Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method

Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids

(2020) Li Luo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Nonlinearly preconditioned constraint-preserving algorithms for subsurface three-phase flow with capillarity

(2020) Haijian Yang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state

(2020) Rui Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media

(2019) Huangxin Chen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis

(2019) Li Luo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An adaptive nonlinear elimination preconditioned inexact Newton algorithm for highly local nonlinear multicomponent PDE systems

(2018) Haijian Yang et al.   APPLIED NUMERICAL MATHEMATICS

A Note on Adaptive Nonlinear Preconditioning Techniques

(2018) Lulu Liu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Nonlinearly preconditioned semismooth Newton methods for variational inequality solution of two-phase flow in porous media

(2017) Haijian Yang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Convergence Analysis for the Multiplicative Schwarz Preconditioned Inexact Newton Algorithm

(2016) Lulu Liu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Active-Set Reduced-Space Methods with Nonlinear Elimination for Two-Phase Flow Problems in Porous Media

(2016) Haijian Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Nonlinear Preconditioning Techniques for Full-Space Lagrange--Newton Solution of PDE-Constrained Optimization Problems

(2016) Haijian Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations

(2016) Jizu Huang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation

(2015) Feng-Nan Hwang et al.   COMPUTERS & FLUIDS

A family of constrained pressure residual preconditioners for parallel reservoir simulations

(2015) Hui Liu et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Field-Split Preconditioned Inexact Newton Algorithms

(2015) Lulu Liu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure

(2014) Peter Bastian   COMPUTATIONAL GEOSCIENCES

Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two-phase flow in porous media

(2014) Jisheng Kou et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Preconditioning for Efficiently Applying Algebraic Multigrid in Fully Implicit Reservoir Simulations

(2014) Sebastian Gries et al.   SPE JOURNAL

Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity

(2011) Xiao-Chuan Cai et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures

(2010) A. Ern et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Numerical modeling of two-phase flow in heterogeneous permeable media with different capillarity pressures

(2007) Hussein Hoteit et al.   ADVANCES IN WATER RESOURCES