The ultraspherical spectral element method

•A sparse spectral element method in the high-polynomial regime.•Fast direct solver allows hp-adaptivity to be efficiently performed.•Precomputed operators can be reused for fast solves in implicit time-stepping.•Open-source software system, ultraSEM, for flexible spectral element computations. We i...

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Veröffentlicht in:	Journal of computational physics 2021-07, Vol.436, p.110087, Article 110087
Hauptverfasser:	Fortunato, Daniel, Hale, Nicholas, Townsend, Alex
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational physics Hierarchical Poincaré–Steklov method hp-adaptivity Linear systems Partial differential equations Polynomials Quadrilaterals Source code Spectra Spectral element method Spectral methods Ultraspherical spectral method
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