Publications

Journal articles, proceedings and an edited book.

21 publications

2027

A parabolic–elliptic–hyperbolic system of Keller–Segel type: Numerical analysis and simulation

Q1 IF 4.0^†Mathematics, Applied

A. Fernandes, J. Ferreira and G. Pena

Mathematics and Computers in Simulation 252, 189-210Journal article

DOI

@article{2026-fernandes-ferreira-pena,
  author    = {A. Fernandes and J.A. Ferreira and G. Pena},
  title     = {A parabolic–elliptic–hyperbolic system of Keller--Segel type: Numerical analysis and simulation},
  journal   = {Mathematics and Computers in Simulation},
  volume    = {252},
  pages     = {189-210},
  year      = {2027},
  doi       = {10.1016/j.matcom.2026.08.042}
}

2026

A second order method for a drug release process defined by a differential Maxwell-Wiechert stress-strain relation

Q1 IF 1.6^†Mathematics

G. Campos, J. A. Ferreira, G. Pena and G. Romanazzi

Mathematical Modelling and Analysis 31(1), 1–25Journal article

DOI

@article{2026-campos-a-second-order,
  author    = {Campos, Geovan and Ferreira, José A. and Pena, Gonçalo and Romanazzi, Giuseppe},
  title     = {A second order method for a drug release process defined by a differential Maxwell-Wiechert stress-strain relation},
  journal   = {Mathematical Modelling and Analysis},
  volume    = {31},
  number    = {1},
  pages     = {1–25},
  year      = {2026},
  doi       = {10.3846/mma.2026.22960}
}

2024

FDM/FEM for nonlinear convection–diffusion–reaction equations with Neumann boundary conditions–Convergence analysis for smooth and nonsmooth solutions

Q1 IF 2.4^†Mathematics, Applied

J. A. Ferreira and G. Pena

Journal of Computational and Applied Mathematics 446, 115866Journal article

DOI

@article{2024-ferreira-fdm-fem,
  author    = {J. A. Ferreira and G. Pena},
  title     = {FDM/FEM for nonlinear convection–diffusion–reaction equations with Neumann boundary conditions--Convergence analysis for smooth and nonsmooth solutions},
  journal   = {Journal of Computational and Applied Mathematics},
  volume    = {446},
  pages     = {115866},
  year      = {2024},
  doi       = {10.1016/j.cam.2024.115866}
}

2022

Nonlinear systems of parabolic IBVP: A stable super-supraconvergent fully discrete piecewise linear FEM

Q1 IF 3.2^†Mathematics, Applied

S. Carvalho, J. A. Ferreira and G. Pena

Applied Mathematics and Computation 419, 126857Journal article

DOI

@article{2022-carvalho-nonlinear-systems,
  author    = {S. Carvalho and J. A. Ferreira and G. Pena},
  title     = {Nonlinear systems of parabolic IBVP: A stable super-supraconvergent fully discrete piecewise linear FEM},
  journal   = {Applied Mathematics and Computation},
  volume    = {419},
  pages     = {126857},
  year      = {2022},
  doi       = {10.1016/j.amc.2021.126857}
}

2021

Coupling nonlinear electric fields and temperature to enhance drug transport: An accurate numerical tool

Q1 IF 2.4^†Mathematics, Applied

J. A. Ferreira, P. de Oliveira, G. Pena and E. Silveira

Journal of Computational and Applied Mathematics 384Journal article

DOI

@article{2021-ferreira-coupling-nonlinear,
  author    = {J. A. Ferreira and P. de Oliveira and G. Pena and E. Silveira},
  title     = {Coupling nonlinear electric fields and temperature to enhance drug transport: An accurate numerical tool},
  journal   = {Journal of Computational and Applied Mathematics},
  volume    = {384},
  year      = {2021},
  doi       = {10.1016/j.cam.2020.113127}
}

2020

An eradication agent acting on a binary cell population model: mathematical analysis

Q3 IF 2.6^†Medical Informatics

J. R. Branco, J. A. Ferreira, P. de Oliveira and G. Pena

Health and Technology 10(4), 945–959Journal article

DOI

@article{2020-branco-an-eradication,
  author    = {Branco, J. R. and Ferreira, J. A. and de Oliveira, P. and Pena, G.},
  title     = {An eradication agent acting on a binary cell population model: mathematical analysis},
  journal   = {Health and Technology},
  volume    = {10},
  number    = {4},
  pages     = {945--959},
  year      = {2020},
  doi       = {10.1007/s12553-020-00448-z}
}

2017

Iontophoretic Transdermal Drug Delivery: a Multi-layered Approach

Q4 IF 0.9^†Mathematical and Computational Biology

G. Pontrelli, M. Lauricella, J. A. Ferreira and G. Pena

Mathematical Medicine and Biology 34(4), 559–576Journal article

DOI

@article{2017-pontrelli-iontophoretic-transdermal,
  author    = {Pontrelli, Giuseppe and Lauricella, Marco and Ferreira, Jos\'{e} A. and Pena, Gon\c{c}alo},
  title     = {Iontophoretic Transdermal Drug Delivery: a Multi-layered Approach},
  journal   = {Mathematical Medicine and Biology},
  volume    = {34},
  number    = {4},
  pages     = {559--576},
  year      = {2017},
  doi       = {10.1093/imammb/dqw017}
}

