14th ISAAC Congress 2023, University of São Paulo, Campus Ribeirão Preto (Brazil)

July 17 to July 21, 2023

Home and General View/Informations LINK: https://dcm.ffclrp.usp.br/isaac/

Take a look at the session and Invited speakers in the "PDEs in Fluid Mechanics" in 14th ISAAC congress 2023,

LINK: https://dcm.ffclrp.usp.br/isaac/sessoes/pdes_in_fluid_mechanics/

 Workshop in Complex Fluids and Solid Mechanics

June 2, 2023  -- https://w3.math.uminho.pt/complexfluids/

Seminar Room of the Department of Mathematics
School of Sciences, University of Minho, Portugal
Gualtar Campus, Building 6, room 3.08

The 6th InterPore Brazil Chapter Meeting in 2023 https://pages.cnpem.br/interpore2023br/

It is our great pleasure to announce that in 2023 the Brazilian Synchrotron Light Laboratory (LNLS)  https://www.lnls.cnpem.br/home/ will host the 6th InterPore Brazilian Chapter Meeting (totally in person!)  from 7-9 August 2023 in Campinas-SP, Brazil.

The LNLS is located in Campinas City, in the São Paulo State (Southeast Region of Brazil). The city is home to State University of Campinas (UNICAMP – https://www.unicamp.br/unicamp/english).

 

Eduardo Abreu (UNICAMP-IMECC)
Chair, InterPore Brazilian Chapter
eabreu@ime.unicamp.br
https://www.interpore.org/brazil-interpore-chapter/

The following works have been published and made available online during December 2022 to February 2023:

An exponential integration generalized multiscale finite element method for parabolic problems.

Luis Hernandez, David Pardo, Eduardo Abreu, Judit Muñoz-Matute Ciro Díaz, Juan Galvis.

LINK: https://doi.org/10.1016/j.jcp.2023.112014

Keywords: Multiscale approximation, Time integration, Functions of matrices, Finite element methods.

Avaialble online on 21 February 2023

 

Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian-Eulerian scheme via weak asymptotic analysis for hyperbolic problems.  

Eduardo Abreu, Arthur Espírito Santo, Wanderson Lambert, Jonh Pérez. 

LINK:  https://doi.org/10.1002/num.22972

Keywords: Fully discrete Lagrangian–Eulerian scheme, Kruzhkov entropy condition, maximum principle, no-flow curves, positivity-preserving, total variation nonincreasing, weak asymptotic analysis, weak bounded variation.

Avaialble online on 26 December 2022. 

A geometrically intrinsic lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data. 

Eduardo Abreu, Elena Bachini, John Pérez, Mario Putti.

LINK: https://doi.org/10.1016/j.amc.2022.127776

Keywords:  Balance laws on surface, Shallow water equations, Non-autonomous fluxes, Spatially variable topography, Intrinsic lagrangian-Eulerian scheme, No-flow surfaces.

Avaialble online on 21 December 2022

The following work have been published and made available online during October 2022:

Recursive formulation and parallel implementation of multiscale mixed methods. 

Eduardo Abreu, Paola Ferraz, Arthur Espírito Santo, Felipe Pereira, L. Santos, Fabrício Sousa.

LINK: https://doi.org/10.1016/j.jcp.2022.111681

Keywords: Recursive Multiscale Robin Coupled Method, Parallelization ,Mixed finite elements, Domain decomposition, Fluid dynamics in porous media, Darcy's law.

Available Online on 10 October 2022.

Brazil Interpore Chapter news

We welcome you to the (fully free of charge) 5th Brazil Interpore Chapter Meeting 2022, still fully virtual mode, 1-2 August 2022.

LINK: https://interpore2022br.ufrn.br/

Please, fill up the Online Registration form at the site to get the ZOOM link to the Thematic session.

Texture image classification based on a pseudo-parabolic diffusion model

Jardel Vieira, Eduardo Abreu and João B. Florindo, Texture image classification based on a pseudo-parabolic diffusion model

LINK: https://link.springer.com/article/10.1007/s11042-022-12048-2

Keywords: Pseudo-parabolic equation, Texture recognition, Image classification, Numerical approximation methods for PDEs

The work "Lagrangian-Eulerian approach for nonlocal conservation laws" (article number 10.1007/s10884-022-10193-8) has been accepted for publication in Journal of Dynamics and Differential Equations.

Lagrangian-Eulerian approach for nonlocal conservation laws, Eduardo Abreu, Richard A. De la Cruz Guerrero, Juan Carlos Juajibioy Otero and Wanderson José Lambert

LINK: https://link.springer.com/article/10.1007/s10884-022-10193-8

Keywords: Nonlocal conservation laws, Lagrangian-Eulerian approach, No-flow curves, Kruzhkov entropy solution, Applications.

Full read of the Research Spotlight

On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach

 Eduardo Abreu, Lucas C. F. Ferreira, Juan G. G. Delgado and John Pérez, On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach. 

NONLINEARITY, v.35 (2022) p.1734 - 1772. 

LINK:  https://iopscience.iop.org/article/10.1088/1361-6544/ac5097  

Keywords: Nonlinear transport equation, Measure initial data, Nonlocal flow, Blow-up; Asymptotic behavior, Finite-time mass con- centration, Analytical and computational methods.

A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models

 Eduardo Abreu, Jean François, Wanderson Lambert and John Pérez, A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models. 

