Overlapping subspaces and singular systems with application to Isogeometric Analysis
<|reference_start|>Overlapping subspaces and singular systems with application to Isogeometric Analysis: We propose a framework for solving partial differential equations (PDEs) motivated by isogeometric analysis (IGA) and local tensor-product splines. Instead of using a global basis for the solution space we use as generators the disjoint union of subspace bases. This leads to a potentially singular linear system, which is handled by a Krylov linear solver. The framework may offer computational advantages in dealing with spaces like Hierarchical B-splines, T-splines, and LR-splines.<|reference_end|>
@article{bressan2024overlapping,
    title={Overlapping subspaces and singular systems with application to
  Isogeometric Analysis},
    author={Andrea Bressan and Massimiliano Martinelli and Giancarlo Sangalli},
    journal={arXiv preprint arXiv:2408.17273},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.17273},
    primaryClass={math.NA cs.NA}
}