Least-squares hp/spectral element method for elliptic problems

DOI10.1016/j.apnum.2009.08.008zbMath1189.65289OpenAlexW2059467882MaRDI QIDQ969297

N. Kishore Kumar, G. Naga Raju

Publication date: 6 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.08.008

zbMATH Keywords

performancenumerical examplesLaplace equationPoisson equationpreconditionerelliptic boundary value problemsnonsmooth domainsoscillating singularitiesexponential accuracygeometric meshleast-squares solutionauxiliary mappingmonotone singularitiesnonconforming \(hp\)/spectral element method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Preconditioners for iterative methods (65F08)

Related Items

Spectral element method for elliptic equations with periodic boundary conditions ⋮ Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces ⋮ Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions ⋮ Exponentially accurate spectral element method for fourth order elliptic problems ⋮ \(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains ⋮ A study of spectral element method for elliptic interface problems with nonsmooth solutions in $\mathbb{R}^{2}$ ⋮ Spectral element method for three dimensional elliptic problems with smooth interfaces

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