Multiscale coupled models for complex media: from analysis to simulation in geophysics and medicine. Abstracts from the workshop held January 23--29, 2022
type: Item
instance of: scholarly article
title: Multiscale coupled models for complex media: from analysis to simulation in geophysics and medicine. Abstracts from the workshop held January 23--29, 2022
zbMATH Open document ID: 1506.00091
DOI: 10.4171/OWR/2022/4
published in: Oberwolfach Reports
publication date: 2023-03-17T00:00:00Z
review text: Summary: 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 efficient numerical discretization schemes and of solvers for large-scale problems.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 74-06
Mathematics Subject Classification ID: 76-06
Mathematics Subject Classification ID: 65-06
Mathematics Subject Classification ID: 86-06
Mathematics Subject Classification ID: 92-06
Mathematics Subject Classification ID: 35Qxx
Mathematics Subject Classification ID: 74-10
Mathematics Subject Classification ID: 76-10
Mathematics Subject Classification ID: 86-10
Mathematics Subject Classification ID: 92-10
Mathematics Subject Classification ID: 00A71
zbMATH DE Number: 7664841
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/owr/2022/4
OpenAlex ID: W4323826588
description: scientific article