Publications

Updated 21.09.2019

Recent submissions

  • “A conservative, physically compatible discretization for turbidity currents”, G. de Diego, A. Palha, M. Gerritsma, submitted (2019).
  • “Construction and application of algebraic dual polynomial representation for finite element methods”, V. Jain, Y. Zhang, A. Palha, M. Gerritsma, submitted (2019).  arXiv
  • “Algebraic dual polynomials for the equivalence of curl-curl problems”, M. Gerritsma, V. Jain, Y. Zhang, A. Palha, submitted (2018). arXiv

Refereed journal articles

  1. “A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere”, D. Lee, A. Palha, Journal of Computational Physics, Accepted (2019). publisher arXiv
  2. “The discrete Steklov-Poincaré operator using algebraic dual polynomials”, Y. Zhang, V. Jain, A. Palha, M. Gerritsma, Computational Methods in Applied Mathematics, 19(3), pp. 645-661 (2019). publisher
  3. “Dependence on plasma shape and plasma fueling for small edge-localized mode regimes in TCV and ASDEX Upgrade”, A. Labit, (…), A. Palha, Nuclear Fusion, 59(8), 086020 (2019). publisher
  4. “Inclusion of no-slip boundary conditions in the MEEVC scheme”, G. G. de Diego, A. Palha, M. Gerritsma, Journal of Computational Physics, 378, pp. 615-633, (2019). publisher 
  5. “A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere”, D. Lee, A. PalhaJournal of Computational Physics, 375, pp. 240-262 (2018).  publisher arXiv
  6. “Discrete conservation properties for shallow water flows using mixed mimetic spectral element methods”, D. Lee, A. Palha, M. Gerritsma, Journal of Computational Physics, 357, pp. 282-304 (2018).  publisher arXiv
  7. “A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations”, A. Palha, M. Gerritsma, Journal of Computational Physics, 328, pp. 200-220 (2017). publisher arXiv
  8. “A mimetic spectral element solver for the Grad-Shafranov equation”, A. Palha, B. Koren, F. Felici. Journal of Computational Physics (invitation only special issue on Computational methods for energy), 316, pp. 63-93 (2016). publisher
  9. “A posteriori uncertainty quantification of PIV-based pressure data”, I. Azijli, A. Sciacchitano, D. Ragni, A. Palha, R. P. Dwight. Experiments in Fluids, 57(5), pp. 1-15 (2016). publisher
  10. “Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms”, A. Palha, P.P. Rebelo, R. Hiemstra, J. Kreeft, M. Gerritsma. Journal of Computational Physics (invitation only special issue on Physics-compatible numerical methods), 257(PB), pp. 1394-1422 (2014). publisher
  11. “The impact of wave energy farms in the shoreline wave climate: Portuguese pilot zone case study using Pelamis energy wave devices”, A. Palha, L. Mendes, C. J. Fortes, A. Brito-Melo, A. Sarmento. Renewable Energy, 35(1), pp. 62-77 (2010). publisher
  12. “Irregular wave propagation at Torres-Mostardas beach, Brazil”, A. Palha, C.J. Fortes, P.R.F. Teixeira, L.V. Pinheiro. Maritime Engineering, 163(MA2), pp. 57-71 (2010). publisher
  13. “Viability Study of an Artificial Surf Reef in S. Pedro do Estoril, Cascais, Portugal”, P. Bicudo, M. Custódio, N. Cardoso, C. J. Fortes, M. da Graça Neves, L. Mendes, P. Monteiro, A. Palha, M. J. Nogueira, L. Miguel. International Society of Offshore and Polar Engineers, ISOPE-I-08-355 (2008). publisher

