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A Penalty-Regularization-Operator Splitting Method for the Numerical Solution of a Scalar Eikonal Equation

Chinese annals of mathematics. Serie B, 2015-09, Vol.36 (5), p.659-688

2015

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On the Numerical Solution of Some Eikonal Equations： An Elliptic Solver Approach

Chinese annals of mathematics. Serie B, 2015-09, Vol.36 (5), p.689-702

2015

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Error assessment of an adaptive finite elements—neural networks method for an elliptic parametric PDE

Computer methods in applied mechanics and engineering, 2024-03, Vol.421, p.116784, Article 116784

2024

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Numerical solution of a variational problem arising in stress analysis: The vector case

Discrete and continuous dynamical systems. Series A, 2010-08, Vol.27 (4), p.1447-1472

2010

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An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant

SIAM journal on scientific computing, 2018-01, Vol.40 (1), p.A52-A80

2018

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A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

Journal of computational physics, 2024-05, Vol.504, p.112846, Article 112846

2024

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A splitting method for the numerical simulation of free surface flows with sediment deposition and resuspension

International journal for numerical methods in fluids, 2022-10, Vol.94 (10), p.1724-1743

2022

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Least-squares/relaxation method for the numerical solution of a 2D Pucci’s equation

Methods and applications of analysis, 2019-06, Vol.26 (2), p.113-132

Caboussat, Alexandre

2019

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A least-squares method for the numerical solution of a 2D optimal transportation problem

Annals of mathematical sciences and applications, 2023, Vol.8 (3), p.547-563

2023

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REGULARIZATION METHODS FOR THE NUMERICAL SOLUTION OF THE DIVERGENCE EQUATION △. u = f

Journal of computational mathematics, 2012-07, Vol.30 (4), p.354-380

2012

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An anisotropic adaptive method for the numerical approximation of orthogonal maps

Journal of computational and applied mathematics, 2022-06, Vol.407, p.113997, Article 113997

2022

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An adaptive least-squares algorithm for the elliptic Monge–Ampère equation

Comptes rendus. Mecanique, 2024-04, Vol.351 (S1), p.277-292

2024

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A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation

Journal of scientific computing, 2022-10, Vol.93 (1), p.15-15, Article 15

2022

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A Least-Squares/Relaxation Method for the Numerical Solution of the Three-Dimensional Elliptic Monge–Ampère Equation

Journal of scientific computing, 2018-10, Vol.77 (1), p.53-78

2018

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A numerical method for the simulation of free surface flows with surface tension

Computers & fluids, 2006-12, Vol.35 (10), p.1205-1216

Caboussat, Alexandre

2006

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Numerical Approximation of Orthogonal Maps

SIAM journal on scientific computing, 2019-01, Vol.41 (6), p.B1341-B1367

2019

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Numerical simulation of temperature-driven free surface flows, with application to laser melting and polishing

Journal of Computational Physics: X, 2023-11, Vol.17, p.100127, Article 100127

2023

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Primal-dual interior-point method for thermodynamic gas-particle partitioning

Computational optimization and applications, 2011-04, Vol.48 (3), p.717-745

Caboussat, Alexandre

2011

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A Second Order Time Integration Method for the Approximation of a Parabolic 2D Monge-Ampère Equation

Numerical Mathematics and Advanced Applications ENUMATH 2019, 2021, Vol.139, p.225-234

2021

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A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows

Computers & fluids, 2018-08, Vol.172, p.384-396

2018

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A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two

ESAIM. Control, optimisation and calculus of variations, 2013-07, Vol.19 (3), p.780-810

2013

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Numerical simulation of two-phase free surface flows

Archives of computational methods in engineering, 2005-06, Vol.12 (2), p.165-224

Caboussat, Alexandre

2005

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Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision

Mathematical and computer modelling, 2012-02, Vol.55 (3), p.490-504

2012

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Mass conservative, positive definite integrator for atmospheric chemical dynamics

Atmospheric environment (1994), 2009-12, Vol.43 (40), p.6287-6295

2009

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Numerical Methods for the Vector-Valued Solutions of Non-smooth Eigenvalue Problems

Journal of scientific computing, 2010-10, Vol.45 (1-3), p.64-89

2010

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A Penalty-Regularization-Operator Splitting Method for the Numerical Solution of a Scalar Eikonal Equation

On the Numerical Solution of Some Eikonal Equations： An Elliptic Solver Approach

Error assessment of an adaptive finite elements—neural networks method for an elliptic parametric PDE

Numerical solution of a variational problem arising in stress analysis: The vector case

An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

A splitting method for the numerical simulation of free surface flows with sediment deposition and resuspension

Least-squares/relaxation method for the numerical solution of a 2D Pucci’s equation

A least-squares method for the numerical solution of a 2D optimal transportation problem

REGULARIZATION METHODS FOR THE NUMERICAL SOLUTION OF THE DIVERGENCE EQUATION △. u = f

An anisotropic adaptive method for the numerical approximation of orthogonal maps

An adaptive least-squares algorithm for the elliptic Monge–Ampère equation

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation

A Least-Squares/Relaxation Method for the Numerical Solution of the Three-Dimensional Elliptic Monge–Ampère Equation

A numerical method for the simulation of free surface flows with surface tension

Numerical Approximation of Orthogonal Maps

Numerical simulation of temperature-driven free surface flows, with application to laser melting and polishing

Primal-dual interior-point method for thermodynamic gas-particle partitioning

A Second Order Time Integration Method for the Approximation of a Parabolic 2D Monge-Ampère Equation

A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows

A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two

Numerical simulation of two-phase free surface flows

Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision

Mass conservative, positive definite integrator for atmospheric chemical dynamics

Numerical Methods for the Vector-Valued Solutions of Non-smooth Eigenvalue Problems

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