Publications

Updated 14.05.2021

Recent works

    • “A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains”, Y. Zhang, A. Palha,  M. Gerritsma, L. Rebholz, submitted (2021). arXiv
    • “A conservative, physically compatible, dual-field discretization for turbidity currents: with application to the lock-exchange problem”, G. de Diego, A. Palha, M. Gerritsma, submitted (2020). arXiv

Peer reviewed articles

  1. “Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere”, D. Lee, A. Palha, Journal of Computational Physics, in Press (2021). publisher arXiv
  2. “The Use of Dual B-Spline Representations for the Double de Rham Complex of Discrete Differential Forms”, Y. Zhang, V. Jain, A. Palha, M. Gerritsma, IGAA 2018: Isogeometric Analysis and Applications 2018, Lectures Notes in Computational Science and Engineering, pp. 227-242 (2021). publisher
  3. “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
  4. “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
  5. “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
  6. “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
  7. “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 
  8. “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
  9. “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
  10. “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).
  11. “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).
  12. “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
  13. “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
  14. “Mimetic Spectral Element for Anisotropic Diffusion”, M. Gerritsma, A. Palha, V. Jain, Y. Zhang. Numerical Methods for PDEs, SEMA SIMAI, Springer (2018). publisher arXiv
  15. “Spectral Mimetic Least-Squares Methods for curl-curl Systems”, A. Palha, M. Gerritsma. Lecture Notes in Computer Science, vol. 10665, Springer (2018). publisher 
  16. “Spectral Mimetic Least-Squares Methods for div-curl Systems”, M. Gerritsma, A. PalhaLecture Notes in Computer Science, vol. 10665, Springer (2018). publisher 
  17. “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
  18. “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
  19. “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
  20. “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
  21. “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
  22. “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
  23. “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
  24. “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
  25. “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
  26. “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
  27. “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
  28. “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
  29. “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
  30. “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
  31. “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.