Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems

DOI10.1002/num.20127zbMath1106.65081OpenAlexW2021584715MaRDI QIDQ5486292

Jichun Li

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.20127

zbMATH Keywords

convergencenumerical exampleGalerkin methoderror boundsparabolic equationmixed finite element methodelliptic equationbackward Euler schemefourth order problemsinterpolation operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for higher-order parabolic equations (35K30)

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Cites Work

• Finite Element Methods for Navier-Stokes Equations