Geometric multigrid method for solving Poisson's equation on octree grids with irregular boundaries

@article{Teunissen2022GeometricMM,
  title={Geometric multigrid method for solving Poisson's equation on octree grids with irregular boundaries},
  author={Jannis Teunissen and Francesca Schiavello},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.09411}
}
. A method is presented to include irregular domain boundaries in a geometric multi- grid solver. Dirichlet boundary conditions can be imposed on an irregular boundary defined by a level set function. Our implementation employs quadtree/octree grids with adaptive refinement, a cell-centered discretization and pointwise smoothing. Boundary locations are determined at a sub-grid resolution by performing line searches. For grid blocks near the interface, custom operator stencils are stored that take… 

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