Parallel computation of ill-conditioned sparse matrix in finite element analysis (This program will be provided in English.)

The program consists of 3 days in hybrid with on-site and online. The on-site attending is only for those who can commute to R-CCS without accommodation.

The lecture is focusing on parallel linear solver for finite element analysis. Finite element method is a strong tool for various type of industrial problems by utilizing consolidated knowledge of mathematics and engineering. To obtain finite element solution, at the final stage, linear system with large sparse matrix needs to be solved and the condition number of such matrix becomes very large due to spatial jump of physical parameters and to complex coupling of multi-physics.

Participants will gain knowledge to solve linear and nonlinear systems with large sparse matrices on parallel computers. Foundation of linear solver, such as Krylov subspace methods with preconditioner based on domain decomposition, will be explained.

Hands-on session in each day will treat parallel programing using MPI, OpenMP, numerical libraries, METIS and PETSc.

At the end of the lecture, a domain specific language for finite element simulation, FreeFEM is briefly introduced with an example of nonlinear elasticity problem with large deformation, which will be solved by the Newton-Krylov-Schwarz method.

Day 1 : sparse matrix and Krylov subspace method, GMRES and CG Day 2 : distribution of sparse matrix with overlapping domain and additive Schwarz preconditioner Day 3 : introduction of domain specific language FreeFEM to generate nonlinear equation with sparse matrix for hyper elasticity problem with Green-St Venant strain tensor

Date	Monday, March 13 - Wednesday, March 15, 2023
Qualifications	Graduate students,etc.who meet one of the following criteria: Students are enrolled in a Ph.D.program, post-doctoral scientists and early career scientists affiliated with universities or research institutions. Scientists and engineers affiliated with private companies -Capacity
Venue	Hybrid (Kobe or online)
Organizer	RIKEN Center for Computational Science (R-CCS)
Expenses	Commuting expenses provided (for on-site participants).
Details	For more details and applications, see the school website below. RIKEN International HPC Spring School 2023 - Toward Society 5.0 -
Capacity	Approx.40
Application deadline	Noon, January 20, 2023 (JST) *The application deadline has been extended.
Inquiries	RIKEN Computational Science Promotion Office Email: renkei_hrd [at] ml.riken.jp