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20162023
most citedAccelerating Materials Development via Automation, Machine Learning, and High-Performance Computing

348 citations

Showing math.NAShow all

7 papers · 1 filter

math.NA2021★ 15 cited

Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow

M. S. Joshaghani, B. Riviere, M. Sekachev

This paper proposes a fully implicit numerical scheme for immiscible incompressible two-phase flow in porous media taking into account gravity, capillary effects, and heterogeneity…

math.NA2021★ 9 cited

Smooth Implicit Hybrid Upwinding for Compositional Multiphase Flow in Porous Media

Sebastian B. M. Bosma, Francois P. Hamon, Brad T. Mallison +1

In subsurface multiphase flow simulations, poor nonlinear solver performance is a significant runtime sink. The system of fully implicit mass balance equations is highly nonlinear…

math.NA2021★ 2 cited

Multigrid reduction preconditioning framework for coupled processes in porous and fractured media

Quan M. Bui, Francois P. Hamon, Nicola Castelletto +3

Many subsurface engineering applications involve tight-coupling between fluid flow, solid deformation, fracturing, and similar processes. To better understand the complex interplay…

math.NA2020★ 26 cited

Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics

Andrea Borio, François Hamon, Nicola Castelletto +2

We present a hybrid mimetic finite-difference and virtual element formulation for coupled single-phase poromechanics on unstructured meshes. The key advantage of the scheme is that…

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.NA2019★ 37 cited

L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation

Matthias Taus, Leonardo Zepeda-Núñez, Russell J Hewett +1

We present the first fast solver for the high-frequency Helmholtz equation that scales optimally in parallel, for a single right-hand side. The L-sweeps approach achieves this scal…