A mixed finite-element method for fourth-order elliptic problems with variable coefficients

DOI10.1016/0377-0427(88)90285-3zbMath0647.65075OpenAlexW1981511036MaRDI QIDQ1104716

S. Balasundaram, Pulin Kumar Bhattacharyya

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90285-3

zbMATH Keywords

curvature tensorerror estimatesmixed finite element methodtransverse deflectionbending and twisting moments

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Finite element methods: research in India over the last decade ⋮ A mixed finite element method for fourth order elliptic equations with variable coefficients

Cites Work

• A mixed finite element method for fourth order elliptic equations with variable coefficients
• An equilibrium finite element method for fourth order elliptic equations with variable coefficients
• Variational methods in theoretical mechanics
• On the convergence of a mixed finite-element method for plate bending problems
• Torsion of an anisotropic curved bar
• On existence of solution of the Dirichlet problem of fourth order partial differential equations with variable coefficients
• A Mixed Finite Element Method for Fourth Order Partial Differential Equations
• Variational principles and the patch test
• Equivalent Norms for Sobolev Spaces
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