Combined High-Dimensional and Reduced-Order Modeling Based on an Iterative Domain Decomposition Method

Abstract

A method is developed for structural analysis in which parts of an analysis domain are modeled by reduced-order models (ROMs) and the remaining part is modeled by a high-dimensional model (HDM). The multiple ROMs and HDM are combined based on an iterative domain decomposition method (DDM) with an arbitrary number of non-overlapping subdomains. A diagonal preconditioner is derived for the iterative DDM. The method is implemented based on a framework of the existing DDM-based analysis code. The ROM is implemented on GPU. Snapshot generation methods for the ROM are also proposed. Static structural analyses of nuclear power plant models are conducted using the combined multiple ROMs and HDM with multiple-subdomains model. The analyses are performed in parallel by the hybrid MPI-CUDA implementation. The convergence property of the iterative DDM is improved by the preconditioner.

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BibTeX RIS

BibTeX

@misc{saito2026combined,
  title = {{Combined High-Dimensional and Reduced-Order Modeling Based on an Iterative Domain Decomposition Method}},
  author = {Taiji Saito and Tomoshi Miyamura and Yasunori Yusa},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.25567},
  eprint = {2608.25567},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.25567},
  note = {CC BY-NC-ND 4.0},
}

RIS

TY  - UNPB
TI  - Combined High-Dimensional and Reduced-Order Modeling Based on an Iterative Domain Decomposition Method
AU  - Taiji Saito
AU  - Tomoshi Miyamura
AU  - Yasunori Yusa
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2608.25567
UR  - https://arxiv.org/abs/2608.25567
AB  - A method is developed for structural analysis in which parts of an analysis domain are modeled by reduced-order models (ROMs) and the remaining part is modeled by a high-dimensional model (HDM). The multiple ROMs and HDM are combined based on an iterative domain decomposition method (DDM) with an arbitrary number of non-overlapping subdomains. A diagonal preconditioner is derived for the iterative DDM. The method is implemented based on a framework of the existing DDM-based analysis code. The ROM is implemented on GPU. Snapshot generation methods for the ROM are also proposed. Static structural analyses of nuclear power plant models are conducted using the combined multiple ROMs and HDM with multiple-subdomains model. The analyses are performed in parallel by the hybrid MPI-CUDA implementation. The convergence property of the iterative DDM is improved by the preconditioner.
ER  -

Abstract

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