RIKEN Center for Computational Science (R-CCS) will hold a hybrid school in January 2027 titled "RIKEN International HPC Spring School 2027 ~ Toward Society 5.0~ Parallel computation of ill-conditioned sparse matrix in finite element analysis".

The program consists of 3 days in hybrid with on-site and online.

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 stational solution of incompressible flow problem, 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 incompressible flow modeled by the Navier-Stokes equations

Date	Tue, January 19 - Thu, January 21, 2027
Venue	Kobe (Eligibility is limited to applicants who reside within a commutable area) /online
Qualifications	Graduate students, etc. who meet one of the following criteria: Students who 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.
Maximum number of participants	Approx.40
Details	For more details and applications. RIKEN International HPC Spring School 2027 - Toward Society 5.0 - (January 19-21, 2027, Kobe/Online) | RIKEN Center for Computational Science RIKEN Website
Due date	13:00, Wed, October 28, 2026 (JST)
Organizer	RIKEN Center for Computational Science (R-CCS)
Collaborating Institutions	Information Technology Center, The University of Tokyo/Academic Center for Computing and Media Studies, Kyoto University/D3 Center, Osaka University/Education Center on Computational Science and Engineering, Kobe University/Graduate School of Information Science, University of Hyogo/Center for Cooperative Work on Data science and Computational science, University of Hyogo/Foundation for Computational Science (FOCUS)/High Performance Computing Infrastructure Consortium/Research Organization for Information Science and Technology (RIST)
Inquiries	RIKEN Computational Science Promotion Division Email: renkei_hrd@ml.riken.jp