scope |
|
Partial differential equations play a fundamental role in many applications in physics and mechanics. There, PDEs usually have changing boundary conditions or nonsmooth coefficients and have to be solved on nonsmooth domains. Furthermore, small inclusions or thin layers have to be taken into account. We aim for a better understanding of the influence of these effects on the overall behavior of the solutions. This knowledge is relevant, in particular, for the construction of efficient numerical algorithms for solving elliptic PDEs. The workshop focuses on the following topics:
• | regularity for elliptic PDEs in nonsmooth domains or with nonsmooth coefficients, |
• | asymptotic expansion methods and energetic methods in mechanics and physics (e.g. fracture mechanics, thin layers, small defects, homogenization, singular perturbations), |
• | computational issues in this field. |
|