Book chapters

  1. “Discrete equivalence of adjoint Neumann-Dirichlet div-grad and grad-div equations in curvilinear 3D domains”, Y. Zhang, V. Jain, A. Palha, M. Gerritsma. To appear in Lecture Notes in Computational Science and Engineering (2019).
  2. “A conservative hybrid method for Darcy flow”, V. Jain, Y. Zhang, A. Palha, M. Gerritsma. To appear in Lecture Notes in Computational Science and Engineering (2019).
  3. “Mimetic Spectral Element for Anisotropic Diffusion”, M. Gerritsma, A. Palha, V. Jain, Y. Zhang. Numerical Methods for PDEs, SEMA SIMAI, Springer (2018). publisher arXiv
  4. “Spectral Mimetic Least-Squares Methods for curl-curl Systems”, A. Palha, M. Gerritsma. Lecture Notes in Computer Science, vol. 10665, Springer (2018). publisher 
  5. “Spectral Mimetic Least-Squares Methods for div-curl Systems”, M. Gerritsma, A. PalhaLecture Notes in Computer Science, vol. 10665, Springer (2018). publisher 
  6. “Mimetic Spectral Element Advection”, A. Palha, P.R. Rebelo, M. Gerritsma. Lecture Notes in Computational Science and Engineering, Vol. 95, pp. 325-335 (2014). publisher
  7. “The Geometrical Basis of Numerical Methods”, M. Gerritsma, R. Hiemstra, J. Kreeft, A. Palha, P. Rebelo, D. Toshniwal. Lecture Notes in Computational Science and Engineering, Vol. 95, pp. 17-35 (2014). publisher
  8. “Mixed Mimetic Spectral Element Method Applied to Darcy’s Problem”, P. Rebelo, A. Palha, M. Gerritsma. Lecture Notes in Computational Science and Engineering, Vol. 95, pp. 17-35 (2014). publisher
  9. “Spectral element approximation of the Hodge-\star operator in curved elements”, A. Palha, M. Gerritsma. Lecture Notes in Computational Science and Engineering, Vol. 76, pp. 283-291 (2011). publisher
  10. “A conservative spectral element method for curvilinear domains”, M. Bouman, A. Palha, M. Gerritsma. Lecture Notes in Computational Science and Engineering, Vol. 76, pp. 111-119 (2011). publisher
  11. “Composite modelling”, H. Gerritsen, J. Sutherland, J. A. Santos, H. van den Boogaard, S. Caires, R. Deigaard, M. Dixen, C. J. Fortes, J. Fredsøe, P. Freire, M. van Gent, X. Gironella, J. Grüne, N. Grunnet, P. M. Jensen, R. Lemos, M. G. Neves, C. Obhrai, F. Oliveira, T. Oliveira, H. Oumeraci, A. Palha, L. Pinheiro, R. Schmidt-Koppenhagen, U. Schmidtke, M. T. Reis, M. M. Rita, F. Sancho, J.-P. Sierra, I. Sousa, B. M. Sumer. Users Guide to Physical Modelling and Experimentation, CRC Press (2011). publisher
  12. “Mimetic Least-Squares spectral/hp finite element method for the Poisson equation”, A. Palha, M. Gerritsma. Lecture Notes in Computer Science, Vol. 5910, pp. 662-670 (2010). publisher
  13. “Least-Squares spectral element method on a staggered grid”, M. Gerritsma, M. Bouman, A. PalhaLecture Notes in Computer Science, Vol. 5910, pp. 653-661 (2010). publisher

Refereed conference articles

  1. “Analysis of the impact of a pilot zone for wave energy conversion offshore Portugal”, L. Mendes, A. Palha, C.J. Fortes, A.B.E. Melo, A. Sarmento. Proceedings of the Eighteenth International Offshore and Polar Engineering Conference, pp. 401-408 (2008). publisher
  2. “Numerical simulation of random wave runup on seawall near shoreline with FUNWAVE model”, A. Palha, C.J. Fortes, H. Mase. Proceedings of the Seventeenth International Offshore and Polar Engineering Conference (2007). publisher
  3. “Internal wave generation on finite element model BOUSS1D_iw: Comparison with experimental data”, L. Pinheiro, A. Palha, C.J. Fortes, M. Walkley. Proceedings of the Seventeenth International Offshore and Polar Engineering Conference (2007). publisher

Conference articles

  1. A posteriori uncertainty quantification of PIV-derived pressure fields”, I. Azijli, A. Sciacchitano, D. Ragni, A. Palha, R. Dwight. Proceedings of 11th International Symposium on Particle Image Velocimetry – PIV15 (2015). manuscript
  2. “Generalized convection-diffusion through the discrete representation of the Lie derivative”, P.P. Rebelo, A. Palha, M. Gerritsma. Proceedings of ECCOMAS 2012 (2012).
  3. “The geometric basis of mimetic spectral approximations”, M. Gerritsma, J. Kreeft, A. Palha, P.P. Rebelo, R. Hiemstra. Proceedings of ECCOMAS 2012 (2012).
  4. “Numerical solution of advection equations with the discretization of the Lie derivative”, A. Palha, J. Kreeft, M. Gerritsma. Proceedings of ECCOMAS 2010 (2010). manuscript

Preprints

  1. “Mimetic spectral element method for Hamiltonian systems”, A. Palha, M. Gerritsma (2015). arXiv
  2. “A hybrid Eulerian-Lagrangian flow solver”, A. Palha, L. Manickathan, C.S. Ferreira, G. van Bussel (2015). arXiv
  3. “Mimetic framework on curvilinear quadrilaterals of arbitrary order”, J. Kreeft, A. Palha, M. Gerritsma (2011). arXiv

Notation

For the standard notation used in all publications see this page.