On the Existence of Explicit $hp$-Finite Element Methods Using Gauss–Lobatto Integration on the Triangle

DOI10.1137/070685439zbMath1191.65154OpenAlexW2037231404MaRDI QIDQ3559149

Brian T. Helenbrook

Publication date: 11 May 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070685439

zbMATH Keywords

line segmentshexahedratrianglesquadrilaterals\(hp\)-finite element methodsmass-lumpingGauss-Lobatto integration rule

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Spectral methods applied to problems in fluid mechanics (76M22) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spectral and related methods applied to problems in solid mechanics (74S25) Finite element methods applied to problems in fluid mechanics (76M10) Numerical quadrature and cubature formulas (65D32)

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