Development of a P2 element with optimal L2 convergence for biharmonic equation

DOI10.1002/num.22361zbMath1418.65181OpenAlexW2916939650MaRDI QIDQ5224990

Xiu Ye, Shangyou Zhang, Lin Mu

Publication date: 25 July 2019

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

Full work available at URL: https://doi.org/10.1002/num.22361

zbMATH Keywords

finite element methodsbiharmonic equationspolyhedral meshesweak Galerkinweak Laplacian

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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