT)
  • ...
• Global methods
  • Boundary element methods (BEM)