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arXiv · 2609.40006

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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Najwa Alshehri. 2026-09-30. A Reduced Coupling-Space Multigrid Schur Preconditioner for Fictitious-Domain Interface Problems. https://arxiv.org/abs/2609.40006

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