Title
Řešení velmi náročných kontaktních úloh s dalšími nelinearitami moderními matematickými metodami
Code
GA101/08/0574
Summary
Success of new algorithms, suitable for efficient use of modern computers with the parallel architectures, substantially depends on properties of the mathematical methods they stem from. The objective of this project is development and application of such algorithms appropriate for solution to multiple non-linear problems of solid mechanics, while contact between solid bodies, large displacements, finite rotations and material models with energy dissipation are considered as non-linear effects. Our approach is based on the FETI domain
decomposition method and its variants. Numerical analysis of this method revealed that it is suitable for application to high-performance computers because it exhibits both parallel and numerical scalability. Development of the algorithms and their applications will be the result of co-operation between teams of
mathematicians and mechanicians. Contribution to theory of the FETI method, practically exploitable computer code implemented into finite element package PMD, and corresponding publications will be the outcome of the project.
Start year
2008
End year
2012
Provider
Grantová agentura ČR
Category
Obecná forma
Type
Standardní projekty
Solver
Information system of research, development and innovation (in Czech)