Transdermal iontophoresis – A quantitative and qualitative study

Q1 IF 2.7^†Mathematics, Applied

J. A. Ferreira, P. de Oliveira and G. Pena

Computers & Mathematics with Applications 74(10), 2231–2242Journal article

DOI

@article{2017-ferreira-transdermal-iontophoresis,
  author    = {J. A. Ferreira and P. de Oliveira and G. Pena},
  title     = {Transdermal iontophoresis - A quantitative and qualitative study},
  journal   = {Computers \& Mathematics with Applications},
  volume    = {74},
  number    = {10},
  pages     = {2231--2242},
  year      = {2017},
  doi       = {10.1016/j.camwa.2017.07.001}
}

On the Exponential Decay of Waves with Memory

Q1 IF 2.4^†Mathematics, Applied

J. A. Ferreira, P. de Oliveira and G. Pena

Journal of Computational and Applied Mathematics 318, 460–478Journal article

DOI

@article{2017-ferreira-on-the-exponential,
  author    = {Ferreira, Jos\'{e} A. and de Oliveira, Paula and Pena, Gon\c{c}alo},
  title     = {On the Exponential Decay of Waves with Memory},
  journal   = {Journal of Computational and Applied Mathematics},
  volume    = {318},
  pages     = {460--478},
  year      = {2017},
  doi       = {10.1016/j.cam.2016.01.058}
}

2016

Anomalous Diffusion in Porous Media

Q1 IF 5.5^†Mathematics, Interdisciplinary Applications

J. A. Ferreira, G. Pena and G. Romanazzi

Applied Mathematical Modelling 40(3), 1850–1862Journal article

DOI

@article{2016-ferreira-anomalous-diffusion,
  author    = {Ferreira, Jos\'{e} A. and Pena, Gon\c{c}alo and Romanazzi, Giuseppe},
  title     = {Anomalous Diffusion in Porous Media},
  journal   = {Applied Mathematical Modelling},
  volume    = {40},
  number    = {3},
  pages     = {1850--1862},
  year      = {2016},
  doi       = {10.1016/j.apm.2015.09.034}
}

2015

Nonfickian Effect in Time and Space for Diffusion Processes

Q2 IF 1.4^†Mathematics, Applied

J. A. Ferreira and G. Pena

Numerical Methods for Partial Differential Equations 31(5), 1589–1602Journal article

DOI

@article{2015-ferreira-nonfickian-effect,
  author    = {Ferreira, Jos\'{e} A. and Pena, Gon\c{c}alo},
  title     = {Nonfickian Effect in Time and Space for Diffusion Processes},
  journal   = {Numerical Methods for Partial Differential Equations},
  volume    = {31},
  number    = {5},
  pages     = {1589--1602},
  year      = {2015},
  doi       = {10.1002/num.21962}
}

Chemotherapy for brain tumour: balance between frequency and intensity

J. Branco, J. A. Ferreira, P. de Oliveira and G. Pena

Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering, 244–253Proceedings

Link

@inproceedings{2015-branco-chemotherapy-for,
  author    = {Branco, Jo\~{a}o and Ferreira, Jos\'{e} A. and de Oliveira, Paula and Pena, Gon\c{c}alo},
  title     = {Chemotherapy for brain tumour: balance between frequency and intensity},
  booktitle = {Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering},
  pages     = {244--253},
  year      = {2015}
}

2014

The decay of solutions of a wave equation with memory

J. A. Ferreira, P. de Oliveira and G. Pena

Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2, 531–542Proceedings

Link

@inproceedings{2014-ferreira-the-decay,
  author    = {Ferreira, Jos\'{e} A. and de Oliveira, Paula and Pena, Gon\c{c}alo},
  title     = {The decay of solutions of a wave equation with memory},
  booktitle = {Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE},
  volume    = {2},
  pages     = {531--542},
  year      = {2014}
}

2013

Modelling and Simulation in Fluid Dynamics in Porous Media

J. A. Ferreira, S. Barbeiro, G. Pena and M. Wheeler (eds.)

Springer Proceedings in Mathematics & Statistics, SpringerEdited book

DOI

@book{2013-ferreira-eds-modelling,
  editor    = {Ferreira, Jos\'{e} A. and Barbeiro, S\'{\i}lvia and Pena, Gon\c{c}alo and Wheeler, Mary},
  title     = {Modelling and Simulation in Fluid Dynamics in Porous Media},
  series    = {Springer Proceedings in Mathematics \& Statistics},
  publisher = {Springer},
  year      = {2013},
  doi       = {10.1007/978-1-4614-5055-9}
}

High-Order Fluid-Structure Interaction in 2D and 3D: Application to Blood Flow in Arteries

