Local Jacobi Operators and Applications to thep-Version of Finite Element Method in Two Dimensions

DOI10.1137/090747208zbMath1218.65129OpenAlexW1977078284MaRDI QIDQ3078550

Ben Qi Guo, Ivo M. Babuška

Publication date: 28 February 2011

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

Full work available at URL: https://doi.org/10.1137/090747208

zbMATH Keywords

finite elementsDirichlet boundary conditionssingular solutionsJacobi operatoroptimal convergenceChebyshev projectionoptimal asymptotic error

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (10)

Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the \(p\)-version of the finite element method ⋮ An \textit{hp}-version error analysis of the discontinuous Galerkin method for linear elasticity ⋮ Construction of polynomial extensions in two dimensions and application to the \(h\)-\(p\) finite element method ⋮ Direct and inverse approximation theorems for the \(p\)-version of the finite element method in the framework of weighted Besov spaces. III: Inverse approximation theorems ⋮ Stable Lifting of Polynomial Traces on Triangles ⋮ $H^2$-Stable Polynomial Liftings on Triangles ⋮ LOCAL CHEBYSHEV PROJECTION–INTERPOLATION OPERATOR AND APPLICATION TO THE h–p VERSION OF THE FINITE ELEMENT METHOD IN THREE DIMENSIONS ⋮ A \(P_{k + 2}\) polynomial lifting operator on polygons and polyhedrons ⋮ Reprint of ``Construction of polynomial extensions in two dimensions and application to the \(h\)-\(p\) finite element method ⋮ The triangular spectral element method for Stokes eigenvalues

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