Correct Wavelet-based Multilevel Discrete-Continual Methods for Local Solution of Boundary Problems of Structural Analysis

Pavel A. Akimov; Marina L. Mozgaleva

doi:10.4028/www.scientific.net/AMM.353-356.3224

Paper Titles

Analytical Method for Plate Theory-Based Calculation of Bridge Transverse Load Distribution Coefficient
p.3207

The Calculation and Judgment of Critical Connections of the Outer-Shell Connections
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A Quasi-Greens Function Method for the Bending Problem of Simply Supported Polygonal Shallow Spherical Shells on Pasternak Foundation
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The Study of Explicit Scheme of Hybrid Stress-Function Element with Rotation Degrees of Freedom
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Correct Wavelet-based Multilevel Discrete-Continual Methods for Local Solution of Boundary Problems of Structural Analysis
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Modeling Unstressed State of Kinematic Indeterminate Systems
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A New Solution to the Height of the Compressive Area of Reinforced Concrete Beams during Service Stage
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Relationship between Bending Solutions of FGM and Homogenous Circular Cylindrical Shells
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The Non-Planar Nonlinear Dynamic Model of the Inclined Cable with Lumped Masses
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 353-356Correct Wavelet-based Multilevel...

Correct Wavelet-based Multilevel Discrete-Continual Methods for Local Solution of Boundary Problems of Structural Analysis

Abstract:

The distinctive paper is devoted to correct wavelet-based multilevel discrete-continual methods for local solution of boundary problems of structural analysis. Initial discrete-continual operational formulation of the considering problem and corresponding operational formulation with the use of wavelet basis are presented. Due to special algorithms of averaging within multigrid approach, reduction of the problem is provided. Resultant multipoint boundary problem of structural mechanics for system of ordinary differential equations with piecewise-constant coefficients is given.

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Periodical:

Applied Mechanics and Materials (Volumes 353-356)

Pages:

3224-3227

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.353-356.3224

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Online since:

August 2013

Authors:

Pavel A. Akimov, Marina L. Mozgaleva

Keywords:

Analytical Solution, Averaging, Boundary Problem, Discrete-Continual Methods, Haar Basis, Local Solution, Method of Extended Domain, Multilevel Methods, Structural Analysis, Wavelet-Based Methods

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References

[1] Akimov P.A.: Correct Discrete-Continual Finite Element Method of Structural Analysis Based on Precise Analytical Solutions of Resulting Multipoint Boundary Problems for Systems of Ordinary Differential Equations. / Applied Mechanics and Materials Vols. 204-208 (2012).

DOI: 10.4028/www.scientific.net/amm.204-208.4502

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[2] Akimov P.A., Mozgaleva M.L.: Correct Wavelet-based Multilevel Numerical Method of Local Solution of Boundary Problems of Structural Analysis. / Applied Mechanics and Materials Vols. 166-169 (2012), pp.3155-3158.

DOI: 10.4028/www.scientific.net/amm.166-169.3155

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[3] Akimov P.A., Sidorov V.N.: Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients. / Advanced Materials Research Vols. 250-253, 2011, pp.3652-3655.

DOI: 10.4028/www.scientific.net/amr.250-253.3652

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