Spectral Element Discretization of the Circular Driven Cavity, Part II: The Bilaplacian Equation

DOI10.1137/S0036142999359670zbMath0988.65110OpenAlexW3087563926MaRDI QIDQ2706394

Zakaria Belhachmi, Christine Bernardi, Andreas Karageorghis

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999359670

zbMATH Keywords

convergencenumerical experimentsspectral elementsdiscontinuous boundary databilaplacian equationcircular driven cavity

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Generalized Jacobi approximation in multiple dimensions and its applications ⋮ Generalized Jacobi-Gauss-Lobatto interpolation ⋮ Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains ⋮ Spectral element method for mixed inhomogeneous boundary value problems of fourth order ⋮ Jacobi and Laguerre quasi-orthogonal approximations and related interpolations ⋮ Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions ⋮ \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations ⋮ Second order Jacobi approximation with applications to fourth-order differential equations ⋮ Spectral method for fourth-order problems on quadrilaterals

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