Spectral element methods on triangles and quadrilaterals: Comparisons and applications

DOI10.1016/j.jcp.2004.01.010zbMath1052.65109OpenAlexW2160544341MaRDI QIDQ1877118

Francesca Rapetti, Richard Pasquetti

Publication date: 16 August 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.01.010

zbMATH Keywords

convergencenumerical examplescondition numberdiffractionelliptic equationFekete pointsSpectral elementsGauss-Lobatto pointsTriangular and quadrangular mesh elements

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45)

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