An optimal \(C^0\) finite element algorithm for the 2D biharmonic problem: Theoretical analysis and numerical results

DOI10.1007/s002110100284zbMath0997.65133OpenAlexW2009926812MaRDI QIDQ5958920

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Publication date: 17 November 2002

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110100284

zbMATH Keywords

convergencenumerical resultsNavier-Stokes equationsmixed finite element methodcrack propagationbiharmonic problemCiarlet-Raviart methodGlowinski-Pironneau methodoptimal a priori error estimatesplate equations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Brittle fracture (74R10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) 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) Navier-Stokes equations (35Q30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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