\(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains. III: Error estimates, preconditioners, computational techniques and numerical results

DOI10.1016/j.camwa.2015.12.046zbMath1443.65388OpenAlexW2313675821MaRDI QIDQ2007214

Yanyan Li

Publication date: 12 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.12.046

zbMATH Keywords

error estimatesspectral element methodpreconditionernumerical schemeexponential accuracygeometric mesh

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions ⋮ Least-squares spectral element preconditioners for fourth order elliptic problems ⋮ A \(hk\) mortar spectral element method for the \(p\)-Laplacian equation ⋮ Spectral method and spectral element method for three dimensional linear elliptic system: analysis and application ⋮ Spectral element method for three dimensional elliptic problems with smooth interfaces ⋮ Numerical simulation of the bending of a layered beam with prestressed layer under finite strains using the spectral element method

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