Publications

Updated 22.11.2018

Recent preprints

  • “The discrete Steklov-Poincaré operator using algebraic dual polynomials”, Y. Zhang, V. Jain, A. Palha, M. Gerritsma, submitted (2018).
  • “Algebraic dual polynomials for the equivalence of curl-curl problems”, M. Gerritsma, V. Jain, Y. Zhang,  A. Palha, submitted (2018). arXiv
  • “Construction and application of algebraic dual polynomial representation for finite element methods”, V. Jain, Y. Zhang, A. Palha, M. Gerritsma, submitted (2017).  arXiv

Refereed journal articles

  1. “Inclusion of no-slip boundary conditions in the MEEVC scheme”, G. G. de Diego, A. Palha, M. Gerritsma, Journal of Computational Physics, in print, (2018). publisher 
  2. “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
  3. “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
  4. “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
  5. “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
  6. “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
  7. “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
  8. “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
  9. “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

Book chapters

  1. “Mimetic Spectral Element for Anisotropic Diffusion”, M. Gerritsma, A. Palha, V. Jain, Y. Zhang. Numerical Methods for PDEs, SEMA SIMAI, Springer (2018). publisher arXiv
  2. “Spectral Mimetic Least-Squares Methods for curl-curl Systems”, A. Palha, M. Gerritsma. Lecture Notes in Computer Science, vol. 10665, Springer (2018). publisher 
  3. “Spectral Mimetic Least-Squares Methods for div-curl Systems”, M. Gerritsma, A. PalhaLecture Notes in Computer Science, vol. 10665, Springer (2018). publisher 
  4. “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
  5. “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
  6. “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
  7. “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
  8. “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
  9. “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
  10. “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
  11. “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.