A piecewiseP2-nonconforming quadrilateral finite element

DOI10.1051/m2an/2012044zbMath1270.65067OpenAlexW2129097624MaRDI QIDQ5299852

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Publication date: 24 June 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2012044

zbMATH Keywords

numerical exampleserror analysisStokes problemenergy normelliptic problemnonconforming finite elementquadrilateral finite element

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

New nonconforming finite elements on arbitrary convex quadrilateral meshes ⋮ A new rotated nonconforming quadrilateral element ⋮ Nonconforming finite element methods on quadrilateral meshes ⋮ AC⁰-nonconforming quadrilateral finite element for the fourth-order elliptic singular perturbation problem ⋮ 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 ⋮ A new cubic nonconforming finite element on rectangles ⋮ Three‐dimensional quadratic nonconforming brick element

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