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math.NA2021
An Aggregation-based Nonlinear Multigrid Solver for Two-phase Flow and Transport in Porous Media
Chak Shing Lee, François P. Hamon, Nicola Castelletto +2
A nonlinear multigrid solver for two-phase flow and transport in a mixed fractional-flow velocity-pressure-saturation formulation is proposed. The solver, which is under the framew…
math.NA2020
Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems
Chak Shing Lee, François Hamon, Nicola Castelletto +2
This work develops a nonlinear multigrid method for diffusion problems discretized by cell-centered finite volume methods on general unstructured grids. The multigrid hierarchy is…
math.NA2020
Multilevel spectral coarsening for graph Laplacian problems with application to reservoir simulation
Andrew T. Barker, Stephan V. Gelever, Chak S. Lee +2
We extend previously developed two-level coarsening procedures for graph Laplacian problems written in a mixed saddle point form to the fully recursive multilevel case. The resulti…