Mittwoch, 15.07.2015: Numerical Schemes for Materials with Fine Scale Structure
Noel Walkington (Carnegie Mellon University)
Many material models consist of the momentum equation coupled to an
equation modeling the structure of the material. Examples include liquid crystals, polymers, and crystalline solids undergoing plastic deformation. These systems posses a Hamiltonian structure which reveals the subtle structure of the terms coupling of the equations, and a delicate balance between inertia, transport, and dissipation. This talk will focus on the development and analysis of numerical
schemes which inherit the Hamiltonian structure, and hence stability, of the continuous problem. Examples of schemes to approximate the Ericksen Leslie equations, Oldroyd-B fluids, and problems in plasticity, will be presented it illustrate the mathematical and
numerical properties of this class of materials.
| Uhrzeit: |
14:15 |
| Ort: |
H2C14 |
| Gruppe: |
Oberseminar Numerik |
| Einladender: |
Lubich, Prohl |
