Comparison Results of NonstandardP2Finite Element Methods for the Biharmonic Problem

DOI10.1051/m2an/2014062zbMath1327.65211OpenAlexW1965104497MaRDI QIDQ5501883

Carsten Carstensen, Neela Nataraj, Dietmar Gallistl

Publication date: 14 August 2015

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

Full work available at URL: https://doi.org/10.1051/m2an/2014062

zbMATH Keywords

comparisondiscontinuous Galerkin methodMorley elementbiharmonicinterior penaltymedius error analysis

Mathematics Subject Classification ID

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) Complexity and performance of numerical algorithms (65Y20)

Related Items (7)

Lowest-order equivalent nonstandard finite element methods for biharmonic plates ⋮ Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems ⋮ Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation ⋮ A new mixed method for the biharmonic eigenvalue problem ⋮ Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. II---Overconsistency and Classical Nonconforming Elements ⋮ Finite element methods: research in India over the last decade ⋮ A Quasi-optimal Crouzeix--Raviart Discretization of the Stokes Equations

Uses Software

• na14

Cites Work

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