Nektar++: An efficient h to p finite element framework. Nektar++ is a tensor product based finite element package designed to allow one to construct efficient classical low polynomial order h-type solvers (where h is the size of the finite element) as well as higher p-order piecewise polynomial order solvers. The framework currently has the following capabilities: Representation of one, two and three-dimensional fields as a collection of piecewise continuous or discontinuous polynomial domains. Segment, plane and volume domains are permissible, as well as domains representing curves and surfaces (dimensionally-embedded domains). Hybrid shaped elements, i.e triangles and quadrilaterals or tetrahedra, prisms and hexahedra. Both hierarchical and nodal expansion bases. Continuous or discontinuous Galerkin operators. Cross platform support for Linux, Mac OS X and Windows.

References in zbMATH (referenced in 31 articles , 1 standard article )

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  1. Mengaldo, Gianmarco; De Grazia, Daniele; Moura, Rodrigo C.; Sherwin, Spencer J.: Spatial eigensolution analysis of energy-stable flux reconstruction schemes and influence of the numerical flux on accuracy and robustness (2018)
  2. Minjeaud, Sebastian; Pasquetti, Richard: High order $C^0$-continuous Galerkin schemes for high order PDEs, conservation of quadratic invariants and application to the Korteweg-de Vries model (2018)
  3. Chun, Sehun: Method of moving frames to solve time-dependent Maxwell’s equations on anisotropic curved surfaces: applications to invisible cloak and ELF propagation (2017)
  4. Chun, S.; Eskilsson, C.: Method of moving frames to solve the shallow water equations on arbitrary rotating curved surfaces (2017)
  5. Docampo-Sánchez, Julia; Ryan, Jennifer K.; Mirzargar, Mahsa; Kirby, Robert M.: Multi-dimensional filtering: reducing the dimension through rotation (2017)
  6. He, W.; Gioria, R.S.; Pérez, J.M.; Theofilis, V.: Linear instability of low Reynolds number massively separated flow around three NACA airfoils (2017)
  7. Jomo, John N.; Zander, Nils; Elhaddad, Mohamed; Özcan, Ali; Kollmannsberger, Stefan; Mundani, Ralf-Peter; Rank, Ernst: Parallelization of the multi-level $hp$-adaptive finite cell method (2017)
  8. Moura, R.C.; Mengaldo, G.; Peiró, J.; Sherwin, S.J.: On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence (2017)
  9. Santiago Badia, Alberto F. Martin, Javier Principe: FEMPAR: An object-oriented parallel finite element framework (2017) arXiv
  10. Tong, Feifei; Cheng, Liang; Xiong, Chengwang; Draper, Scott; An, Hongwei; Lou, Xiaofan: Flow regimes for a square cross-section cylinder in oscillatory flow (2017)
  11. Xu, Hui; Lombard, Jean-Eloi W.; Sherwin, Spencer J.: Influence of localised smooth steps on the instability of a boundary layer (2017)
  12. Xu, Hui; Mughal, Shahid M.; Gowree, Erwin R.; Atkin, Chris J.; Sherwin, Spencer J.: Destabilisation and modification of Tollmien-Schlichting disturbances by a three-dimensional surface indentation (2017)
  13. Bao, Y.; Palacios, R.; Graham, M.; Sherwin, S.: Generalized thick strip modelling for vortex-induced vibration of long flexible cylinders (2016)
  14. Bolis, A.; Cantwell, C.D.; Moxey, D.; Serson, D.; Sherwin, S.J.: An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a Fourier spectral/\ithp element method and MPI virtual topologies (2016)
  15. Gepner, S.W.; Floryan, J.M.: Flow dynamics and enhanced mixing in a converging-diverging channel (2016)
  16. Homolya, M.; Ham, D.A.: A parallel edge orientation algorithm for quadrilateral meshes (2016)
  17. McRae, A.T.T.; Bercea, G.-T.; Mitchell, L.; Ham, D.A.; Cotter, C.J.: Automated generation and symbolic manipulation of tensor product finite elements (2016)
  18. Moradi, H.V.; Floryan, J.M.: A method for analysis of stability of flows in ribbed annuli (2016)
  19. Moura, R.C.; Sherwin, S.J.; Peiró, J.: Eigensolution analysis of spectral/$hp$ continuous Galerkin approximations to advection-diffusion problems: insights into spectral vanishing viscosity (2016)
  20. Spiteri, Raymond J.; Torabi Ziaratgahi, Saeed: Operator splitting for the bidomain model revisited (2016)

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