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We describe a finite-volume method for solving the Poisson equation onoct-tree adaptive meshes using direct solvers for individual mesh blocks. Themethod is a modified version of the method presented by Huang and Greengard(2000), which works with finite-difference meshes and does not allow for sharedboundaries between refined patches. Our algorithm is implemented within theFLASH code framework and makes use of the PARAMESH library, permittingefficient use of parallel computers. We describe the algorithm and present testresults that demonstrate its accuracy.

A Direct Multigrid Poisson Solver for Oct-Tree Adaptive Meshes