Penalty resolution of the Babushka circle paradox

DOI10.1016/0045-7825(83)90050-6zbMath0509.73075OpenAlexW2094751132MaRDI QIDQ1838869

M. Utku, Graham F. Carey

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90050-6

zbMATH Keywords

error estimatesnumerical experimentsreduced integrationrates of convergencesimply-supported circular plateBabushka circle paradoxboundary penaltydependence of penalty parameter on mesh sizediscrete penalty techniquemodified corner conditionvalid approximations

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)

Related Items

Stokes equations with penalised slip boundary conditions, Weak imposition of the slip boundary condition on curved boundaries for Stokes flow, Finite element approximations of the Lamé system with penalized ideal contact boundary conditions, Boundary penalty finite element methods for blending surfaces. II: Biharmonic equations, Boundary penalty finite element methods for blending surfaces. III: Superconvergence and stability and examples, Penalty resolution of the Babushka circle paradox, A perspective on adaptive modeling and meshing (AM\& M), A Kirchhoff-mode method for \(C^ 0\) bilinear and Serendipity plate elements

Cites Work

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• Boundary penalty techniques
• Penalty approximation of Stokes flow
• On Penalty methods for interelement constraints
• On the accuracy and existence of solutions to primitive variable models of viscous incompressible fluids
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• Penalty resolution of the Babushka circle paradox
• Zur Struktur der Gleichungen der Elastokinetik und Elastostabilität
• The limitations of the patch test
• The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1
• Buckling of simply-supported skew plates
• Nonconforming Elements in the Finite Element Method with Penalty