A new quadratic nonconforming finite element on rectangles

DOI10.1002/num.20131zbMath1097.74059OpenAlexW2159661655MaRDI QIDQ5486299

Heejeong Lee, Dongwoo Sheen

Publication date: 6 September 2006

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20131

zbMATH Keywords

optimal error estimatesinterpolation operators

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (10)

A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary conduction-convection problem ⋮ New nonconforming finite elements on arbitrary convex quadrilateral meshes ⋮ Nonconforming finite element methods on quadrilateral meshes ⋮ A new family of nonconforming finite elements on quadrilaterals ⋮ A nonconforming Crouzeix-Raviart type finite element on polygonal meshes ⋮ Optimal quadratic element on rectangular grids for \(H^1\) problems ⋮ New robust nonconforming finite elements of higher order ⋮ The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids ⋮ A new cubic nonconforming finite element on rectangles ⋮ Three‐dimensional quadratic nonconforming brick element

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