Cubature points based triangular spectral elements: An accuracy study

Richard Pasquetti 1, 2 Francesca Rapetti 2
1 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée
2 JAD - Laboratoire Jean Alexandre Dieudonné
Abstract : We investigate the cubature points based triangular spectral element method and provide accuracy results for elliptic problems in non polygonal domains using various isoparametric mappings. The capabilities of the method are here again clearly confirmed.
Keywords : simplicial meshes cubature points Spectral element method isoparametric mappings Fekete points
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Richard Pasquetti, Francesca Rapetti. Cubature points based triangular spectral elements: An accuracy study. Journal of Mathematical Study, Global Science Press, 2018, 51 (1), pp.15-25. ⟨10.4208/jms.v51n1.18.02⟩. ⟨hal-01954133⟩

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