Internal finite element approximation in the dual variational method for the biharmonic problem

DOI10.21136/AM.1985.104149zbMath0584.65068OpenAlexW2621381358MaRDI QIDQ3707302

Ivan Hlaváček, Michal Křížek

Publication date: 1985

Full work available at URL: https://eudml.org/doc/15404

zbMATH Keywords

mixed boundary conditionsconforming finite element methodbiharmonic problemdual variational formulation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (1)

Divergence-free finite element spaces for stress tensors

Cites Work

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• Dual iterative techniques for solving a finite element approximation of the biharmonic equation
• Numerical analysis of the general biharmonic problem by the finite element method
• Conforming equilibrium finite element methods for some elliptic plane problems
• Internal finite element approximations in the dual variational method for second order elliptic problems with curved boundaries
• A Clough-Tocher Type Element Useful for Fourth Order Problems Over Nonpolygonal Domains
• Curved Elements in the Finite Element Method. I

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