### Partial Differential Equations - Project Course ENM, TMA632, Quarter II Fall 2010.

**Lectures and examination:**

Nils Svanstedt

tel: 772 5346

nilss@chalmers.se

**Teaching assistant:**

Hermann Douanla
tel: 772 3583

douanla@chalmers.se

**Lectures:**

Wednesdays 10-11.45 in in MVF 31 except week 2 when we meet in MVF 26.

Fridays 10-11.45 in MVF 32 week 1 and 2 and MVF 31 week 3-7.
**Literature:**

Computational
Differential Equations (CDE), Studentlitteratur/Cambridge, 1996.

** Software (for ODE project):**

Computer Sessions (session E8)

Start doing this session as a preparation for your ODE project.

**Software (for PDE project):**

Puffin

**An article on:**

Adaptive methods for parabolic problems

**An article on:**

Adaptive methods for Computational Fluid Dynamics (CFD)

**A small note on:**

adaptive algorithms

**Content:**

- A posteriori error analysis for ordinary differential equations.
- Stability estimates
- Duality and adjoint operators.
- A priori error analysis for partial differential equations
- A posteriori error analysis for partial differential equations
- Adaptive finite element methods
- Stabilization methods like streamline-diffusion.
- FEM for various types of problems like wave propagation, incompressible Navier-Stoke equations,

elliptic eigenvalue problems, convection-diffusion-reaction problems, Schrödinger equations, biharmonic equation.

**Examination:**

1. Completed ODE project (see below).

2. Completed PDE project (see below).

**Projects:**

ODE-Project Adaptive ode-solver

PDE project See list of PDE projects

Last modified: Monday 25 October 2010