Publications

Updated 17.11.2020

Recent works

    • “Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere”, D. Lee, A. Palha (2020). arXiv
    • “A conservative, physically compatible discretization for turbidity currents”, G. de Diego, A. Palha, M. Gerritsma, submitted (2020). arXiv

Peer reviewed articles

  1. “Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes”, V. Jain, Y. Zhang, A. Palha, M. Gerritsma, Computers and Mathematics with Applications, In Press (2020). publisher arXiv
  2. “A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere”, D. Lee, A. Palha, Journal of Computational Physics, 401, 108993, pp. 1-28 (2019). publisher arXiv
  3. “Algebraic dual polynomials for the equivalence of curl-curl problems”, M. Gerritsma, V. Jain, Y. Zhang, A. Palha, Numerical Methods for Flows, Lecture Notes in Computational Science and Engineering, vol 132, Springer. publisher arXiv
  4. “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
  5. “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 
  6. “Physics research on the TCV tokamak facility: From conventional to alternative scenarios and beyond”, S. Coda, (…), A. Palha, Nuclear Fusion, 59(8), 086020 (2019). publisher
  7. “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(11), (2019). publisher
  8. “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).
  9. “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).
  10. “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
  11. “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
  12. “Mimetic Spectral Element for Anisotropic Diffusion”, M. Gerritsma, A. Palha, V. Jain, Y. Zhang. Numerical Methods for PDEs, SEMA SIMAI, Springer (2018). publisher arXiv
  13. “Spectral Mimetic Least-Squares Methods for curl-curl Systems”, A. Palha, M. Gerritsma. Lecture Notes in Computer Science, vol. 10665, Springer (2018). publisher 
  14. “Spectral Mimetic Least-Squares Methods for div-curl Systems”, M. Gerritsma, A. PalhaLecture Notes in Computer Science, vol. 10665, Springer (2018). publisher 
  15. “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
  16. “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
  17. “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
  18. “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
  19. “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
  20. “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
  21. “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
  22. “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
  23. “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
  24. “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
  25. “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
  26. “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
  27. “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
  28. “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
  29. “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

Conference proceedings

  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
  5. “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
  6. “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
  7. “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

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.