3 papers
math.NA2026
Metagraph-Based Domain-Decomposed Galerkin Reduced-Order Model
Kyohei Shintate, Naoki Morita, Shigeki Kaneko +2
This study proposes a metagraph-based domain-decomposed Galerkin reduced-order model (MBDD-G-ROM) for distributed-memory parallel reduced-order analysis of large-scale problems. Th…
math.NA2026
Domain-decomposed parallelization of B-spline based s-version of the finite element method via generalized graph abstraction
Nozomi Magome, Naoki Morita, Shigeki Kaneko +1
The s-version of the finite element method (SFEM) enables locally high-resolution analysis by superimposing independently defined finite element meshes. However, domain-decomposed…
math.NA2023
Higher-continuity s-version of finite element method with B-spline functions
Nozomi Magome, Naoki Morita, Shigeki Kaneko +1
This paper proposes a strategy to solve the problems of the conventional s-version of finite element method (SFEM) fundamentally. Because SFEM can reasonably model an analytical do…