Multiscale Coupled Models for Complex Media: From Analysis to Simulation in Geophysics and Medicine

  • Malgorzata Peszynska

    Oregon State University, Corvallis, USA
  • Iuliu Sorin Pop

    Hasselt University, Diepenbeek, Belgium
  • Barbara Wohlmuth

    Technische Universität München, Garching bei München, Germany
  • Zohar Yosibash

    Tel Aviv University, Israel

Abstract

Many real-life applications require mathematical models at multiple scales, defined in domains with complex structures, some of which having time dependent boundaries. Mathematical models of this type are encountered in seemingly disparate areas e.g., flow and deformation in the subsurface or beneath the ocean floor, and in processes of clinical relevance. While the areas are different, the structure of the models and the challenges are shared: the analysis and simulation must account for the evolution of the domain due to the many coupled processes in the multi-scale context. The key theme and focus of the workshop were novel ideas in the mathematical modeling, analysis, and numerical simulation, which are cross-cutting between the two application areas mentioned above. The talks have covered the mathematical treatment of such problems, as well as the development of efficent numerical discretization schemes and of solvers for large-scale problems.

Cite this article

Malgorzata Peszynska, Iuliu Sorin Pop, Barbara Wohlmuth, Zohar Yosibash, Multiscale Coupled Models for Complex Media: From Analysis to Simulation in Geophysics and Medicine. Oberwolfach Rep. 19 (2022), no. 1, pp. 171–229

DOI 10.4171/OWR/2022/4