Math 266 A-B-C

Overview

1. Mesh generation: discretization of domain;
2. Various methods: discretization of PDE;
3. Iterative methods: solvers for the algebraic equations;
4. Post-processing: improve the computed solution.

Popular methods

• finite difference methods
• finite element methods
• mixed and non-conforming finite element methods
• finite volume methods
• adaptive methods

Typical model problems

• elliptic problems
• parabolic problems
• hyperbolic problems
• convection dominated problems
• nonlinear problems

Convergence Theory

• Function spaces
• Stability
• Approximation theory

Implementation