Adaptation of scalable FETI based algorithms for the solution of large scale 3D elasticity engineering problems with large number of bodies in contact
Project goals
Our department with the head Prof. Dostal has longterm sucessful research in development of efficient FETI based algorithms for the solution of contact problems and unique theoretical and experimental results. However, the theoretical results concerningalgorithms scalabilities were tested only on the solution of model problems. The aim of this proposal is their adaptation for the solution of large scale industrial problems as the computation of deformations, strains and temperatures of ball-bearing's components under nonsymmetric loading including the temperatures. This problem is very complicated because of large number of bodies in mutual contact and the total size of contact interface. There are many other difficulties as the computation of matrixof rigid body modes, multiplication by pseudoinverse etc. which require new approaches. To improve the rate of convergence it is necessary to find optimal setting of problem dependent parameters of algorithms QPMPGP and SMALBE and to review various typesof preconditioning techniques as the usage of corners in FETI-DP on the contact interface enabling the better application of standard linear preconditioners also for nonlinear problems. I am going to use Comsol to generate the geometry, FEM structure and Matlab to debug. The aim of this proposal is also parallel implementation in C++ and PETSc and systematical evidence of scalabilities.
Keywords
kontaktní úlohametody rozložení oblastiFETIškálovatelné algoritmyúloha kvadratického program
Public support
Provider
Czech Science Foundation
Programme
Post-graduate (doctorate) grants
Call for proposals
Postdoktorandské granty 9 (SGA02009GA1PD)
Main participants
—
Contest type
VS - Public tender
Contract ID
101/09/P601
Alternative language
Project name in Czech
Adaptace škálovatelných algoritmů FETI typu pro řešení rozsáhlých inženýrských úloh 3D elasticity s vysokým počtem těles ve vzájemném kontaktu
Annotation in Czech
Analýza a implementace výpočtu pseudoinverze, matice tuhých pohybů, 3D mortarové diskretizace, nalezení optimálního nastavení parametrů algoritmů, vývoj FETI-DP předpodmínění s rožními uzly na kontaktu, paralelní implementace, ověření škálovatelnosti FETI metod na inženýrských kontaktních úlohách.
Scientific branches
R&D category
ZV - Basic research
CEP classification - main branch
JQ - Machinery and tools
CEP - secondary branch
JC - Computer hardware and software
CEP - another secondary branch
BA - General mathematics
10101 - Pure mathematics
20206 - Computer hardware and architecture
20302 - Applied mechanics
20705 - Remote sensing
20706 - Marine engineering, sea vessels
20707 - Ocean engineering
Completed project evaluation
Provider evaluation
U - Uspěl podle zadání (s publikovanými či patentovanými výsledky atd.)
Project results evaluation
The project gone according to plan both in terms of expertise and in terms of disbursement of funds.
Solution timeline
Realization period - beginning
Jan 1, 2009
Realization period - end
Dec 31, 2011
Project status
U - Finished project
Latest support payment
Apr 16, 2011
Data delivery to CEP
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data delivery code
CEP12-GA0-GP-U/03:3
Data delivery date
May 2, 2016
Finance
Total approved costs
459 thou. CZK
Public financial support
459 thou. CZK
Other public sources
0 thou. CZK
Non public and foreign sources
0 thou. CZK
Basic information
Recognised costs
459 CZK thou.
Public support
459 CZK thou.
100%
Provider
Czech Science Foundation
CEP
JQ - Machinery and tools
Solution period
01. 01. 2009 - 31. 12. 2011