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20142024
most citedNonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems

6 citations · 6 across the 6 of their papers we have counts for

collaborators

7 papers

math.NA2024

Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels

Hillary R. Fairbanks, Delyan Z. Kalchev, Chak Shing Lee +1

We study an element agglomeration coarsening strategy that requires data redistribution at coarse levels when the number of coarse elements becomes smaller than the used computatio…

math.NA2023

Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media

Chak Shing Lee, François P. Hamon, Nicola Castelletto +2

A full approximation scheme (FAS) nonlinear multigrid solver for two-phase flow and transport problems driven by wells with multiple perforations is developed. It is an extension t…

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★ 6 cited

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…

math.NA2018

Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning

Veselin A. Dobrev, Tzanio V. Kolev, Chak S. Lee +2

We propose an unified algebraic approach for static condensation and hybridization, two popular techniques in finite element discretizations. The algebraic approach is supported by…