A new triangular spectral element method. I: Implementation and analysis on a triangle

DOI10.1007/s11075-012-9677-4zbMath1280.65131arXiv1204.4790OpenAlexW2155131245MaRDI QIDQ383519

Li-Lian Wang, Michael Daniel Samson, Hui-yuan Li

Publication date: 4 December 2013

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4790

zbMATH Keywords

algorithmnumerical exampleserror boundsdiscontinuous Galerkin methodconsistency conditionspectral accuracyrectangle-triangle mappingtriangular spectral element method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Uses Software

• GQLOG

Cites Work

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