After successful completion of the course, students are able to...

• explain how to derive and mathematically prove a-posteriori error estimates for elliptic PDEs
• formulate the idea of adaptive mesh-refinement
• state convergence and optimality of adaptive algorithms
• write a Bachelor or Master thesis in this field

• Introduction to the finite element method (FEM)
• a-posteriori error estimation for elliptic partial differential equations
• local mesh-refinement by newest vertex bisection
• adaptive algorithms for driving an automatic local mesh-refinement
• convergence of adaptive algorithms
• optimal convergence rates and optimal computational complexity

Prsentation and proof of the mathematical results as well as of some numerical experiments

oral examination