Q1 IF 2.4^†Mathematics, Applied

V. Chabannes, G. Pena and C. Prud'homme

Journal of Computational and Applied Mathematics 246, 1–9Journal article

DOI

@article{2013-chabannes-high-order,
  author    = {Chabannes, Vincent and Pena, Gon\c{c}alo and Prud'homme, Christophe},
  title     = {High-Order Fluid-Structure Interaction in 2{D} and 3{D}: Application to Blood Flow in Arteries},
  journal   = {Journal of Computational and Applied Mathematics},
  volume    = {246},
  pages     = {1--9},
  year      = {2013},
  doi       = {10.1016/j.cam.2012.10.006}
}

Towards Large-Scale Three-Dimensional Blood Flow Simulations in Realistic Geometries

C. Caldini-Queiros, V. Chabannes, M. Ismail, G. Pena, C. Prud'homme, M. Szopos and R. Tarabay

ESAIM Proc. 43, 195–212Proceedings

DOI

@inproceedings{2013-caldini-towards,
  author    = {Caldini-Queiros, C\'{e}line and Chabannes, Vincent and Ismail, Mourad and Pena, Gon\c{c}alo and Prud'homme, Christophe and Szopos, Marcela and Tarabay, Ranine},
  title     = {Towards Large-Scale Three-Dimensional Blood Flow Simulations in Realistic Geometries},
  booktitle = {ESAIM Proc.},
  volume    = {43},
  pages     = {195--212},
  year      = {2013},
  doi       = {10.1051/proc/201343013}
}

2012

Feel++: A Computational Framework for Galerkin Methods and Advanced Numerical Methods

C. Prud'homme, V. Chabannes, V. Doyeux, M. Ismail, A. Samake and G. Pena

ESAIM Proc. 38, 429–455Proceedings

DOI

@inproceedings{2012-prudhomme-feel-a,
  author    = {Prud'homme, Christophe and Chabannes, Vincent and Doyeux, Vincent and Ismail, Mourad and Samake, Abdoulaye and Pena, Gon\c{c}alo},
  title     = {Feel++: A Computational Framework for {G}alerkin Methods and Advanced Numerical Methods},
  booktitle = {ESAIM Proc.},
  volume    = {38},
  pages     = {429--455},
  year      = {2012},
  doi       = {10.1051/proc/201238024}
}

Advances in Feel++: a domain specific embedded language in C++ for partial differential equations

C. Prud'Homme, V. Chabannes, V. Doyeux, M. Ismail, A. Samake, G. Pena, C. Daversin and C. Trophime

Eccomas'12 – European Congress on Computational Methods in Applied Sciences and EngineeringProceedings

Link

@inproceedings{2012-prudhomme-advances-in,
  author    = {Prud'Homme, Christophe and Chabannes, Vincent and Doyeux, Vincent and Ismail, Mourad and Samake, Abdoulaye and Pena, Gon\c{c}alo and Daversin, C\'{e}cile and Trophime, Christophe},
  title     = {{Advances in Feel++: a domain specific embedded language in C++ for partial differential equations}},
  booktitle = {{Eccomas'12 - European Congress on Computational Methods in Applied Sciences and Engineering}},
  year      = {2012}
}

High Order Methods for the Approximation of the Incompressible Navier-Stokes Equations in a Moving Domain

Q1 IF 7.6^†Mathematics, Interdisciplinary Applications

G. Pena, C. Prud'homme and A. Quarteroni

Computer Methods in Applied Mechanics and Engineering 209-212, 197–211Journal article

DOI

@article{2012-pena-high-order,
  author    = {Pena, Gon\c{c}alo and Prud'homme, Christophe and Quarteroni, Alfio},
  title     = {High Order Methods for the Approximation of the Incompressible {N}avier-{S}tokes Equations in a Moving Domain},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  volume    = {209-212},
  pages     = {197--211},
  year      = {2012},
  doi       = {10.1016/j.cma.2011.09.016}
}

Memory Effect in Time and Space in Nonfickian Diffusion Phenomena

J. A. Ferreira and G. Pena

Proceedings of the 12th International Conference on Computational and Mathematical Methods in Science and Engineering 2, 554–560Proceedings

Link

@inproceedings{2012-ferreira-memory-effect,
  author    = {Ferreira, Jos\'{e} A. and Pena, Gon\c{c}alo},
  title     = {Memory Effect in Time and Space in Nonfickian Diffusion Phenomena},
  booktitle = {Proceedings of the 12th International Conference on Computational and Mathematical Methods in Science and Engineering},
  volume    = {2},
  pages     = {554--560},
  year      = {2012}
}

2010

Construction of a High Order Fluid-Structure Interaction Solver

Q1 IF 2.4^†Mathematics, Applied

G. Pena and C. Prud'homme

Journal of Computational and Applied Mathematics 234(7), 2358–2365Journal article

DOI

@article{2010-pena-construction-of,
  author    = {Pena, Gon\c{c}alo and Prud'homme, Christophe},
  title     = {Construction of a High Order Fluid-Structure Interaction Solver},
  journal   = {Journal of Computational and Applied Mathematics},
  volume    = {234},
  number    = {7},
  pages     = {2358--2365},
  year      = {2010},
  doi       = {10.1016/j.cam.2009.08.093}
}

^† Quartile, impact factor (IF) and subject category from Clarivate Journal Citation Reports, JCR 2025 data.

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