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PreprintCC BY 4.0arXiv

A Reduced Coupling-Space Multigrid Schur Preconditioner for Fictitious-Domain Interface Problems

  • Najwa Alshehri
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Abstract

We study a reduced multigrid Schur preconditioner for the fictitious-domain method with distributed Lagrange multipliers applied to elliptic interface problems. The method replaces the costly background solve by a multigrid approximation and treats the resulting correction only in the multiplier coupling space through a Woodbury formula. Numerical experiments show a marked improvement over the baseline preconditioner and consistently rapid convergence under mesh refinement and coefficient contrast.

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Cite

BibTeXRIS
BibTeX
@misc{alshehri2026reduced,
  title = {{A Reduced Coupling-Space Multigrid Schur Preconditioner for Fictitious-Domain Interface Problems}},
  author = {Najwa Alshehri},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.40006},
  eprint = {2609.40006},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.40006},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Reduced Coupling-Space Multigrid Schur Preconditioner for Fictitious-Domain Interface Problems
AU  - Najwa Alshehri
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.40006
UR  - https://arxiv.org/abs/2609.40006
AB  - We study a reduced multigrid Schur preconditioner for the fictitious-domain method with distributed Lagrange multipliers applied to elliptic interface problems. The method replaces the costly background solve by a multigrid approximation and treats the resulting correction only in the multiplier coupling space through a Woodbury formula. Numerical experiments show a marked improvement over the baseline preconditioner and consistently rapid convergence under mesh refinement and coefficient contrast.
ER  -