HIERARCHICAL MODELING BASED ON MIXED PRINCIPLES: ASYMPTOTIC ERROR ESTIMATES

DOI10.1142/S0218202505000662zbMath1153.74351OpenAlexW1996246935MaRDI QIDQ3370629

Alexandre L. Madureira

Publication date: 8 February 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202505000662

zbMATH Keywords

hierarchical modelingplateDimension reduction

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Hierarchical modeling of heterogeneous plates ⋮ Hierarchical modeling of piezoelectric plates ⋮ Hierarchical modeling of the heat equation in a heterogeneous plate

Cites Work

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• The problem of plate modeling: Theoretical and computational results
• Herleitung der Plattentheorie aus der dreidimensionalen Elastizitätstheorie
• Some Error Estimates for the p-Version of the Finite Element Method
• Asymptotic Estimates of Hierarchical Modeling
• Recent Developments Concerning Saint-Venant's Principle
• The Approximation Theory for thep-Version of the Finite Element Method
• The Optimal Convergence Rate of the p-Version of the Finite Element Method
• Optimal spectral approximation in linearized plate theory
• Mixed and Hybrid Finite Element Methods
• The Approximation of Solutions of Elliptic Boundary-Value Problems via the p-Version of the Finite Element Method
• The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates

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