A Hybrid Multigrid Algorithm for Poisson ’ s equation using an Adaptive , Fourth Order Treatment of Cut Cells

@inproceedings{Devendran2015AHM,
  title={A Hybrid Multigrid Algorithm for Poisson ’ s equation using an Adaptive , Fourth Order Treatment of Cut Cells},
  author={Dharshi Devendran and Daniel T. Graves and Hans Johansen},
  year={2015}
}
We present a hybrid geometric-algebraic multigrid approach for solving Poisson’s equation on domains with complex geometries. The discretization uses a novel fourth-order finite volume cut cell representation to discretize the Laplacian operator on a Cartesian mesh. This representation is based on a weighted least-squares fit to a cell-averaged… CONTINUE READING