Discrete forms of Friedrichs' inequalities in the finite element method

DOI10.1051/m2an/1981150302651zbMath0475.65072OpenAlexW2586600423MaRDI QIDQ3930585

Alexander Ženíšek

Publication date: 1981

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193383

zbMATH Keywords

finite element methodcurved finite elementsbending of thin elastic platesdiscrete forms of Friedrichs' inequalities

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

Finite element solution of nonlinear elliptic problems ⋮ Finite element approximation of nonlinear elliptic problems with discontinuous coefficients ⋮ Unnamed Item ⋮ How to avoid the use of Green's theorem in the Ciarlet-Raviart theory of variational crimes ⋮ A note on a discrete form of Friedrichs' inequality ⋮ The finite element solution of second order elliptic problems with the Newton boundary condition ⋮ Unnamed Item ⋮ Analysis of the Finite Element Variational Crimes in the Numerical Approximation of Transonic Flow ⋮ Error Estimate in an Isoparametric Finite Element Eigenvalue Problem ⋮ Professor Alexander Ženíšek passed away. ⋮ \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. II: Approximation of thin plate and thin shell problems

Cites Work

• Numerical analysis of the general biharmonic problem by the finite element method
• Approximation of the Boundary in the Finite Element Solution of Fourth Order Problems
• Curved Elements in the Finite Element Method. II
• Curved Elements in the Finite Element Method. I
• Triangular Elements in the Finite Element Method
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