Correct Wavelet-Based Multilevel Numerical Method of Local Solution of Boundary Problems of Structural Analysis

Pavel A. Akimov; Marina L. Mozgaleva

doi:10.4028/www.scientific.net/AMM.166-169.3155

Paper Titles

Bending Solution of Plates on Winkler Foundation by Element-Free Galerkin Method Based on Mindlin Plate Theory
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Study on Flexural Toughness and Crack Path Prediction for Polymer-Modified Concrete
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Experimental Verification of a Full-Size Buckling Restrained Brace
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Thermal Stress Analysis of a Certain Concrete Wind Cover
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Correct Wavelet-Based Multilevel Numerical Method of Local Solution of Boundary Problems of Structural Analysis
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Tests of Buckling-Restrained Braces Using Low-Yield Point Steel as Core Material
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Implementation Procedures of Parallel Preconditioning with Sparse Matrix Based on FEM
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Experimental Research on Mechanical Properties of Fundamental Frame Units in Multi-Ribbed Composite Wallboard
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Study on Bending-Torsional Coupling Vibration of Intermediate Axis
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 166-169Correct Wavelet-Based Multilevel Numerical Method...

Correct Wavelet-Based Multilevel Numerical Method of Local Solution of Boundary Problems of Structural Analysis

Abstract:

The distinctive paper is devoted to correct wavelet-based multilevel numerical method of local solution of boundary problems of structural analysis. Operational and variational formulations of the problem (particularly with the use of wavelet basis) are presented. Computer-oriented algorithms of fast direct and inverse discrete Haar transforms are described. Due to special algorithms of averaging within multigrid approach, reduction of the problem is provided.

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Periodical:

Applied Mechanics and Materials (Volumes 166-169)

Pages:

3155-3158

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.166-169.3155

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Online since:

May 2012

Authors:

Pavel A. Akimov, Marina L. Mozgaleva

Keywords:

Averaging, Boundary Problem, Correct Wavelet-Based Method, Haar Basis, Local Solution, Method of Extended Domain, Multilevel Method, Structural Analysis

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References

[1] 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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[2] Akimov P.A., Mozgaleva M.L., Sidorov V.N.: Fundamentals of Wavelet-based Multilevel Numerical Methods of Local Structural Analysis. International Journal for Computational Civil and Structural Engineering. Volume 7, Issue 3, 2011, pp.20-42.

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