Scientific Activity

Publications 

J. A. Ferreira and G. Pena, FDM/FEM for nonlinear convection-diffusion-reaction equations with Neumann boundary conditions -Convergence analysis for smooth and nonsmooth solutions, Journal of Computational and Applied Mathematics 446 (2024)

S. Carvalho, J. A. Ferreira and G. Pena, Nonlinear systems of parabolic IBVP: a super-supraconvergent fully discrete piecewise linear FEM, Applied Mathematics and Computation 419 (2022)

J. A. Ferreira, P. de Oliveira, G. Pena and E. Silveira, Coupling nonlinear electric fields and temperature to enhance drug transport: an accurate numerical tool, Journal of Computational and Applied Mathematics 384 (2021)

J. R. Branco, J. A. Ferreira, P. de Oliveira and G. Pena, An eradication agent acting on a binary cell population model: mathematical analysis, Health Technol. 10 (2020) 945–959

J. A. Ferreira, P. de Oliveira and G. Pena, Transdermal iontophoresis - a quantitative and qualitative study, Computers & Mathematics with Aplications, 74(10) (2017) 2231-2242

G. Pontrelli, M. Lauricella, J. A. Ferreira and G. Pena, Iontophoretic transdermal drug delivery: a multi-layered approach, Mathematical Medicine and Biology, 34(4) (2017) 559-576

J. A. Ferreira, P. de Oliveira and G. Pena, On the exponential decay of waves with memory, Journal of Computational and Applied Mathematics, 318 (2017) 460-478

J. A. Ferreira, G. Pena and G. Romanazzi, Anomalous diffusion in porous media, Applied Mathematical Modelling, 40(3) (2016) 1850-1862

J. A. Ferreira and G. Pena, Nonfickian Effect in Time and Space for Diffusion Processes, Numerical Methods for Partial Differential Equations, 31(5) (2015) 1589-1602

J. R. Branco, J. A. Ferreira, P. de Oliveira and G. Pena, Chemotherapy for brain tumour: balance between frequency and intensity, In: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2015, July 6-10 2015

J. A. Ferreira, P. de Oliveira and G. Pena, The decay of solutions of a wave equation with memory, In: Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2014, July 3-7 2014

V. Chabannes, G. Pena and C. Prud’homme, High order fluid structure interaction in 2D and 3D: Application to blood flow in arteries, Journal of Computational and Applied Mathematics, 246 (2013) 1-9

C. Caldini-Queiros, V. Chabannes, M. Ismail, G. Pena, C. Prud’homme, M. Szopos and R. Tarabay, Towards Large-Scale Three-Dimensional Blood Flow Simulations in Realistic Geometries. In: ESAIM Proc. Vol. 43. 2013, pp. 195–212.

Modelling and Simulation in Fluid Dynamics in Porous Media, Coimbra, September 12-14, 2011, Springer Proceedings in Mathematics & Statistics, eds. José A. Ferreira, Sílvia Barbeiro, Gonçalo Pena, Mary F. Wheeler, 2013

C. Prud'homme, V. Chabannes, V. Doyeux, M. Ismail, A. Samake and G. Pena, Feel++: A Computational Framework for Galerkin Methods and Advanced Numerical Methods, In: ESAIM Proc., CEMRACS'11: Multiscale Coupling of Complex Models in Scientific Computing, Volume 38, p. 429-455, December 2012

J. A. Ferreira and G. Pena, Memory effect in time and space in non Fickian diffusion phenomena, In: Proceedings of the 12th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2012, Volume II, July 2-5 2012

G. Pena, C. Prudhomme and A. Quarteroni, High order methods for the approximation of the incompressible Navier–Stokes equations in a moving domain, Computer Methods in Applied Mechanics and Engineering, 209-212 (2012) 197-211

G. Pena and C. Prud'homme, Construction of a High Order Fluid-Structure Interaction Problem, Journal of Computational and Applied Mathematics, 234(7) (2010) 2358-2365

 

 

Other publications

 

G. Pena, Spectral Element Method Approximation of the incompressible Navier-Stokes equations in a moving domain and applications to hemodynamics, PhD thesis n° 4529, Ecole Polytechnique Fédérale de Lausanne, Lausanne, 2009

G. Pena, Métodos particionados e métodos implícitos-explícitos para equações de convecção-difusão-reacção, Master thesis, Universidade de Coimbra, 2005

 

 

Organized Conferences 
 

Workshop Portuguese Meeting on Optimal Control 2018, June 18th 2018, Coimbra

Workshop Modelling and Experiments in Drug Delivery Systems, June 20-22 2016, Coimbra

92nd European Study Group with Industry, May 6-10 2013, Coimbra

Workshop on Fluid Dynamics and Porous Media, September 12-14, 2011, Coimbra