Optimal quadratic element on rectangular grids for \(H^1\) problems

DOI10.1007/s10543-020-00821-4zbMath1472.65150arXiv1903.00938OpenAlexW3080327474MaRDI QIDQ2026371

Huilan Zeng, Shuo Zhang, Chen-Song Zhang

Publication date: 19 May 2021

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00938

zbMATH Keywords

eigenvalue problemboundary value problemlower boundrectangular gridsoptimal quadratic element

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

A lowest-degree conservative finite element scheme for incompressible Stokes problems on general triangulations ⋮ An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations ⋮ A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials

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