2023年8月28日（月）13：30～16：40
場所 武蔵野大学有明キャンパス5号館401教室、ハイブリッド開催
講演者
Takeshi Takaishi (Musashino Univ.)
Atsushi Suzuki (Osaka Univ. / RIKEN)
Pierre Jolivet (CNRS)
講演題目 FreeFEM - now and in the future
講演概要 13:30 - 14:00 Takeshi Takaishi (Musashino Univ.) :
“Introducing some simple problems to solve with FreeFEM”
FreeFEM is a popular 2D and 3D partial differential equation (PDE) solver used by thousands of researchers worldwide. This makes it easy to implement your own mathematical models using simple scripts. We will see its capabilities through some examples.
14:10 - 14:55 Atsushi Suzuki (Osaka University / RIKEN):
“Variational problem with constraint and linear solvers for indefinite problem”
Variational setting is the mathematical foundation of the finite element methods for several industrial problems. It is sometimes necessary to deal with problem with constraint, e.g., in fluid problem, Navier-Stokes equations contain incompressibility constraint. The discretized equations are expressed by a KKT system whose coefficient matrix is indefinite. We will view robustness and efficiency of the GMRES method with preconditioner based on LDU-factorization with proper pivoting strategy to avoid instability from the indefiniteness.This methodology is also applicable to inequality constraint problem appeared in a shape optimization problem.
15:10 - 16:40 Pierre Jolivet (CNRS) :
“Deep dive into FreeFEM ecosystem”
One of the strengths of FreeFEM is its ability to interact seamlessly with many other scientific libraries, such as MPI for parallel computing, PETSc for (mostly) linear algebra, SLEPc for eigenvalue computation, or HPDDM for domain decomposition methods. In this presentation, I will highlight some design decisions made over the years in order to enable researchers and developers to use FreeFEM as a flexible tool to prototype or implement algorithms, preconditioners,or coupled solvers in different applied fields such as computational fluid dynamics, radiative transfer, solid mechanics.
主催 武蔵野大学 数理工学センター（MCME）
コーディネーター 高石 武史（武蔵野大学工学部数理工学科 教授）