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.406 (2022), p.114011. 

LINK: https://www.sciencedirect.com/science/article/abs/pii/S0377042721005963

Keywords: Hyperbolic conservation laws, Semi-discrete scheme, Blow-up analysis, Weak asymptotic analysis, Total variation nonincreasing, Kruzhkov entropy solution.

 

A Class of Positive Semi-discrete Lagrangian-Eulerian Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

 Eduardo Abreu, Jean François, Wanderson Lambert and John Pérez, A Class of Positive Semi-discrete Lagrangian-Eulerian Schemes for Multidimensional Systems of Hyperbolic Conservation Laws. 

JOURNAL OF SCIENTIFIC COMPUTING, v.90 (2022),  p.40 (79 pages). 

LINK: https://link.springer.com/article/10.1007/s10915-021-01712-8  

Keywords: Hyperbolic conservation laws, Semidiscrete Lagrangian-Eulerian schemes, Positivity principle - Systems of Hyperbolic Conse, Weak asymptotic analysis, Total variation nonincreasing (TVNI).

Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models

 Eduardo Abreu and Angél M. Durán, Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models. 

COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.102 (2021), p.15 - 44. 

LINK:  https://doi.org/10.1016/j.camwa.2021.10.001 

Keywords:  pseudo-parabolic equations, Spectral methods, error estimates, strong stability preserving methods, non-regular data.

Recursive Mixed Multiscale Model Reduction for Karst Conduit-Flow in Carbonate Reservoirs

 Paola Ferraz, Patricia Pereira, Eduardo Abreu and Marcio Murad, Recursive Mixed Multiscale Model Reduction for Karst Conduit-Flow in Carbonate Reservoirs. 

TRANSPORT IN POROUS MEDIA. , v.139 (2021) p. 527 - 558. 

LINK: https://link.springer.com/article/10.1007/s11242-021-01678-z  

Keywords: Karst conduits, lower-dimensional model reduction, Homogenization, coupled 1D/3D flows, multiscale mixed finite element.

 

An Application of a Pseudo-Parabolic Modeling to Texture Image Recognition

 Eduardo Abreu and João B. Florindo, An Application of a Pseudo-Parabolic Modeling to Texture Image Recognition 

In: Lecture Notes in Computer Science.31 ed.: Springer International Publishing, 2021, p. 386-397. 

LINK: https://link.springer.com/10.1007/978-3-030-77964-1_30 

Keywords: Pseudo-parabolic equation, Texture recognition, Image classification, Computational Methods for PDEs.

A Study on a Feedforward Neural Network to Solve Partial Differential Equations in Hyperbolic-Transport Problems

 Eduardo Abreu and João B. Florindo, A Study on a Feedforward Neural Network to Solve Partial Differential Equations in Hyperbolic-Transport Problems. 

In: Lecture Notes in Computer Science.31 ed.: Springer International Publishing (2021) p. 398-411. 

LINK: https://link.springer.com/10.1007/978-3-030-77964-1_31 

Keywords: Neural network, Partial differential equation, Transport models, Numerical approximation methods for PDEs, pproximation of entropy solutions.

Riemann problems and delta-shock solutions for a Keyfitz-Kranzer system with a forcing term

 Eduardo Abreu, Richard Guerrero and Wanderson Lambert, Riemann problems and delta-shock solutions for a Keyfitz-Kranzer system with a forcing term. 

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.502 (2021) p.15 – 125267. 

LINK: https://doi.org/10.1016/j.jmaa.2021.125267 

Keywords: Nonsymmetric Keyfitz-Kranzer system, Improved Lagragian-Eulerian scheme, Coulomb friction term, Delta-shock solutions, Riemann problem, Source terms.

Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws

 Eduardo Abreu, Richard Guerrero and Marcelo M. Santos, Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws. 

MONATSHEFTE FUR MATHEMATIK, v.194, (2021) p.737 – 766. 

LINK: https://link.springer.com/article/10.1007%2Fs00605-021-01524-w 

Keywords: Delta shock waves, System of conservation laws, Nonsymmetric Keyfitz-Kranzer system, Lagrangian-Eulerian method.

Texture image classification based on a pseudo-parabolic diffusion model

 Jardel Vieira,  Eduardo Abreu and João B. Florindo, Texture image classification based on a pseudo-parabolic diffusion model. 

To Appear in MULTIMEDIA TOOLS AND APPLICATIONS (2022) 22 pages. 

LINK: https://arxiv.org/pdf/2011.07173

Keywords: Texture image classification, Pseudo-parabolic diffusion process, Local descriptor, Image Analysis.

A Class of Lagrangian-Eulerian Shock-Capturing Schemes for First-Order Hyperbolic Problems with Forcing Terms

 Eduardo Abreu, Vitor Matos, John Pérez and Panters Bermudez-Rodriguez, A Class of Lagrangian-Eulerian Shock-Capturing Schemes for First-Order Hyperbolic Problems with Forcing Terms. 

JOURNAL OF SCIENTIFIC COMPUTING, v.86 (2021) p.14 (47 pages). 

LINK:  https://doi.org/10.1007/s10915-020-01392-w 

Keywords: Hyperbolic Balance Laws, Hyperbolic conservation laws, Lagrangian-Eulerian method, 4 by 4 (2D) Compressible Euler Flows, 3 by (2D) Shallow-Water Equations, Multidimensional Hyperbolic Sytems of Conservation.