New error estimates of bi-cubic Hermite finite element methods for biharmonic equations

DOI10.1016/S0377-0427(01)00494-0zbMath1005.65123MaRDI QIDQ1612309

Ning-Ning Yan, Zi Cai Li

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesnumerical experimentserror boundsbiharmonic equationsuperconvergencebi-cubic Hermite finite element methods

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items

Global superconvergence of finite element methods for biharmonic equations and blending surfaces ⋮ Hermitian finite element complementing the Bogner-Fox-Schmit rectangle near curvilinear boundary ⋮ \(C^1\) finite element analysis in gradient enhanced continua ⋮ Effective condition number of the Hermite finite element methods for biharmonic equations

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