Spectral method for fourth-order problems on quadrilaterals

DOI10.1007/S10915-015-0031-6zbMath1338.65258OpenAlexW1973365645WikidataQ59241335 ScholiaQ59241335MaRDI QIDQ257085

Xu-hong Yu, Ben-yu Guo

Publication date: 15 March 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-015-0031-6

zbMATH Keywords

convergenceDirichlet problemvariational formulationerror estimationmixed boundary conditionsnumerical experimentquadrilateralfourth-order elliptic equationLegendre approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Variational methods for higher-order elliptic equations (35J35)

Related Items (4)

A spectral method for fourth-order mixed inhomogeneous boundary value problem in three dimensions ⋮ Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains ⋮ A spectral method for solving nonhomogeneous Neumann boundary value problems on quadrilaterals ⋮ \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations

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