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08/18/2023
Performant low-order matrix-free finite element kernels on GPU architectures
Numerical methods such as the Finite Element Method (FEM) have been succ...
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07/31/2023
Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media
A full approximation scheme (FAS) nonlinear multigrid solver for two-pha...
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09/15/2021
An Aggregation-based Nonlinear Multigrid Solver for Two-phase Flow and Transport in Porous Media
A nonlinear multigrid solver for two-phase flow and transport in a mixed...
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01/27/2021
Multigrid reduction preconditioning framework for coupled processes in porous and fractured media
Many subsurface engineering applications involve tight-coupling between ...
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10/29/2020
Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics
We present a hybrid mimetic finite-difference and virtual element formul...
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07/29/2020
Enhanced Relaxed Physical Factorization preconditioner for coupled poromechanics
In this work, we focus on the relaxed physical factorization (RPF) preco...
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07/09/2020
Simulation of coupled multiphase flow and geomechanics in porous media with embedded discrete fractures
In fractured natural formations, the equations governing fluid flow and ...
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05/04/2020
Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems
This work develops a nonlinear multigrid method for diffusion problems d...
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02/22/2020
Efficient solvers for hybridized three-field mixed finite element coupled poromechanics
We consider a mixed hybrid finite element formulation for coupled porome...
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01/29/2020
Algebraic stabilization of a Q_1-P_0 Lagrangian formulation for frictional contact mechanics with hydraulically active fractures
Accurate numerical simulation of coupled fracture/fault deformation and ...
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12/14/2019
Enhanced multiscale restriction-smoothed basis (MsRSB) preconditioning with applications to porous media flow and geomechanics
A novel multiscale method for non M-matrices using Multiscale Restricted...
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12/09/2019