HIERARCHIC MODELS OF HELMHOLTZ PROBLEMS ON THIN DOMAINS

DOI10.1142/S0218202598000020zbMath0957.74026MaRDI QIDQ4270461

Christoph Schwab, K. Gerdes

Publication date: 22 November 1999

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

zbMATH Keywords

Helmholtz equationa posteriori error estimatorseffectivity indicesthree-dimensional plateexponentially weighted normshierarchy of two-dimensional modelstrigonometric director functions

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier--Stokes Equation ⋮ Dimensional reduction for the beam in elasticity on a bounded domain ⋮ Symmetry or not? ⋮ Dimensional reduction for the plate in elasticity on an unbounded domain.

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