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A Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear Defect Correction Strategy for the Numerical Solution of Steady State Diffusion Problems in Heterogeneous and Anisotropic Media Satisfying the Discrete Maximum Principle

Journal of scientific computing, 2022-11, Vol.93 (2), p.42, Article 42

2022

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Numerical simulation of 1-D oil and water displacements in petroleum reservoirs using the correction procedure via reconstruction (CPR) method

Computational geosciences, 2020-02, Vol.24 (1), p.1-15

2020

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A node-centred finite volume formulation for the solution of two-phase flows in non-homogeneous porous media

International journal for numerical methods in fluids, 2007-03, Vol.53 (8), p.1197-1219

2007

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Numerical simulation of 1-D oil and water displacements in petroleum reservoirs using the spectral finite volume method

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017-07, Vol.39 (7), p.2687-2700

2017

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An iterative modified multiscale control volume method for the simulation of highly heterogeneous porous media flow

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2018-02, Vol.40 (2), p.1-17, Article 71

2018

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An empirical correlation to estimate thermal properties of the breast and of the breast nodule using thermographic images and optimization techniques

International journal of heat and mass transfer, 2020-03, Vol.149, p.119215, Article 119215

2020

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A review and comparative study of upwind biased schemes for compressible flow computation. Part III: Multidimensional extension on unstructured grids

Archives of computational methods in engineering, 2002-01, Vol.9 (3), p.207-256

2002

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Structural analysis and optimization in the framework of reduced-basis method

Structural and multidisciplinary optimization, 2010, Vol.40 (1-6), p.177-199

2010

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A very high-order flux reconstruction approach coupled to the MPFA-QL finite volume method for the numerical simulation of oil-water flows in 2D petroleum reservoirs

Applied Mathematical Modelling, 2022-06, Vol.106, p.799-821

2022

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Estimation of breast tumor thermal properties using infrared images

Signal processing, 2013-10, Vol.93 (10), p.2851-2863

2013

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Numerical simulation of oil-water displacements in naturally fractured reservoirs using a hybrid grid MPFA-streamline (SLS-HyG) formulation

Computers and geotechnics, 2022-11, Vol.151, p.104963, Article 104963

2022

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A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil–water displacements in heterogeneous and anisotropic petroleum reservoirs

Computers & fluids, 2016-03, Vol.127, p.1-16

2016

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A review and comparative study of upwind biased schemes for compressible flow computation. Part I: 1—D first—order schemes

Archives of computational methods in engineering, 2000-01, Vol.7 (1), p.19-55

2000

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On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies

International journal for numerical methods in fluids, 2014-02, Vol.74 (4), p.270-291

2014

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A very high order Flux Reconstruction (FR) method for the numerical simulation of 1-D compositional fluid flow model in petroleum reservoirs

Geoenergy Science and Engineering, 2023-10, Vol.229, p.212056, Article 212056

2023

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A review and comparative study of upwind biased schemes for compressible flow computation. Part II: 1-D higher-order schemes

Archives of computational methods in engineering, 2000-01, Vol.7 (3), p.333-377

2000

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Robust design considering optimization tools and reduced-basis approximations

IOP conference series. Materials Science and Engineering, 2010-06, Vol.10 (1), p.012198-012198

2010

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Parallel simulation of two-phase incompressible and immiscible flows in porous media using a finite volume formulation and a modified IMPES approach

IOP conference series. Materials Science and Engineering, 2010-06, Vol.10 (1), p.012034-012034

2010

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An axisymmetric finite volume formulation for the solution of heat conduction problems using unstructured meshes

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2005-12, Vol.27 (4), p.407-414

2005

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A methodology and computational system for the simulation of fluid-structure interaction problem

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2005-09, Vol.27 (3), p.255-265

2005

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An edge-based unstructured finite volume procedure for the numerical analysis of heat conduction applications

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2004-06, Vol.26 (2), p.160-169

2004

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An implicit monolithic formulation based on finite element formulation for incompressible Navier–Stokes equations

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2015-01, Vol.37 (1), p.199-210

2015

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Numerical simulation of two-phase flows in 2-D petroleum reservoirs using a very high-order CPR method coupled to the MPFA-D finite volume scheme

Journal of petroleum science & engineering, 2020-09, Vol.192, p.107220, Article 107220

2020

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Numerical simulation of two dimensional compressible and incompressible flows

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2005-12, Vol.27 (4), p.372-380

2005

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TVD algorithms for the solution of the compressible Euler equations on unstructured meshes

International journal for numerical methods in fluids, 1994-11, Vol.19 (9), p.827-847

1994

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A Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear Defect Correction Strategy for the Numerical Solution of Steady State Diffusion Problems in Heterogeneous and Anisotropic Media Satisfying the Discrete Maximum Principle

Numerical simulation of 1-D oil and water displacements in petroleum reservoirs using the correction procedure via reconstruction (CPR) method

A node-centred finite volume formulation for the solution of two-phase flows in non-homogeneous porous media

Numerical simulation of 1-D oil and water displacements in petroleum reservoirs using the spectral finite volume method

An iterative modified multiscale control volume method for the simulation of highly heterogeneous porous media flow

An empirical correlation to estimate thermal properties of the breast and of the breast nodule using thermographic images and optimization techniques

A review and comparative study of upwind biased schemes for compressible flow computation. Part III: Multidimensional extension on unstructured grids

Structural analysis and optimization in the framework of reduced-basis method

A very high-order flux reconstruction approach coupled to the MPFA-QL finite volume method for the numerical simulation of oil-water flows in 2D petroleum reservoirs

Estimation of breast tumor thermal properties using infrared images

Numerical simulation of oil-water displacements in naturally fractured reservoirs using a hybrid grid MPFA-streamline (SLS-HyG) formulation

A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil–water displacements in heterogeneous and anisotropic petroleum reservoirs

A review and comparative study of upwind biased schemes for compressible flow computation. Part I: 1—D first—order schemes

On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies

A very high order Flux Reconstruction (FR) method for the numerical simulation of 1-D compositional fluid flow model in petroleum reservoirs

A review and comparative study of upwind biased schemes for compressible flow computation. Part II: 1-D higher-order schemes

Robust design considering optimization tools and reduced-basis approximations

Parallel simulation of two-phase incompressible and immiscible flows in porous media using a finite volume formulation and a modified IMPES approach

An axisymmetric finite volume formulation for the solution of heat conduction problems using unstructured meshes

A methodology and computational system for the simulation of fluid-structure interaction problem

An edge-based unstructured finite volume procedure for the numerical analysis of heat conduction applications

An implicit monolithic formulation based on finite element formulation for incompressible Navier–Stokes equations

Numerical simulation of two-phase flows in 2-D petroleum reservoirs using a very high-order CPR method coupled to the MPFA-D finite volume scheme

Numerical simulation of two dimensional compressible and incompressible flows

TVD algorithms for the solution of the compressible Euler equations on unstructured meshes

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