Uncertainty quantification for PDEs on hypergraphs
Description of the granted funding
3D printing is becoming ubiquitous in engineering and science. One of the main reasons for such success is its ability to create small structures not producible in any other known way. Typical examples include lightweight but strong materials (resembling e.g. honeycombs) and artificial tissue. Such materials need to have specific material properties, while the production is subject to uncertainties appearing in the printing process. This project grows out of the need for mathematical algorithms to find optimal structures that retain their outstanding properties even in the presence of small errors. For lightweight materials that are used to build lighter cars, planes and rockets that save fuel, robustness is key. Similarly, 3D-printed artificial tissue has to mimic the real human tissue of fire-victims to a high degree. The proposed methodology reduces the cost of an optimization-based product design cycle by orders of magnitude compared to the most efficient existing approaches.
Show moreStarting year
2023
End year
2027
Granted funding
Funder
Research Council of Finland
Funding instrument
Academy research fellows
Other information
Funding decision number
354489
Fields of science
Mathematics
Research fields
Sovellettu matematiikka